Parivash Ghorbanipour, Mohammad Hossein Heydari, Hojat Laeli Dastjerdi, Mustafa ذشغقشئ, "A continuous galerkin-legendre spectralmethod for third-kind volterra integral equations", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 0, 2026

Mohammad Hossein Heydari, M. A. Zaky, Rezvan Zarei, Omid Bavi, "Numerical solution of a class of nonlinear singular tempered fractional integro-differential equations", APPLICABLE ANALYSIS, vol. 0, 2026

Mohammad Hossein Heydari, Tooba Baghban, M. Bayram, M. A. Zaky, "Discrete Chebyshev polynomials for two-dimensional fractional optimal control problems involving Caputo-Hadamard derivative", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 0, 2026

F. Afiatdoust, M.M. Hosseini, Mohammad Hossein Heydari, M. Mohseni Moghadam, "A multi-stage hybrid technique for 2D stochastic nonlinear It-Volterra integral equations", APPLIED NUMERICAL MATHEMATICS, vol. 224, 2026

Shahram Mansoori aref, Mohammad Hossein Heydari, M. Bayram, "A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations", Results in Applied Mathematics, vol. 29, 2026

Mohammad Hossein Heydari, Tooba Baghban, M. Bayram, M.A. Zaky, "A piecewise cardinal method for a class of third-kind fractional quadratic integro-differential equations involving Caputo tempered derivative", CHAOS SOLITONS and FRACTALS, vol. 202, 2026

Tooba Baghban, Mohammad Hossein Heydari, M. Bayram, M.A. Zaky, "A piecewise logarithmic Jacobi cardinal scheme for nonlinear third-kind fractional integro-differential equations", APPLIED NUMERICAL MATHEMATICS, vol. 220, 2026

A.M. Maleki, M. Hosseininia, Mohammadreza Ghahramani, Omid Bavi, Mohammad Hossein Heydari, "Personalized prognosis of glioblastoma via fractional-order/biomechanical modeling: Bridging anomalous diffusion, continuum mechanics, and MRI data", Results in Engineering, vol. 29, 2026

M. Hosseininia, Mohammad Hossein Heydari, M. A. Zaky, M. Bayram, "psi-Jacobi functions method for multi-order fractional multi-dimensional optimal control problems involving psi-Caputo derivative", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 0, 2025

F. Afiatdoust, M. M. Hosseini, Mohammad Hossein Heydari, "Generalized Shifted Chebyshev Polynomials for Time Fractional Black-Scholes Model", Computational Economics, vol. 0, 2025

Shahrbanoo Karami, Mohammad Hossein Heydari, Dumitru Baleanu, "Fractional logarithmic Chebyshev cardinal functions: Application for Caputo-Hadamard fractional optimal control problems", JOURNAL OF VIBRATION AND CONTROL, vol. 31, 2025

Sajad Kosari, Mohammad Hossein Heydari, M. Razzaghi, M. Bayram, "Studying the stability of the cholera fractional model and its simulation using generalized hat basis functions", Results in Physics, vol. 76, 2025

Mohammad Hossein Heydari, Fatemeh Rostami, M. Bayram, D. Baleanu, "Shifted Chebyshev polynomials method for Caputo-Hadamard fractional Ginzburg-Landau equation", Results in Physics, vol. 74, 2025

Fatemeh Rostami, Mohammad Hossein Heydari, M. Bayram, D. Baleanu, "Numerical solution of coupled fractional Ginzburg-Landau equations under Caputo-Hadamard derivative", Results in Physics, vol. 77, 2025

Mohammad Hossein Heydari, D. Baleanu, M. Bayram, "Discrete Legendre polynomials method to solve the coupled nonlinear Caputo-Hadamard fractional Ginzburg-Landau equations", Results in Physics, vol. 70, 2025

Mohammad Hossein Heydari, M. Razzaghi, M. Bayram, "A numerical approach for multi-dimensional Psi-Hilfer fractional nonlinear Galilei invariant advection-diffusion equations", Results in Physics, vol. 68, 2025

Pegah Senfiazad, Mohammad Hossein Heydari, M. Bayram, D. Baleanu, "A numerical method based on the shifted Jacobi polynomials for a class of tempered fractional quadratic integro-differential equations", Results in Applied Mathematics, vol. 27, 2025

M. Hosseininia, Mohammad Hossein Heydari, D. Baleanu, M. Bayram, "A hybrid method based on the classical/piecewise Chebyshev cardinal functions for multi-dimensional fractional Rayleigh-Stokes equations", Results in Applied Mathematics, vol. 25, 2025

S. Karami, Mohammad Hossein Heydari, D. Baleanu, Mokhtar Shasadeghi, "Generalized Hat Functions for Fractional Delay Optimal Control Problems With ?-Caputo Fractional Derivative", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 48, 2025

Mohammad Hossein Heydari, Javad Nazari, M. Hosseininia, M. Razzaghi, "A numerical method based on the hat functions to solve a category of nonlinear fractional integro-differential equations involving Caputo-Hadamard derivative", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 463, 2025

F. Afiatdoust, Mohammad Hossein Heydari, M. M. Hosseini, M. Bayram, "An efficient computational method for nonlinear mixed Volterra-Fredholm integral equations", Journal of Applied Mathematics and Computing, vol. 71, 2025

S. Esmaili, Mohammad Hossein Heydari, M. Razzaghi, "A fractional model of tumor growth with a free boundary", Journal of Applied Mathematics and Computing, vol. 71, 2025

Mohammad Hossein Heydari, Dumitru Baleanu, M. Bayram, "A cardinal-based approximation approach for a family of nonlinear fractional integro-differential equations involving Caputo tempered derivative", Journal of Applied Mathematics and Computing, vol. 71, 2025

Mohammad Hossein Heydari, Dumitru Baleanu, "An efficient discrete Chebyshev polynomials strategy for tempered time fractional nonlinear Schr?dinger problems", journal of advanced research, vol. 75, 2025

Parisa Rahimkhani, Mohammad Hossein Heydari, "Numerical investigation of $\Psi $-fractional differential equations using wavelets neural networks", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 44, 2025

F. Afiatdoust, Mohammad Hossein Heydari, M. Bayram, D. Baleanu, "A four-block scheme for nonlinear third-kind Volterra integral equations", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 44, 2025

Sh. Karami, Mohammad Hossein Heydari, D. Baleanu, M. Bayram, "Modified hat functions for constrained fractional optimal control problems with Psi-Caputo derivative", Communications in Nonlinear Science and Numerical Simulation, vol. 143, 2025

Tooba Baghban, Mohammad Hossein Heydari, M. Bayram, M.A. Zaky, "A reliable strategy for a category of third-kind nonlinear fractional integro-differential equations", CHAOS SOLITONS and FRACTALS, vol. 200, 2025

Mohammad Hossein Heydari, D. Baleanu, M. Bayram, "Piecewise logarithmic Chebyshev cardinal functions: Application for nonlinear integral equations with a logarithmic singular kernel", APPLIED NUMERICAL MATHEMATICS, vol. 217, 2025

Mohammad Hossein Heydari, D. Baleanu, M. Bayramu, "Piecewise second kind Chebyshev functions for a class of piecewise fractional nonlinear reaction-diffusion equations with variable coefficients", AEJ - Alexandria Engineering Journal, vol. 112, 2025

Mohammad Hossein Heydari, M.A. Zaky, D. Baleanu, M. Bayram, "Hahn polynomials method for Psi -Caputo fractional diffusion-wave equation involving damping and reaction terms", AEJ - Alexandria Engineering Journal, vol. 130, 2025

Khadij Jafare, Seyed Jafar Rouzegar, Mohammad Hossein Heydari, M. Hosseininia, "A Cardinal-Based Approximate Method for Time Fractional Forced Vibration Analysis of Euler-Bernoulli Viscoelastic Beam", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 48, 2025

Mohammad Hossein Heydari, Fatemeh Heydari gharaie, Omid Bavi, M. Bayram, "Logarithmic Bernstein functions for fractional Rosenau-Hyman equation with the Caputo-Hadamard derivative", Results in Physics, vol. 67, 2024

Mohammad Hossein Heydari, M. Razzaghi, "Orthonormal discrete Legendre polynomials for stochastic distributed-order time-fractional fourth-order delay sub-diffusion equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 47, 2024

Hadis Azin, Habibirad Ali, Esmail Hesameddini, Mohammad Hossein Heydari, "An efficient collocation scheme for new type of variable-order fractional Lane-Emden equation", Iranian Journal of Numerical Analysis and Optimization, vol. 14, 2024

Ali Habibirad, Esmail Hesameddini, Younes Shekari, Mohammad Hossein Heydari, Omid Baghani, "A meshless method based on moving Kriging interpolation for the numerical solution of the transient flow of magnetohydrodynamic fractional Maxwell fluid equation", Journal of Applied and Computational Mechanics, vol. 10, 2024

Mohammad Hossein Heydari, Shabnam Zhagharian, C. Cattani, "A projection method based on the piecewise Chebyshev cardinal functions for nonlinear stochastic ABC fractional integro-differential equations", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 47, 2024

F. Afiatdoust, M.M. Hosseini, Mohammad Hossein Heydari, M. Mohseni Moghadam, "A hybrid-based numerical method for a class of systems of mixed Volterra-Fredholm integral equations", Results in Applied Mathematics, vol. 22, 2024

F. Afiatdoust, Mohammad Hossein Heydari, M.M. Hosseini, M. Mohseni Moghadam, "A numerical technique for a class of nonlinear fractional 2D Volterra integro-differential equations", Results in Applied Mathematics, vol. 24, 2024

Mohammad Hossein Heydari, M. Razzaghi, "A highly accurate method for multi-term time fractional diffusion equation in two dimensions with psi-Caputo fractional derivative", Results in Applied Mathematics, vol. 23, 2024

Mohammad Hossein Heydari, M. Razzaghi, "A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving psi-Caputo fractional derivative", Results in Applied Mathematics, vol. 23, 2024

Mohammad Hossein Heydari, H Azin, Seyedeh elham Hoseyni, "An operational matrix strategy for time fractional Fokker-Planck equation in an unbounded space domain", PHYSICA SCRIPTA, vol. 99, 2024

Mohammad Hossein Heydari, M. Razzaghi, "A new wavelet method for fractional integro-differential equations with psi-Caputo fractional derivative", MATHEMATICS AND COMPUTERS IN SIMULATION, vol. 217, 2024

F. Afiatdoust, Mohammad Hossein Heydari, M. M. Hosseini, "BLOCK-BY-BLOCK TECHNIQUE FOR A CLASS OF NONLINEAR SYSTEMS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS", Journal of Applied Analysis and Computation, vol. 14, 2024

Ming Li, Jun-Sheng Duan, Mohammad Hossein Heydari, YangQuan Chen, "Editorial: Long-range dependent processes: theory and applications, volume II", Frontiers in Physics, vol. 12, 2024

A. Habibirad, O. Baghani, Esmail Hesameddini, Mohammad Hossein Heydari, H. Azin, "A meshless method based on the modified moving Kriging interpolation for numerical solution of space-fractional diffusion equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 163, 2024

Mohammad Hossein Heydari, D. Baleanu, "A new strategy based on the logarithmic Chebyshev cardinal functions for Hadamard time fractional coupled nonlinear Schrodinger-Hirota equations", Communications in Nonlinear Science and Numerical Simulation, vol. 135, 2024

Mohammad Hossein Heydari, Shabnam Zhagharian, M. Razzaghi, "Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation", Communications in Nonlinear Science and Numerical Simulation, vol. 130, 2024

Mohammad Hossein Heydari, M. Hosseininia, M. Razzaghi, "Logarithmic Chelyshkov functions for one- and two-dimensional nonlinear Caputo-Hadamard fractional Rosenau equation", CHAOS SOLITONS and FRACTALS, vol. 185, 2024

Shabnam Zhagharian, Mohammad Hossein Heydari, Mohsen Razzaghi, "Piecewise fractional Legendre functions for nonlinear fractional optimal control problems with ABC fractional derivative and non-smooth solutions", ASIAN JOURNAL OF CONTROL, vol. 26, 2024

Mohammad Hossein Heydari, M. Razzaghi, "Jacobi polynomials method for a coupled system of Hadamard fractional Klein-Gordon-Schrodinger equations", AEJ - Alexandria Engineering Journal, vol. 107, 2024

Mohammad Hossein Heydari, D. Baleanu, "A numerical approach for a category of piecewise fractional variational problems depending on an indefinite integral", AEJ - Alexandria Engineering Journal, vol. 106, 2024

Mohammad Hossein Heydari, D. Baleanu, "A numerical approach based on the Chebyshev polynomials for tempered time fractional coupled Burger's equations", AEJ - Alexandria Engineering Journal, vol. 104, 2024

Masoumeh Hosseininia, Omid Bavi, Mohammad Hossein Heydari, Dumitru Baleanu, "A new application of fractional derivatives for predicting human glioblastoma multiforme tumor growth", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 165, 2024

Shahrbanoo Karami, Alireza Fakharzadeh-Jahromi, Mohammad Hossein Heydari, "A cardinal-based numerical method for fractional optimal control problems with Caputo-Katugampola fractional derivative in a large domain", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 55, 2024

Mahsa Vazirzadeh, Seyed Jafar Rouzegar, Mohammad Hossein Heydari, "A refined fractional viscoelastic model for vibration analysis of moderately-thick plates", MECHANICS RESEARCH COMMUNICATIONS, vol. 135, 2024

M. Hosseininia, Mohammad Hossein Heydari, M. Razzaghi, "A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 46, 2023

Javad Nazari, Mohammad Hossein Heydari, M. Hosseininia, "Romanovski-Jacobi polynomials for the numerical solution of multi-dimensional multi-order time fractional telegraph equations", Results in Physics, vol. 53, 2023

Mohammad Hossein Heydari, M. Razzaghi, Sh. Karami, "Orthonormal Chelyshkov polynomials for multi-term time fractional two-dimensional telegraph type equations", Results in Physics, vol. 55, 2023

Mohammad Hossein Heydari, S. Rashid, Yu-Ming Chu, "Chelyshkov polynomials method for distributed-order time fractional nonlinear diffusion-wave equations", Results in Physics, vol. 47, 2023

Mohammad Hossein Heydari, Shabnam Zhagharian, "A hybrid approach for piecewise fractional reaction-diffusion equations", Results in Physics, vol. 51, 2023

Mohammad Hossein Heydari, "A computational approach for a system of coupled distributed-order fractional Klein-Gordon-Schrodinger equations", Results in Physics, vol. 51, 2023

Mohammad Hossein Heydari, "A cardinal approach for two-dimensional modified anomalous space-time fractional sub-diffusion equation", Results in Physics, vol. 49, 2023

H Azin, Mohammad Hossein Heydari, O Baghani, F Mohammadi, "Fractional Vieta-Fibonacci wavelets: application for systems of fractionaldelay differential equations", PHYSICA SCRIPTA, vol. 98, 2023

Mohammad Hossein Heydari, Shabnam Zhagharian, "Genocchi polynomials for variable-order time fractional Fornberg-Whitham type equations", Partial Differential Equations in Applied Mathematics, vol. 8, 2023

Mohammad Hossein Heydari, Mahmood Haji-Shaabani, Zahra Rasti, "Orthonormal discrete Legendre polynomials for nonlinear reaction-diffusion equations with ABC fractional derivative and non?local boundary conditions", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 46, 2023

Shabnam Zhagharian, Mohammad Hossein Heydari, M. Razzaghi, "A numerical method for two-dimensional distributed-order fractional nonlinear Sobolev equation", Journal of Applied Analysis and Computation, vol. 13, 2023

Mohammad Hossein Heydari, Mohsen Razzaghi, Dumitru Baleanu, "Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations", journal of advanced research, vol. 49, 2023

Mohammad Hossein Heydari, Mohsen Razzaghi, Shabnam Zhagharian, "Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 54, 2023

F. Afiatdoust, Mohammad Hossein Heydari, M. M. Hosseini, "A block-by-block approach for nonlinear fractional integro-differential equations", INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 100, 2023

Mohammad Hossein Heydari, Shabnam Zhagharian, M. Razzaghi, "Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations", COMPUTERS and MATHEMATICS WITH APPLICATIONS, vol. 152, 2023

Mohammad Hossein Heydari, M. Hosseininia, "An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system", COMPUTERS and MATHEMATICS WITH APPLICATIONS, vol. 140, 2023

F. Afiatdoust, Mohammad Hossein Heydari, M. M. Hosseini, "A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 42, 2023

Mohammad Hossein Heydari, M. Razzaghi, "Piecewise fractional Chebyshev cardinal functions: Application for time fractional Ginzburg-Landau equation with a non-smooth solution", CHAOS SOLITONS and FRACTALS, vol. 171, 2023

Parisa Rahimkhani, Mohammad Hossein Heydari, "Fractional shifted Morgan-Voyce neural networks for solving fractal-fractional pantograph differential equations", CHAOS SOLITONS and FRACTALS, vol. 175, 2023

Mohammad Hossein Heydari, M. Hosseininia, D. Baleanu, "An efficient method for 3D Helmholtz equation with complex solution", AIMS Mathematics, vol. 8, 2023

Omid Bavi, Masoumeh Hosseininia, Mohammad Hossein Heydari, "A mathematical model for precise predicting microbial propagation based on solving variable?order fractional diffusion equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 46, 2023

Omid Bavi, M. Hosseininia, Mojtaba Hajishamsae, Mohammad Hossein Heydari, "Glioblastoma multiforme growth prediction using a Proliferation-Invasion model based on nonlinear time-fractional 2D diffusion equation", CHAOS SOLITONS and FRACTALS, vol. 170, 2023

Ali Habibirad, Esmail Hesameddini, Hadis Azin, Mohammad Hossein Heydari, "The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional Cable equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 150, 2023

Mohammad Hossein Heydari, M. Razzaghi, "A hybrid method based on the Chebyshev cardinal functions/wavelets for time fractional coupled Klein-Gordon-Schr?dinger equations", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 427, 2023

Ali Habibirad, Esmail Hesameddini, Hadiz Azin, Mohammad Hossein Heydari, "The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional Cable equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 150, 2023

Mohammad Hossein Heydari, S. Rashid, F. Jarad, "A numerical method for distributed-order time fractional 2D Sobolev equation", Results in Physics, vol. 45, 2023

Mohammad Hossein Heydari, M. Razzaghi, D. Baleanu, "Numerical solution of distributed-order time fractional Klein-Gordon-Zakharov system", Journal of Computational Science, vol. 67, 2023

Mohammad Hossein Heydari, M. Hosseininia, D. Baleanu, "A computational approach based on the fractional Euler functions and Chebyshev cardinal functions for distributed-order time fractional 2D diffusion equation", AEJ - Alexandria Engineering Journal, vol. 67, 2023

Mohammad Hossein Heydari, M. Razzaghi, C. Cattani, "Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations", INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 100, 2023

F. Afiatdoust, Mohammad Hossein Heydari, M. M. Hosseini, "A block-by-block method for nonlinear variable-order fractional quadratic integral equations", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 42, 2023

Mohammad Hossein Heydari, M. Razzaghi, D. Baleanu, "A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schr?dinger equation", Communications in Nonlinear Science and Numerical Simulation, vol. 116, 2023

Mohammad Hossein Heydari, A. Atangana, "A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative", mathematical sciences, vol. 17, 2023

Mohammad Hossein Heydari, Mohsen Razzaghi, Zakieh Avazzadeh, "Orthonormal piecewise Bernoulli functions: Application for optimal control problems generated using fractional integro-differential equations", JOURNAL OF VIBRATION AND CONTROL, vol. 29, 2023

Mohammad Hossein Heydari, M. Razzaghi, "Highly accurate solutions for space-time fractional Schr?dinger equations with non-smooth continuous solution using the hybrid clique functions", mathematical sciences, vol. 17, 2023

Shahrbanoo Karami, Alireza Fakharzadeh-Jahromi, Mohammad Hossein Heydari, "A computational method based on the generalized Lucas polynomials for fractional optimal control problems", Advances in Difference Equations, vol. 2022, 2022

Mohammad Hossein Heydari, R. Tavakoli, M. Razzaghi, "Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 53, 2022

M. Hosseininia, Mohammad Hossein Heydari, Z. Avazzadeh, "A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 142, 2022

M. Hosseininia, Mohammad Hossein Heydari, M. Razzaghi, "Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative", COMPUTERS and MATHEMATICS WITH APPLICATIONS, vol. 125, 2022

Mohammad Hossein Heydari, M. Razzaghi, Seyed Jafar Rouzegar, "Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation", CHAOS SOLITONS and FRACTALS, vol. 162, 2022

Omid Bavi, M. Ozmaeian, Mohammad Hossein Heydari, "Editorial: Biomechanics and Mechanobiology", Frontiers in Mechanical Engineering, vol. 8, 2022

Mohammad Hossein Heydari, Mohsen Razzaghi, "Third-kind Chebyshev cardinal functions for variable-order time fractional RLW-Burgers equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 45, 2022

Hosseininia Masoumeh, Mohammad Hossein Heydari, Zakieh Avazzadeh, "A hybrid approach established upon the Müntz-Legender functions and 2D Müntz-Legender wavelets for fractional Sobolev equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 45, 2022

Omid Bavi, M. Hosseininia, Mohammad Hossein Heydari, N. Bavi, "SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: A meshless algorithm for the fractional diffusion equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 138, 2022

Mohammad Hossein Heydari, M. Razzaghi, "Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 53, 2022

Mohammad Hossein Heydari, M. Razzaghi, Z. Avazzadeh, "Orthonormal Bernoulli polynomials for space-time fractal-fractional modified Benjamin-Bona-Mahony type equations", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Z. Avazzadeh, "Jacobi-Gauss-Lobatto collocation approach for non-singular variable-order time fractional generalized Kuramoto-Sivashinsky equation", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Omid Bavi, "An optimization method based on the Legendre wavelets for 3D rotating, squeezing and stretching magnetohydrodymanic flow in a channel with porous wall", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Omid Bavi, "An efficient wavelet method for nonlinear problems arising in heat transfer", ENGINEERING WITH COMPUTERS, vol. 38, 2022

R. Roohi, M. Hosseininia, Mohammad Hossein Heydari, "A wavelet approach for the variable-order fractional model of ultra-short pulsed laser therapy", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Z. Avazzadeh, "A hybrid method for variable-order fractional 2D optimal control problems on an unbounded domain", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Zakieh Avazzadeh, Carlo Cattani, "Orthonormal shifted discrete Hahn polynomials for a new category of nonlinear variable?order fractional 2D optimal control problems", ASIAN JOURNAL OF CONTROL, vol. 24, 2022

Mohammad Hossein Heydari, Z. Avazzadeh, "Numerical study of non-singular variable-order time fractional coupled Burgers' equations by using the Hahn polynomials", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Z. Avazzadeh, C. Cattani, "Numerical solution of variable-order space-time fractional KdV-Burgers-Kuramoto equation by using discrete Legendre polynomials", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Z. Avazzadeh, "Chebyshev-Gauss-Lobatto collocation method for variable-order time fractional generalized Hirota-Satsuma coupled KdV system", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, M. Hosseininia, "A new variable-order fractional derivative with non-singular Mittag-Leffler kernel: application to variable-order fractional version of the 2D Richard equation", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Hadis Azin, Mohammad Hossein Heydari, Fakhrodin Mohammadi, "Vieta-Fibonacci wavelets: Application in solving fractional pantograph equations", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 45, 2022

Mohammad Hossein Heydari, M. Razzaghi, "Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 402, 2022

Mohammad Hossein Heydari, M. Razzaghi, "A new class of orthonormal basis functions: application for fractional optimal control problems", INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, vol. 53, 2022

M. Hosseininia, Mohammad Hossein Heydari, Z. Avazzadeh, "Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation", CHAOS SOLITONS and FRACTALS, vol. 155, 2022

Javad Ansari, Ali Reza Abbasi, Mohammad Hossein Heydari, Zakieh Avazzadeh, "Simultaneous design of fuzzy PSS and fuzzy STATCOM controllers for power system stability enhancement", AEJ - Alexandria Engineering Journal, vol. 61, 2022

Ali Habibi Rad, R. Roohi, Esmail Hesameddini, Mohammad Hossein Heydari, "A reliable algorithm to determine the pollution transport within underground reservoirs: implementation of an efficient collocation meshless method based on the moving Kriging interpolation", ENGINEERING WITH COMPUTERS, vol. 38, 2022

Mohammad Hossein Heydari, Zakieh Avazzadeh, "A direct computational method for nonlinear variable-order fractional delay optimal control problems", ASIAN JOURNAL OF CONTROL, vol. 23, 2021

Fatemeh Alsadat Aghaei Maybodi, Mohammad Hossein Heydari, Farid Mohammadi Maalek Ghaini, "Gaussian-radial basis functions for solving fractional parabolic partial integro-differential equations", Journal of Mathematical Extension, vol. 15, 2021

Mohammad Hossein Heydari, Mohsen Razzaghi, Zakieh Avazzadeh, "Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Mohammad Hossein Heydari, Zakieh Avazzadeh, Carlo Cattani, "Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers' equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

M. Hosseininia, Mohammad Hossein Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini, Z. Avazzadeh, "A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

R. Roohi, Mohammad Hossein Heydari, Z. Avazzadeh, "Optimal control of hyperthermia thermal damage based on tumor configuration", Results in Physics, vol. 23, 2021

Mohammad Hossein Heydari, Omid Bavi, "An optimal variational iteration method for investigating the physical behavior of quasi-steady squeezing flow confined between parallel rigid walls", PHYSICA SCRIPTA, vol. 96, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, A. Atangana, "Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, "Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Mohammad Hossein Heydari, Abdon Atangana, Zakieh Avazzadeh, "Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, "Fibonacci polynomials for the numerical solution of variable-order space-time fractional Burgers-Huxley equation", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

M. Hosseininia, Mohammad Hossein Heydari, F. M. Maalek Ghaini, "A numerical method for variable-order fractional version of the coupled 2D Burgers equations by the 2D Chelyshkov polynomials", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Masoumeh Hosseininia, Mohammad Hossein Heydari, Carlo Cattani, "A wavelet method for nonlinear variable-order time fractional 2D Schrodinger equation", Discrete and Continuous Dynamical Systems-Series S, vol. 14, 2021

M. Hosseininia, Mohammad Hossein Heydari, Z. Avazzadeh, "Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets", ENGINEERING WITH COMPUTERS, vol. 37, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, "New formulation of the orthonormal Bernoulli polynomials for solving the variable-order time fractional coupled Boussinesq-Burger's equations", ENGINEERING WITH COMPUTERS, vol. 37, 2021

Mohammad Hossein Heydari, A. Atangana, Z. Avazzadeh, "Chebyshev polynomials for the numerical solution of fractal-fractional model of nonlinear Ginzburg-Landau equation", ENGINEERING WITH COMPUTERS, vol. 37, 2021

Mohammad Hossein Heydari, M. Hosseininia, Z. Avazzadeh, "An efficient wavelet-based approximation method for the coupled nonlinear fractal-fractional 2D Schrodinger equations", ENGINEERING WITH COMPUTERS, vol. 37, 2021

M. Hosseininia, Mohammad Hossein Heydari, F.M. Maalek Ghaini, Z. Avazzadeh, "A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 127, 2021

M. Hosseininia, Mohammad Hossein Heydari, Z. Avazzadeh, F.M. Maalek Ghaini, "A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 127, 2021

Mohammad Hossein Heydari, M. Razzaghi, "Piecewise Chebyshev cardinal functions: Application for constrained fractional optimal control problems", CHAOS SOLITONS and FRACTALS, vol. 150, 2021

Mohammad Hossein Heydari, M. Razzaghi, Z. Avazzadeh, "Orthonormal shifted discrete Chebyshev polynomials: Application for a fractal-fractional version of the coupled Schrodinger-Boussinesq system", CHAOS SOLITONS and FRACTALS, vol. 143, 2021

Mohammad Hossein Heydari, M. Razzaghi, "A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative", CHAOS SOLITONS and FRACTALS, vol. 152, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, A. Atangana, "Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations", APPLIED NUMERICAL MATHEMATICS, vol. 161, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, M. Razzaghi, "Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations", APPLIED NUMERICAL MATHEMATICS, vol. 165, 2021

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Sultan Noman Qasem, Amirhosein Mosavi, Shahab S. Band, "Principal component analysis to study the relations between the spread rates of COVID-19 in high risks countries", AEJ - Alexandria Engineering Journal, vol. 60, 2021

Mohammad Hossein Heydari, Z. Avazzadeh, A. Atangana, "Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel", Advances in Difference Equations, vol. 2021, 2021

Mohammad Hossein Heydari, A. Atangana, "An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation", Advances in Difference Equations, vol. 2021, 2021

R. Roohi, Mohammad Hossein Heydari, Omid Bavi, H. Emdad, "Chebyshev polynomials for generalized Couette flow of fractional Jeffrey nanofluid subjected to several thermochemical effects", ENGINEERING WITH COMPUTERS, vol. 37, 2021

M. Hosseininia, Mohammad Hossein Heydari, Seyed Jafar Rouzegar, C. Cattani, "A meshless method to solve nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler kernel", ENGINEERING WITH COMPUTERS, vol. 37, 2021

Ali Habibi Rad, Esmail Hesameddini, Mohammad Hossein Heydari, Reza Roohi, "An efficient meshless method based on the moving Kriging interpolation for two-dimensional variable-order time fractional mobile/immobile advection-diffusion model", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 44, 2021

Mohammad Hossein Heydari, Zakieh Avazzadeh, Yin Yang, Carlo Cattani, "A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 39, 2020

Y. Yang, Mohammad Hossein Heydari, Z. Avazzadeh, A. Atangana, "Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations", Advances in Difference Equations, vol. 2020, 2020

B. Kh. Mousavi, Mohammad Hossein Heydari, "Wilson wavelets method for solving nonlinear fractional Fredholm-Hammerstein integro-differential equations", INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 97, 2020

Mohammad Hossein Heydari, Mohammad Reza Hooshmandasl, Carlo Cattani, "Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations", Georgian Mathematical Journal, vol. 27, 2020

Mohammad Hossein Heydari, Z. Avazzadeh, C. Cattani, "Taylor's series expansion method for nonlinear variable-order fractional 2D optimal control problems", AEJ - Alexandria Engineering Journal, vol. 59, 2020

Seyed Jafar Rouzegar, Mahsa Vazirzadeh, Mohammad Hossein Heydari, "A fractional viscoelastic model for vibrational analysis of thin plate excited by supports movement", MECHANICS RESEARCH COMMUNICATIONS, vol. 110, 2020

H. Azin, F. Mohammadi, Mohammad Hossein Heydari, "A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain", Advances in Difference Equations, vol. 2020, 2020

Alireza Shadloo jahromi, Omid Bavi, Mohammad Hossein Heydari, Masoud Kharati-Koopaee, Zakieh Avazzadeh, "Dynamics of respiratory droplets carrying SARS-CoV-2 virus in closed atmosphere", Results in Physics, vol. 19, 2020

Mohammad Hossein Heydari, A. Atangana, Z. Avazzadeh, M. R. Mahmoudi, "An operational matrix method for nonlinear variable-order time fractional reaction-diffusion equation involving Mittag-Leffler kernel", European Physical Journal Plus, vol. 135, 2020

Mohammad Hossein Heydari, Mohammad Reza Mahmoudi, Zakieh Avazzadeh, Dumitru Baleanu, "Chebyshev cardinal functions for a new class of nonlinear optimal control problems with dynamical systems of weakly singular variable-order fractional integral equations", JOURNAL OF VIBRATION AND CONTROL, vol. 26, 2020

D. Gharian, F. M. Maalek Ghaini, Mohammad Hossein Heydari, Z. Avazzadeh, "A Meshless Solution for the Variable-Order Time Fractional Nonlinear Klein-Gordon Equation", International Journal of Applied and Computational Mathematics, vol. 6, 2020

Mohammad Hossein Heydari, Z. AVAZZADEH, Y. YANG, "NUMERICAL TREATMENT OF THE SPACE-TIME FRACTAL-FRACTIONAL MODEL OF NONLINEAR ADVECTION-DIFFUSION-REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS", FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, vol. 28, 2020

M. HOSSEININIA, Mohammad Hossein Heydari, Z. AVAZZADEH, "THE NUMERICAL TREATMENT OF NONLINEAR FRACTAL-FRACTIONAL 2D EMDEN-FOWLER EQUATION UTILIZING 2D CHELYSHKOV POLYNOMIALS", FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, vol. 28, 2020

Mohammad Hossein Heydari, M. Hosseininia, A. Atangana, Z. Avazzadeh, "A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 120, 2020

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Zakieh Avazzadeh, Kim-Hung Pho, "Goodness of fit test for almost cyclostationary processes", DIGITAL SIGNAL PROCESSING, vol. 96, 2020

Kim-Hung Pho, Mohammad Hossein Heydari, Bui Anh Tuan, Mohammad Reza Mahmoudi, "Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense", CHAOS SOLITONS and FRACTALS, vol. 134, 2020

Mohsen Maleki, Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Kim-Hung Pho, "Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models", CHAOS SOLITONS and FRACTALS, vol. 140, 2020

Mohammad Hossein Heydari, A. Atangana, "An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels", CHAOS SOLITONS and FRACTALS, vol. 132, 2020

Mohammad Hossein Heydari, Zakieh Avazzadeh, "A computational method for solving two-dimensional nonlinear variable-order fractional optimal control problems", ASIAN JOURNAL OF CONTROL, vol. 22, 2020

Mohammad Hossein Heydari, "Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative", APPLIED NUMERICAL MATHEMATICS, vol. 150, 2020

Mohammad Hossein Heydari, "A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations", APPLIED NUMERICAL MATHEMATICS, vol. 153, 2020

Mohammad Hossein Heydari, A. Atangana, Z. Avazzadeh, Y. Yang, "Numerical treatment of the strongly coupled nonlinear fractal-fractional Schrodinger equations through the shifted Chebyshev cardinal functions", AEJ - Alexandria Engineering Journal, vol. 59, 2020

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Kim-Hung Pho, "Fuzzy clustering to classify several regression models with fractional Brownian motion errors", AEJ - Alexandria Engineering Journal, vol. 59, 2020

Zakieh Avazzadeh, Mohammad Hossein Heydari, Mohammad Reza Mahmoudi, "An approximate approach for the generalized variable-order fractional pantograph equation", AEJ - Alexandria Engineering Journal, vol. 59, 2020

Mohammad Hossein Heydari, "Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative", CHAOS SOLITONS and FRACTALS, vol. 130, 2020

Davood Gharian, Farid Mohammad Maalek Ghaini, Mohammad Hossein Heydari, "A meshless method for the variable-order time fractional telegraph equation", Journal of Mathematical Extension, vol. 13, 2019

R. Roohi, Mohammad Hossein Heydari, H. G. Sun, "Numerical study of unsteady natural convection of variable-order fractional Jeffrey nanofluid over an oscillating plate in a porous medium involved with magnetic, chemical and heat absorption effects using Chebyshev cardinal functions", European Physical Journal Plus, vol. 134, 2019

Mohammad Hossein Heydari, "A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems", JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 356, 2019

M. Hosseininia, Mohammad Hossein Heydari, F.M. Maalek Ghaini, Z. Avazzadeh, "A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation", COMPUTERS and MATHEMATICS WITH APPLICATIONS, vol. 78, 2019

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Zakieh Avazzadeh, "Testing the difference between spectral densities of two independent periodically correlated (cyclostationary) time series models", COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol. 48, 2019

M. Hosseininia, Mohammad Hossein Heydari, "Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel", CHAOS SOLITONS and FRACTALS, vol. 127, 2019

M. Hosseininia, Mohammad Hossein Heydari, "Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel", CHAOS SOLITONS and FRACTALS, vol. 127, 2019

Z. Avazzadeh, Mohammad Hossein Heydari, C. Cattani, "Legendre wavelets for fractional partial integro-differential viscoelastic equations with weakly singular kernels", European Physical Journal Plus, vol. 134, 2019

Mohammad Hossein Heydari, "Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations", APPLIED NUMERICAL MATHEMATICS, vol. 144, 2019

Mohammad Hossein Heydari, Z. Avazzadeh, M.R. Mahmoudi, "Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion", CHAOS SOLITONS and FRACTALS, vol. 124, 2019

Ma Zhonglian, Mohammad Hossein Heydari, Avazzadeh Zakieh, Cattani Carlo, "An efficient iterative approach for three-dimensional modified anomalous fractional sub-diffusion equations on a large domain", Advances in Difference Equations, vol. 2019, 2019

Younes Shekari, Ali Tayebi, Mohammad Hossein Heydari, "A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation", COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 350, 2019

M. Hosseininia, Mohammad Hossein Heydari, R. Roohi, Z. Avazzadeh, "A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation", JOURNAL OF COMPUTATIONAL PHYSICS, vol. 395, 2019

Mohammad Hossein Heydari, A. Atangana, "A cardinal approach for nonlinear variable-order time fractional Schrodinger equation defined by Atangana-Baleanu-Caputo derivative", CHAOS SOLITONS and FRACTALS, vol. 128, 2019

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Reza Roohi, "A new method to compare the spectral densities of two independent periodically correlated time series", MATHEMATICS AND COMPUTERS IN SIMULATION, vol. 160, 2019

Fatemeh Soltani Sarvestani, Mohammad Hossein Heydari, Asadollah Niknam, Zakieh Avazzadeh, "A wavelet approach for the multi-term time fractional diffusion-wave equation", INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol. 96, 2019

Mohammad Hossein Heydari, Zakieh Avazzadeh, Yin Yang, "A computational method for solving variable-order fractional nonlinear diffusion-wave equation", APPLIED MATHEMATICS AND COMPUTATION, vol. 352, 2019

Mohammad Hossein Heydari, Zakieh Avazzadeh, Malihe Farzi haromi, "A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation", APPLIED MATHEMATICS AND COMPUTATION, vol. 341, 2019

Mohammad Hossein Heydari, Mohammad Reza Hooshmandasl, Carlo Cattani, "A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional Van der Pol oscillator equation", PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol. 128, 2018

Mohammad Hossein Heydari, "A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems", JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 355, 2018

Mohammad Hossein Heydari, Zakieh Avazzadeh, "Legendre wavelets optimization method for variable-order fractional Poisson equation", CHAOS SOLITONS and FRACTALS, vol. 112, 2018

Mohammad Reza Mahmoudi, Mohammad Hossein Heydari, Zakieh Avazzadeh, "On the asymptotic distribution for the periodograms of almost periodically correlated (cyclostationary) processes", DIGITAL SIGNAL PROCESSING, vol. 81, 2018

Reza Roohi, Mohammad Hossein Heydari, Mojtaba Aslami, Mohammad Reza Mahmoudi, "A comprehensive numerical study of space-time fractional bioheat equation using fractional-order Legendre functions", European Physical Journal Plus, vol. 133, 2018

Mohammad Hossein Heydari, M.R. Mahmoudi, A. Shakiba, Z. Avazzadeh, "Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion", Communications in Nonlinear Science and Numerical Simulation, vol. 64, 2018

Mohammad Hossein Heydari, Zakieh Avazzadeh, "A new Wavelet Method for Variable-Order Fractional Optimal Control Problems", ASIAN JOURNAL OF CONTROL, vol. 20, 2018

Mohammad Hossein Heydari, Avazzadeh Z., "An operational matrix method for solving variable-order fractional biharmonic equation", COMPUTATIONAL and APPLIED MATHEMATICS, vol. 37, 2018

Bibi Khadijeh Mousavia, Ataollah Askari Hemmatb, Mohammad Hossein Heydari, "Wilson wavelets for solving nonlinear stochastic integral equations", Wavelets and Linear Algebra, vol. 4, 2017

Mohammad Hossein Heydari, M.R. Hooshmandasl, F.M. Maalek Ghaini, C. Cattani, "Wavelets method for the time fractional diffusion-wave equation", PHYSICS LETTERS A, vol. 379, 2015

Mohammad Hossein Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini, "An efficient computational method for solving fractional biharmonic equation", COMPUTERS and MATHEMATICS WITH APPLICATIONS, vol. 68, 2014

Mohammad Hossein Heydari, M.R. Hooshmandasl, F. Mohammadi, C. Cattani, "Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations", Communications in Nonlinear Science and Numerical Simulation, vol. 19, 2014

Mohammad Hossein Heydari, M.R. Hooshmandasl, F. Mohammadi, "Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions", APPLIED MATHEMATICS AND COMPUTATION, vol. 234, 2014

Mohammad Hossein Heydari, M.R. Hooshmandasl, F.M. Maalek Ghaini, "A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type", APPLIED MATHEMATICAL MODELLING, vol. 38, 2014

Mohammad Hossein Heydari, M.R. Hooshmandasl, F.M. Maalek Ghaini, F. Fereidouni, "Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions", ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, vol. 37, 2013