Work

Existence and Hyers–Ulam Stability Analysis of Nonlinear Multi-Term Ψ-Caputo Fractional Differential Equations Incorporating Infinite Delay

Year: 2025

Type: article

Abstract: The aim of the paper is to prove the existence results and Hyers–Ulam stability to nonlinear multi-term Ψ-Caputo fractional differential equations with infinite delay. Some specified assumptions are supposed to be satisfied by the nonlinear item and the delayed term. The Leray–Schauder alternative theorem and the Banach contraction principle are utilized to analyze the existence and uniqueness of solutions for infinite delay problems. Some new inequalities are presented in this paper for delayed fractional differential equations as auxiliary results, which are convenient for analyzing Hyers–Ulam stability. Some examples are discussed to illustrate the obtained results.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9030140

Authors: Yating Xiong, Abu Bakr Elbukhari, Qixiang Dong

Institutions: Yangzhou University, University of Khartoum

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: National Natural Science Foundation of China