Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system

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 Hadamard fractional integrodifferential multipoint bo...

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Bibliographic Details
Published in:AIMS mathematics Vol. 9; no. 6; pp. 16203 - 16233
Main Authors: Muthaiah, Subramanian, Murugesan, Manigandan, Awadalla, Muath, Unyong, Bundit, Egami, Ria H.
Format: Journal Article
Language:English
Published: AIMS Press 01.01.2024
Subjects:
coupled integrodifferential system
derivatives
existence
hadamard integrals
hilfer-hadamard derivatives
multi-points
sequential derivatives
ulam-hyers stability
uniqueness
ISSN:2473-6988, 2473-6988
Online Access:Get full text
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Summary: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 Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixed-point theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024784