Works by Ordokhani, Yadollah

Results: 51

A hybrid numerical method with high accuracy to solve a time-space diffusion model in terms of the Caputo and Riesz fractional derivatives.

Published in:

Journal of Supercomputing, 2025, v. 81, n. 7, p. 1, doi. 10.1007/s11227-025-07287-7

By:

Derakhshan, Mohammad Hossein;
Ordokhani, Yadollah;
Kumar, Pushpendra;
Gómez-Aguilar, J. F.

Publication type:

Article

A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials.

Published in:

Journal of Computational Mathematics & Computer Modeling with Applications, 2022, v. 1, n. 2, p. 65, doi. 10.52547/CMCMA.1.2.65

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah

Publication type:

Article

Application of Chelyshkov wavelets and least squares support vector regression to solve fractional differential equations arising in optics and engineering.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 2, p. 1996, doi. 10.1002/mma.10420

By:

Ordokhani, Yadollah;
Sabermahani, Sedigheh;
Rahimkhani, Parisa

Publication type:

Article

Simulating variable‐order fractional Brownian motion and solving nonlinear stochastic differential equations.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 11, p. 8471, doi. 10.1002/mma.10026

By:

Samadyar, Nasrin;
Ordokhani, Yadollah

Publication type:

Article

On the Numerical Solution of Widely Used 2D Stochastic Partial Differential Equation in Representing Reaction-Diffusion Processes.

Published in:

Iranian Journal of Mathematical Chemistry, 2025, v. 16, n. 1, p. 13, doi. 10.22052/IJMC.2024.254381.1830

By:

Samadyar, Nasrin;
Ordokhani, Yadollah

Publication type:

Article

Pell Wavelet Optimization Method for Solving Time-Fractional Convection Diffusion Equations Arising in Science and Medicine.

Published in:

Iranian Journal of Mathematical Chemistry, 2024, v. 15, n. 4, p. 239, doi. 10.22052/IJMC.2024.254524.1843

By:

Ordokhani, Yadollah;
Sabermahani, Sedigheh;
Razzaghi, Mohsen

Publication type:

Article

Fractional-order Bessel functions with various applications.

Published in:

Applications of Mathematics, 2019, v. 64, n. 6, p. 637, doi. 10.21136/AM.2019.0279-18

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

Boubaker Hybrid Functions and their Application to Solve Fractional Optimal Control and Fractional Variational Problems.

Published in:

Applications of Mathematics, 2018, v. 63, n. 5, p. 541, doi. 10.21136/AM.2018.0083-18

By:

Rabiei, Kobra;
Ordokhani, Yadollah

Publication type:

Article

Bernoulli wavelet least squares support vector regression: Robust numerical method for systems of fractional differential equations.

Published in:

Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 17, p. 17641, doi. 10.1002/mma.9522

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Sabermahani, Sedigheh

Publication type:

Article

Hahn hybrid functions for solving distributed order fractional Black–Scholes European option pricing problem arising in financial market.

Published in:

Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 6, p. 6558, doi. 10.1002/mma.8924

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Sabermahani, Sedigheh

Publication type:

Article

Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations.

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 18, p. 14256, doi. 10.1002/mma.7694

By:

Dehestani, Haniye;
Ordokhani, Yadollah

Publication type:

Article

Application of the modified operational matrices in multiterm variable‐order time‐fractional partial differential equations.

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 18, p. 7296, doi. 10.1002/mma.5840

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels.

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 13, p. 4427, doi. 10.1002/mma.5663

By:

Keshavarz, Elham;
Ordokhani, Yadollah

Publication type:

Article

Synchronization and control of fractional laser chaotic systems defined based on the regularized Prabhakar derivative with incommensurate parameters: Synchronization and control of fractional laser: S. Eshaghi et al.

Published in:

Nonlinear Dynamics, 2025, v. 113, n. 6, p. 5643, doi. 10.1007/s11071-024-10455-8

By:

Eshaghi, Shiva;
Ordokhani, Yadollah;
Bayram, Mustafa;
Inc, Mustafa

Publication type:

Article

The Boubaker polynomials and their application to solve fractional optimal control problems.

Published in:

Nonlinear Dynamics, 2017, v. 88, n. 2, p. 1013, doi. 10.1007/s11071-016-3291-2

By:

Rabiei, Kobra;
Ordokhani, Yadollah;
Babolian, Esmaeil

Publication type:

Article

Fractional-Order Legendre Functions and Their Application to Solve Fractional Optimal Control of Systems Described by Integro-differential Equations.

Published in:

Acta Applicandae Mathematicae, 2018, v. 158, n. 1, p. 87, doi. 10.1007/s10440-018-0175-0

By:

Rabiei, Kobra;
Ordokhani, Yadollah;
Babolian, Esmaeil

Publication type:

Article

An accurate wavelets‐collocation technique for neutral delay distributed‐order fractional optimal control problems.

Published in:

Optimal Control - Applications & Methods, 2025, v. 46, n. 1, p. 94, doi. 10.1002/oca.3201

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Sabermahani, Sedigheh

Publication type:

Article

The numerical treatment of fractal‐fractional 2D optimal control problems by Müntz–Legendre polynomials.

Published in:

Optimal Control - Applications & Methods, 2023, v. 44, n. 6, p. 3033, doi. 10.1002/oca.3024

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Sedaghat, Salameh

Publication type:

Article

A numerical study on fractional optimal control problems described by Caputo‐Fabrizio fractional integro‐differential equation.

Published in:

Optimal Control - Applications & Methods, 2023, v. 44, n. 4, p. 1873, doi. 10.1002/oca.2957

By:

Dehestani, Haniye;
Ordokhani, Yadollah

Publication type:

Article

Fibonacci wavelets and their applications for solving two classes of time‐varying delay problems.

Published in:

Optimal Control - Applications & Methods, 2020, v. 41, n. 2, p. 395, doi. 10.1002/oca.2549

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah;
Yousefi, Sohrab‐Ali

Publication type:

Article

Numerical solution a class of 2D fractional optimal control problems by using 2D Müntz‐Legendre wavelets.

Published in:

Optimal Control - Applications & Methods, 2018, v. 39, n. 6, p. 1916, doi. 10.1002/oca.2456

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Application of general Lagrange scaling functions for evaluating the approximate solution time-fractional diffusion-wave equations.

Published in:

Computational Methods for Differential Equations, 2025, v. 13, n. 2, p. 450, doi. 10.22034/cmde.2024.59007.2503

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah;
Agarwal, Praveen

Publication type:

Article

Designing an efficient algorithm for fractional partial integro-differential viscoelastic equations with weakly singular kernel.

Published in:

Computational Methods for Differential Equations, 2025, v. 13, n. 1, p. 214, doi. 10.22034/cmde.2024.57935.2436

By:

Dehestani, Haniye;
Ordokhani, Yadollah

Publication type:

Article

An optimum solution for multi-dimensional distributed-order fractional differential equations.

Published in:

Computational Methods for Differential Equations, 2023, v. 11, n. 3, p. 548, doi. 10.22034/cmde.2022.54288.2269

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah

Publication type:

Article

Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions.

Published in:

Computational Methods for Differential Equations, 2021, v. 9, n. 3, p. 799, doi. 10.22034/cmde.2020.36904.1642

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

A new operational matrix of Müntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integrodifferential equations.

Published in:

Computational Methods for Differential Equations, 2020, v. 8, n. 3, p. 408, doi. 10.22034/cmde.2020.32623.1515

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah

Publication type:

Article

Numerical solution of fractal‐fractional differential equations system via Vieta‐Fibonacci polynomials fractal‐fractional integral operators.

Published in:

International Journal of Numerical Modelling, 2024, v. 37, n. 5, p. 1, doi. 10.1002/jnm.3283

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Sabermahani, Sedigheh

Publication type:

Article

Hybrid functions for numerical solution of fractional Fredholm‐Volterra functional integro‐differential equations with proportional delays.

Published in:

International Journal of Numerical Modelling, 2019, v. 32, n. 5, p. N.PAG, doi. 10.1002/jnm.2606

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations.

Published in:

Computational & Applied Mathematics, 2023, v. 42, n. 2, p. 1, doi. 10.1007/s40314-023-02220-1

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Touchard wavelet technique for solving time-fractional Black–Scholes model.

Published in:

Computational & Applied Mathematics, 2022, v. 41, n. 4, p. 1, doi. 10.1007/s40314-022-01853-y

By:

Nourian, Farshid;
Lakestani, Mehrdad;
Sabermahani, Sedigheh;
Ordokhani, Yadollah

Publication type:

Article

General Lagrange scaling functions: application in general model of variable order fractional partial differential equations.

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 8, p. 1, doi. 10.1007/s40314-021-01667-4

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah;
Hassani, Hossein

Publication type:

Article

Orthonormal Bernoulli wavelets neural network method and its application in astrophysics.

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 3, p. 1, doi. 10.1007/s40314-021-01475-w

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations.

Published in:

Computational & Applied Mathematics, 2020, v. 39, n. 4, p. N.PAG, doi. 10.1007/s40314-020-01314-4

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

The bivariate Müntz wavelets composite collocation method for solving space-time-fractional partial differential equations.

Published in:

Computational & Applied Mathematics, 2020, v. 39, n. 2, p. 1, doi. 10.1007/s40314-020-01141-7

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Two-dimensional Müntz–Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations.

Published in:

Computational & Applied Mathematics, 2020, v. 39, n. 2, p. 1, doi. 10.1007/s40314-020-1137-5

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah;
Yousefi, Sohrab-Ali

Publication type:

Article

A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations.

Published in:

Numerical Linear Algebra with Applications, 2021, v. 28, n. 2, p. 1, doi. 10.1002/nla.2346

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

On the applicability of Genocchi wavelet method for different kinds of fractional‐order differential equations with delay.

Published in:

Numerical Linear Algebra with Applications, 2019, v. 26, n. 5, p. N.PAG, doi. 10.1002/nla.2259

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

Modification of numerical algorithm for space-time fractional partial differential equations including two types of fractional derivatives.

Published in:

International Journal of Computer Mathematics, 2022, v. 99, n. 11, p. 2308, doi. 10.1080/00207160.2022.2056411

By:

Dehestani, Haniye;
Ordokhani, Yadollah

Publication type:

Article

A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations.

Published in:

International Journal of Computer Mathematics, 2021, v. 98, n. 10, p. 2078, doi. 10.1080/00207160.2021.1875131

By:

Dehestani, Haniye;
Ordokhani, Yadollah

Publication type:

Article

A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations.

Published in:

Journal of Mathematical Modeling (JMM), 2021, v. 9, n. 3, p. 501, doi. 10.22124/jmm.2021.18634.1596

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets.

Published in:

Journal of Mathematical Modeling (JMM), 2020, v. 8, n. 4, p. 435, doi. 10.22124/jmm.2020.16806.1459

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

An improved numerical technique for distributed‐order time‐fractional diffusion equations.

Published in:

Numerical Methods for Partial Differential Equations, 2021, v. 37, n. 3, p. 2490, doi. 10.1002/num.22731

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions.

Published in:

Numerical Methods for Partial Differential Equations, 2019, v. 35, n. 1, p. 34, doi. 10.1002/num.22279

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems.

Published in:

IMA Journal of Mathematical Control & Information, 2019, v. 36, n. 1, p. 185, doi. 10.1093/imamci/dnx041

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah

Publication type:

Article

Numerical solution for a class of fractional optimal control problems using the fractional-order Bernoulli functions.

Published in:

Transactions of the Institute of Measurement & Control, 2022, v. 44, n. 8, p. 1635, doi. 10.1177/01423312211047033

By:

Valian, Forugh;
Ordokhani, Yadollah;
Vali, Mohammad Ali

Publication type:

Article

A new operational matrix based on Boubaker wavelet for solving optimal control problems of arbitrary order.

Published in:

Transactions of the Institute of Measurement & Control, 2020, v. 42, n. 10, p. 1858, doi. 10.1177/0142331219898343

By:

Rabiei, Kobra;
Ordokhani, Yadollah

Publication type:

Article

Fractional-order Lagrange polynomials: An application for solving delay fractional optimal control problems.

Published in:

Transactions of the Institute of Measurement & Control, 2019, v. 41, n. 11, p. 2997, doi. 10.1177/0142331218819048

By:

Sabermahani, Sedigheh;
Ordokhani, Yadollah;
Yousefi, Sohrab-Ali

Publication type:

Article

A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations.

Published in:

Iranian Journal of Mathematical Sciences & Informatics, 2018, v. 13, n. 2, p. 111, doi. 10.7508/ijmsi.2018.13.010

By:

Rahimkhani, Parisa;
Ordokhani, Yadollah;
Babolian, Esmail

Publication type:

Article

An Accurate Numerical Scheme for Three-Dimensional Variable-Order Time-Fractional Partial Differential Equations in Two Types of Space Domains.

Published in:

Mathematical Modelling & Analysis, 2024, v. 29, n. 3, p. 406, doi. 10.3846/mma.2024.18535

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article

A Spectral Approach for Time-Fractional Diffusion and Subdiffusion Equations in a Large Interval.

Published in:

Mathematical Modelling & Analysis, 2022, v. 27, n. 1, p. 19, doi. 10.3846/mma.2022.13579

By:

Dehestani, Haniye;
Ordokhani, Yadollah;
Razzaghi, Mohsen

Publication type:

Article