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

被引：0
|
作者：
Xiong, Yating [1 ]
Elbukhari, Abu Bakr [1 ,2 ,3 ]
Dong, Qixiang [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
[2] Yangzhou Univ, Sch Informat Engn, Yangzhou 225003, Peoples R China
[3] Univ Khartoum, Dept Math, Omdurman 406, Khartoum 11115, Sudan
来源：
FRACTAL AND FRACTIONAL | 2025年 / 9卷 / 03期
关键词：
fractional differential equations; infinite delay; fixed-point theorem; existence and uniqueness; Hyers-Ulam stability; SYSTEMS; THEOREM;
D O I：
10.3390/fractalfract9030140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the paper is to prove the existence results and Hyers-Ulam stability to nonlinear multi-term Psi-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.
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页数：17
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