Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ -Hilfer Fractional Derivatives

Wongcharoen, Athasit and Ntouyas, Sotiris K. and Wongsantisuk, Phollakrit and Tariboon, Jessada and Shmarev, Sergey (2021) Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ -Hilfer Fractional Derivatives. Advances in Mathematical Physics, 2021. pp. 1-9. ISSN 1687-9120

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Abstract

In this article, we discuss the existence and uniqueness of solutions for a new class of coupled system of sequential fractional differential equations involving ψ-Hilfer fractional derivatives, supplemented with multipoint boundary conditions. We make use of Banach’s fixed point theorem to obtain the uniqueness result and the Leray-Schauder alternative to obtain the existence result. Examples illustrating the main results are also constructed

Item Type: Article
Subjects: European Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 24 Feb 2023 03:33
Last Modified: 10 May 2024 06:12
URI: http://go7publish.com/id/eprint/1287

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