Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional integro-differential equations

Fixed Point Theory and Algorithms for Sciences and Engineering 2026 Open access

Read full text
Authors: Chahra Kechar, Ahmed A. Hamoud, Abdelouaheb Ardjouni, Homan Emadifar, Karim K. Ahmed
DOI: 10.1186/s13663-025-00821-5
Cited by: 1
References: 20

Abstract

The present paper is devoted to discussing a class of nonlinear Caputo-type fractional integro-differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Leray-Schauder alternative principle and the Banach contraction principle. Furthermore, by means of a novel Gronwall-type inequality, we prove the Hyers-Ulam stability of boundary value problems of multi-term Caputo fractional differential equations. Finally, some numerical examples are given to illustrate the results.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Fuzzy Systems and Optimization

Publication details

Journal / source
Fixed Point Theory and Algorithms for Sciences and Engineering
Publisher
Springer Science and Business Media LLC
Volume
2026
Issue
1
Publication date
21 January 2026
Language
EN