Browsing Fen - Edebiyat Fakültesi by Author "Heydari, M. H."

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A Computational Approach Based On The Fractional Euler Functions And Chebyshev Cardinal Functions For Distributed-Order Time Fractional 2D Diffusion Equation

Heydari, M. H.; Hosseininia, M.; Baleanu, D. (Alexandrıa Engineering Journal, 2023-03-15)

In this paper, the distributed-order time fractional diffusion equation is introduced and studied. The Caputo fractional derivative is utilized to define this distributed-order fractional derivative. A hybrid approach based ...
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrodinger equation

Heydari, M. H.; Razzaghi, M.; Baleanu, D. (Communications In Nonlinear Science And Numerical Simulation, 2023-01)

In this work, the distributed-order time fractional version of the Schrodinger problem is defined by replacing the first order derivative in the classical problem with this kind of fractional derivative. The Caputo fractional ...
A numerical method for distributed-order time fractional 2D Sobolev equation

Heydari, M. H.; Rashid, S.; Jarad, F. (2023-02)

In this work, the distributed-order time fractional 2D Sobolev equation is introduced. The orthonormal Bernoulli polynomials, as a renowned family of basis functions, are employed to solve this problem. To effectively use ...

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