Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Murugesan Manigandan"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22547-22564 (2024)
This study investigates singularly perturbed differential equations through advanced convection-diffusion techniques. We employ a finite difference approach utilizing a piecewise uniform Shishkin-type mesh to tackle this problem. Our analysis demonst
Externí odkaz:
https://doaj.org/article/8177f540eae749cc8a5eabf8c816aea0
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15505-15542 (2024)
Many scholars have lately explored fractional-order boundary value issues with a variety of conditions, including classical, nonlocal, multipoint, periodic/anti-periodic, fractional-order, and integral boundary conditions. In this manuscript, the exi
Externí odkaz:
https://doaj.org/article/f5ebc4c15fca4c568ddf29c2ca5989d5
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 457 (2024)
This paper delves into a novel category of nonlocal boundary value problems concerning nonlinear sequential fractional differential equations, coupled with a unique form of generalized Riemann–Liouville fractional differential integral boundary con
Externí odkaz:
https://doaj.org/article/02c614646cd645c39dadccc249240cb3
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 441 (2024)
In this study, we explore the existence and uniqueness of solutions for a boundary value problem defined by coupled sequential fractional differential inclusions. This investigation is augmented by the introduction of a novel set of generalized Riema
Externí odkaz:
https://doaj.org/article/333d432bc9fc4ab488400e22ad141173
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 3969-3996 (2023)
In this paper, we study the existence of the solutions for a tripled system of Caputo sequential fractional differential equations. The main results are established with the aid of Mönch's fixed point theorem. The stability of the tripled system is
Externí odkaz:
https://doaj.org/article/8f67351fc91546f292a828e072bcce6a
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 2591-2610 (2023)
In this article, the existence of a solution to a system of fractional equations of sequential type was investigated via Mönch's fixed point theorem. In addition, the stability of this solutions was verified by the Ulam-Hyers method. Finally, an app
Externí odkaz:
https://doaj.org/article/3ad6f7fe41674220991bedbc7b2271dc
Autor:
Muath Awadalla, Kinda Abuasbeh, Murugesan Manigandan, Ahmed A. Al Ghafli, Hassan J. Al Salman
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdo
Externí odkaz:
https://doaj.org/article/93953d82f5d7412f988a5ba3bf6e0fc7
Autor:
Meraa Arab, Muath Awadalla, Murugesan Manigandan, Kinda Abuasbeh, Nazim I. Mahmudov, Thangaraj Nandha Gopal
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 229 (2023)
In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point t
Externí odkaz:
https://doaj.org/article/59cc3dfa4f3a487ca0d129ec71e8d4fd
Autor:
Muath Awadalla, Murugesan Manigandan
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 182 (2023)
In this study, based on Coitz and Nadler’s fixed point theorem and the non-linear alternative for Kakutani maps, existence results for a tripled system of sequential fractional differential inclusions (SFDIs) with integral and multi-point boundary
Externí odkaz:
https://doaj.org/article/09653ad8b7894a58a964c132dafcc624
Publikováno v:
Journal of Function Spaces, Vol 2022 (2022)
In this article, the primary focus of our study is to investigate the existence, uniqueness, and Ulam-Hyers stability results for coupled fractional differential equations of the Caputo-Hadamard type that are supplemented with Hadamard integral bound
Externí odkaz:
https://doaj.org/article/04f136472f0e4366a9bc718b0d24f902