Four-point boundary value problems for a coupled system of fractional differential equations with ψ-Caputo fractional derivatives

2020/07/10 by Mohamed I. Abbas, Abbas, Mohamed I.
Mathematics · #34A08 #34A12 #34B15 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2007.10325

openalex publication_date 2020/07/10 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we focus on the existence and uniqueness of solutions of boundary value problems for a coupled system of fractional differential equations with four-point boundary conditions involving ψ-Caputo fractional derivatives. Our investigation is based on Leray-Schauder alternative and Banach's fixed point theorem. Two examples are presented to illustrate the applicability of the results developed.

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