Work

Existence and stability results for a coupled multi-term Caputo fractional differential equations

Year: 2025

Type: article

Abstract: In this article, we explore a new class of nonlocal boundary value problems defined by coupled multi-term delay Caputo fractional differential equations along with a multipoint-integral boundary problem. For analytical purposes, we reformulate the problem as a fixed-point problem to facilitate the application of fixed-point theory. The existence of solutions is demonstrated using Krasnoselskii’s fixed-point theorem, while the uniqueness of solutions is established through Banach’s fixed-point theorem. We also discuss the stability criteria, including Ulam-Hyers ( $\mathcal{UH}$ ), generalized Ulam-Hyers ( $\mathcal{GUH}$ ), Ulam-Hyers-Rassias ( $\mathcal{UHR}$ ), and generalized Ulam-Hyers-Rassias ( $\mathcal{GUHR}$ ) stability, for solutions of the equation at hand. To illustrate the theoretical results, we present an example.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-025-00789-2

Authors: Gunaseelan Mani, Purushothaman Ganesh, Pandiarajan Ramasamy, Sarah Aljohani, Nabil Mlaiki

Institutions: Saveetha University, St. Joseph’s College of Engineering, Prince Sultan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: Prince Sultan University