Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense

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 Hadamard fractional integral boundary conditions....

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Bibliographic Details
Published in:AIMS mathematics Vol. 9; no. 4; pp. 9926 - 9950
Main Authors: Awadalla, Muath, Murugesan, Manigandan, Muthaiah, Subramanian, Unyong, Bundit, Egami, Ria H
Format: Journal Article
Language:English
Published: AIMS Press 01.01.2024
Subjects:
existence
fixed point
hadamard integrals
hilfer-hadamard derivatives
sequential derivatives
uniqueness
ISSN:2473-6988, 2473-6988
Online Access:Get full text
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Summary: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 Hadamard fractional integral boundary conditions. The desired outcomes are attained through the application of well-established fixed-point theorems. It is underscored that the fixed-point approach serves as an effective method for establishing both the existence and uniqueness of solutions to boundary value problems. The results obtained are further demonstrated and validated through illustrative examples.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024486