Boundary Value Problems for a Class of  Coupled System of Caputo-Katugampola Type Fractional Differential Equation

doi:10.13438/j.cnki.jdzk.2024.05.003

Abstract

Abstract: In this paper,by using Leray-Schauder alternative theorem and Schauder fixed point theorem,we study the existence and uniqueness of solutions of boundary value problems for a class of fractional differential equations coupled systems with Caputo-Katugampola derivatives,and study the Ulam-Hyers stability of the boundary value problems by using Banach fixed point theorem and the definition of Ulam-Hyers stability.

Key words: fractional differential equation, Caputo-Katugampola derivative, coupled system, fixed point theorem, Ulam-Hyers stability

LI Ningjing, HE Xiaofei, CHEN Guoping. Boundary Value Problems for a Class of Coupled System of Caputo-Katugampola Type Fractional Differential Equation [J]. Journal of Jishou University(Natural Sciences Edition), 2024, 45(5): 17-27.

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Boundary Value Problems for a Class of Coupled System of Caputo-Katugampola Type Fractional Differential Equation

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