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

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,(2024-55)

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,(2024-165)

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,(2024-104)

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,(2024-106)

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

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,(2024-26)

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,(2024-185)

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,(2024-130)

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,(2024-135)

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,(2024-163)

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

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,(2024-14)

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

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,(2024-99)

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,(2024-23)

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,(2024-23)

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,(2024-24)

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,(2024-22)

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,(2024-47)

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,(2024-10)

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,(2024-14)

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,(2024-47)

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,(2024-67)

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,(2023-17)

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,(2023-29)

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

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,(2023-116)

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,(2023-42)

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

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,(2023-67)

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

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

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,(2023-150)

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,(2023-427)

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,(2023-150)

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,(2023-170)

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,(2023-46)

Mohammad Hossein Heydari, M. Hosseininia, D. Baleanu: An efficient method for 3D Helmholtz equation with complex solution: AIMS Mathematics,(2023-8)

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

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,(2023-171)

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,(2023-42)

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

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,(2023-152)

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

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,(2023-54)

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,(2023-49)

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,(2023-13)

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,(2023-46)

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

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

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

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

Mohammad Hossein Heydari, Shabnam Zhagharian: A hybrid approach for piecewise fractional reaction-diffusion equations: Results in Physics,(2023-51)

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

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

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,(2023-53)

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,(2023-46)

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,(2022-38)

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,(2022-61)

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,(2022-155)

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

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,(2022-402)

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

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,(2022-38)

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

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,(2022-38)

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,(2022-38)

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,(2022-24)

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

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,(2022-38)

Mohammad Hossein Heydari, Omid Bavi: An efficient wavelet method for nonlinear problems arising in heat transfer: ENGINEERING WITH COMPUTERS,(2022-38)

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,(2022-38)

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

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

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

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,(2022-138)

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,(2022-45)

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

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

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,(2022-162)

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,(2022-125)

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,(2022-142)

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,(2022-53)

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,(2022-2022)

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,(2021-44)

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,(2021-37)

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,(2021-37)

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,(2021-2021)

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,(2021-2021)

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,(2021-60)

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

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,(2021-161)

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

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,(2021-143)

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

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,(2021-127)

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,(2021-127)

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,(2021-37)

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,(2021-37)

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,(2021-37)

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,(2021-37)

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,(2021-14)

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,(2021-44)

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,(2021-44)

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,(2021-44)

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,(2021-44)

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,(2021-44)

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,(2021-96)

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

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,(2021-44)

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

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,(2021-44)

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,(2021-15)

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

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,(2020-130)

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

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,(2020-59)

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,(2020-59)

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

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

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

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,(2020-132)

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,(2020-140)

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,(2020-134)

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

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,(2020-120)

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,(2020-28)

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,(2020-28)

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,(2020-6)

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,(2020-26)

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,(2020-135)

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,(2020-19)

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,(2020-2020)

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,(2020-110)

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,(2020-59)

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

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

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,(2020-2020)

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,(2020-39)

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,(2019-341)

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

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,(2019-96)

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,(2019-160)

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,(2019-128)

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,(2019-395)

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,(2019-350)

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,(2019-2019)

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,(2019-124)

Mohammad Hossein Heydari: Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations: APPLIED NUMERICAL MATHEMATICS,(2019-144)

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

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,(2019-127)

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,(2019-127)

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,(2019-48)

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,(2019-78)

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,(2019-356)

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,(2019-134)

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

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

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

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,(2018-64)

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,(2018-133)

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

Mohammad Hossein Heydari, Zakieh Avazzadeh: Legendre wavelets optimization method for variable-order fractional Poisson equation: CHAOS SOLITONS and FRACTALS,(2018-112)

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,(2018-355)

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,(2018-128)

Bibi Khadijeh Mousavia, Ataollah Askari Hemmatb, Mohammad Hossein Heydari: Wilson wavelets for solving nonlinear stochastic integral equations: Wavelets and Linear Algebra,(2017-4)

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

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,(2014-38)

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,(2014-234)

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,(2014-19)

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

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,(2013-37)