Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Subramanian Muthaiah"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16203-16233 (2024)
This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Had
Externí odkaz:
https://doaj.org/article/0b1e2a573acd434ead9dacb19ef4cb7b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9926-9950 (2024)
We investigate the criteria for both the existence and uniqueness of solutions within a nonlinear coupled system of Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This system is complemented by nonlocal coupled
Externí odkaz:
https://doaj.org/article/58d4c07d60d444ccb49fd2d4f7cd4cac
Publikováno v:
Journal of Mathematics, Vol 2024 (2024)
We investigate the conditions for the existence and uniqueness of solutions in a nonlinear system of sequential fractional differential equations using the Liouville–Caputo type with varying orders. This system is enriched by nonlocal coupled integ
Externí odkaz:
https://doaj.org/article/bdb0d245c076448fa0456e1deb12168e
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-29 (2023)
Abstract In this paper, we introduce a new coupled system of sequential fractional differential equations with coupled boundary conditions. We establish existence and uniqueness results using the Leray–Schauder alternative and Banach contraction pr
Externí odkaz:
https://doaj.org/article/6c1abb1f319342d999371886f6c0151d
Publikováno v:
Fractal and Fractional, Vol 7, Iss 11, p 800 (2023)
The present investigation aims to establish the existence and uniqueness of solutions for a system containing sequential fractional differential equations. Furthermore, boundary conditions that include the Riemann–Liouville fractional integral are
Externí odkaz:
https://doaj.org/article/4495b1070f534445a8a9144fea101930
Publikováno v:
AIMS Mathematics, Vol 7, Iss 1, Pp 723-755 (2022)
In this article, we investigate new results of existence and uniqueness for systems of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order and along with new kinds of coupled discre
Externí odkaz:
https://doaj.org/article/1a5acf94d42c4135b481abe5ec887b05
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 168-194 (2021)
This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of the coupled system of nonlinear fractional differential equations (FDEs) with multipoint and nonlocal integral boundary conditions. The fractional derivative of the Cap
Externí odkaz:
https://doaj.org/article/13e369cec44d4b7ab8f61170d560d0b1
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13004-13023 (2021)
This paper proposes the existence and uniqueness of a solution for a coupled system that has fractional differential equations through Erdélyi-Kober and Riemann-Liouville fractional integral boundary conditions. The existence of the solution for the
Externí odkaz:
https://doaj.org/article/10d19d2cf0eb4756b09e54d585ac9d80
Publikováno v:
Advances in the Theory of Nonlinear Analysis and its Applications, Vol 3, Iss 3, Pp 162-173 (2019)
We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with nonlocal integral boundary conditions, by using the Leray-Schauder nonlinear alternative, Leray Schauder degree theorem, Krasnoselskiis fix
Externí odkaz:
https://doaj.org/article/2c15ad34a3434c51ac5f3c97f995329d
Autor:
Subramanian Muthaiah, Dumitru Baleanu
Publikováno v:
Axioms, Vol 9, Iss 2, p 44 (2020)
This article deals with the solutions of the existence and uniqueness for a new class of boundary value problems (BVPs) involving nonlinear fractional differential equations (FDEs), inclusions, and boundary conditions involving the generalized fracti
Externí odkaz:
https://doaj.org/article/fa5d3a5a47e24ed19a1b392f02b5361d