Zobrazeno 1 - 10
of 258
pro vyhledávání: '"M.H. Heydari"'
Autor:
M.H. Heydari, M. Razzaghi
Publikováno v:
Alexandria Engineering Journal, Vol 107, Iss , Pp 73-86 (2024)
In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a coupled system of time fractional Klein–Gordon-Schrödinger equations. The classical and shifted Jacobi polynomials are simultaneously applied to make a numeric
Externí odkaz:
https://doaj.org/article/d727073bdae1449f8d2a1e4906b33b12
Autor:
M.H. Heydari, D. Baleanu
Publikováno v:
Alexandria Engineering Journal, Vol 104, Iss , Pp 349-358 (2024)
In this work, the tempered fractional derivative in the Caputo form is considered to define the tempered time fractional coupled Burger’s equations. The Chebyshev polynomials, as a well-known family of polynomial basis functions, are used to establ
Externí odkaz:
https://doaj.org/article/88e616a6b57c408c9d230e06aec76bf2
Autor:
M.H. Heydari, M. Razzaghi
Publikováno v:
Results in Applied Mathematics, Vol 23, Iss , Pp 100481- (2024)
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D
Externí odkaz:
https://doaj.org/article/2a5d5f83c25843308df017e32d69c22b
Autor:
M.H. Heydari, M. Razzaghi
Publikováno v:
Results in Applied Mathematics, Vol 23, Iss , Pp 100466- (2024)
In this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing f
Externí odkaz:
https://doaj.org/article/7d52df754e7144d5982fe43ed0a83254
A hybrid-based numerical method for a class of systems of mixed Volterra–Fredholm integral equations
Publikováno v:
Results in Applied Mathematics, Vol 22, Iss , Pp 100458- (2024)
This study introduces a hybrid procedure based on a block-by-block scheme (created by the Gauss–Lobatto integration formula) and a set of the hybrid functions (defined by the Legendre polynomials and block-pulse functions) to solve a class of syste
Externí odkaz:
https://doaj.org/article/967f33cc0d9a45ffa91c5de6596d7e5a
Publikováno v:
Results in Physics, Vol 55, Iss , Pp 107161- (2023)
In this study, multi-term time fractional 2D telegraph type equations, as a new category of fractional differential equations, are introduced. The orthonormal Chelyshkov polynomials are used as basis functions to generate a collocation method for suc
Externí odkaz:
https://doaj.org/article/3823a59cefad4ec0b082b70923a769eb
Autor:
M.H. Heydari, Sh. Zhagharian
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100554- (2023)
In this research, a kind of non-singular variable-order fractional derivative is utilized to define two types of variable-order fractional Fornberg–Whitham equations. The shifted Genocchi polynomials are employed to construct two operational matrix
Externí odkaz:
https://doaj.org/article/d716b8389beb471ea4c5a13d365ed412
Publikováno v:
Results in Physics, Vol 53, Iss , Pp 106937- (2023)
In this paper, the one- and two-dimensional multi-order time fractional telegraph equations are introduced. Two collocation methods based on the one- and two-dimensional Romanovski–Jacobi polynomials are proposed to solve them. In this way, some op
Externí odkaz:
https://doaj.org/article/d9194341bee74fbca546e1c1fe7c8880
Publikováno v:
Alexandria Engineering Journal, Vol 67, Iss , Pp 643-653 (2023)
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 on the fractional Euler fu
Externí odkaz:
https://doaj.org/article/ae57d14885b14817aa066b5dcca24bfd
Autor:
M.H. Heydari, Sh. Zhagharian
Publikováno v:
Results in Physics, Vol 51, Iss , Pp 106651- (2023)
In this paper, the Caputo and Atangana–Baleanu fractional derivatives are handled to introduce a type of piecewise fractional derivative. More precisely, a linear combination of the Caputo and Atangana–Baleanu fractional derivatives are considere
Externí odkaz:
https://doaj.org/article/33f0cc773683451d95104c70d4c833ef