Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Hassan Eltayeb Gadain"'
Autor:
Hassan Eltayeb Gadain, Said Mesloub
Publikováno v:
Axioms, Vol 13, Iss 11, p 780 (2024)
In this study, the solution of the (2+1)- and (3+1)-dimensional system of the time-fractional Navier–Stokes equations is gained by utilizing the triple-generalized Laplace transform decomposition method (TGLTDM) and quadruple-generalized Laplace tr
Externí odkaz:
https://doaj.org/article/ef9ac6578a16444bb2514c317c8f3f27
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1232 (2024)
In the present article, the method which was obtained from a combination of the conformable fractional double Laplace transform method (CFDLTM) and the homotopy perturbation method (HPM) was successfully applied to solve linear and nonlinear conforma
Externí odkaz:
https://doaj.org/article/6780231a34d5429492f00175de418a1a
Publikováno v:
Axioms, Vol 13, Iss 9, p 646 (2024)
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions. By empl
Externí odkaz:
https://doaj.org/article/03faf3b74a604ab795deb3e015113eca
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 526 (2024)
In this article, we focus on examining the existence, uniqueness, and continuous dependence of solutions on initial data for a specific initial boundary value problem which mainly arises from one-dimensional quasi-static contact problems in nonlinear
Externí odkaz:
https://doaj.org/article/b78d9f3895b441888bc38e07d034b8d4
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1055 (2024)
The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system o
Externí odkaz:
https://doaj.org/article/e140f2788ada4b8b805f1381f1f4d2a3
Autor:
Said Mesloub, Hassan Eltayeb Gadain
Publikováno v:
Axioms, Vol 13, Iss 6, p 398 (2024)
In this study, we employed the homotopy analysis transform method (HATM) to derive an iterative scheme to numerically solve a singular second-order hyperbolic pseudo-differential equation. We evaluated the effectiveness of the derived scheme in solvi
Externí odkaz:
https://doaj.org/article/f272095291b34ca8bec679079949c776
Publikováno v:
Fractal and Fractional, Vol 8, Iss 4, p 189 (2024)
This paper deals with a singular two dimensional initial boundary value problem for a Caputo time fractional parabolic equation supplemented by Neumann and non-local boundary conditions. The well posedness of the posed problem is demonstrated in a fr
Externí odkaz:
https://doaj.org/article/968526d2c53b49d2914ed157a1659934
Publikováno v:
Axioms, Vol 12, Iss 10, p 933 (2023)
In this article, we present a numerical iterative scheme for solving a non-local singular initial-boundary value problem by combining two well known efficient methods. Namely, the homotopy analysis method and the double Laplace transform method. The
Externí odkaz:
https://doaj.org/article/891a39d314e44632ae39ff07e06b212c
Autor:
Said Mesloub, Hassan Eltayeb Gadain
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Abstract A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional and integer order differential equations in bounded domains. We present herein a collection of
Externí odkaz:
https://doaj.org/article/0100c53d4ecf43348c1e732f849c28dc
Autor:
Hassan Eltayeb Gadain, Imed Bachar
Publikováno v:
Advances in Mechanical Engineering, Vol 9 (2017)
In this article, the double Laplace transform and Adomian decomposition method are used to solve the nonlinear singular one-dimensional parabolic equation. In addition, we studied the convergence analysis of our problem. Using two examples, our propo
Externí odkaz:
https://doaj.org/article/783ff97c914c48ba840483c952d16abb