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.
引用
收藏
页数：17
相关论文
共 50 条
  • [41] Hyers-Ulam stability of linear fractional differential equations with variable coefficients
    Liu, Hui
    Li, Yongjin
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [42] Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type
    Agarwal, Ravi P.
    Hristova, Snezhana
    AXIOMS, 2022, 11 (12)
  • [43] HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE
    Baleanu, Dumitru
    Kandasamy, Banupriya
    Kasinathan, Ramkumar
    Kasinathan, Ravikumar
    Sandrasekaran, Varshini
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (03): : 967 - 982
  • [44] HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE
    Varshini, S.
    Banupriya, K.
    Ramkumar, K.
    Ravikumar, K.
    Baleanu, D.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2022, 91 (04): : 351 - 364
  • [45] HYERS-ULAM STABILITY FOR GEGENBAUER DIFFERENTIAL EQUATIONS
    Jung, Soon-Mo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [46] Hyers-Ulam Stability of Linear Differential Equations
    Murali, R.
    Selvan, A. Ponmana
    COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS: MODELS AND TECHNIQUES FOR INTELLIGENT SYSTEMS AND AUTOMATION, 2018, 844 : 183 - 192
  • [47] Existence of Solutions and Hyers-Ulam Stability for a Coupled System of Nonlinear Fractional Differential Equations with p-Laplacian Operator
    Shao, Jing
    Guo, Boling
    SYMMETRY-BASEL, 2021, 13 (07):
  • [48] Hyers-Ulam stability of hypergeometric differential equations
    Abdollahpour, Mohammad Reza
    Rassias, Michael Th
    AEQUATIONES MATHEMATICAE, 2019, 93 (04) : 691 - 698
  • [49] Existence and Hyers–Ulam Stability of Jerk-Type Caputo and Hadamard Mixed Fractional Differential Equations
    Yanli Ma
    Maryam Maryam
    Usman Riaz
    Ioan-Lucian Popa
    Lakhdar Ragoub
    Akbar Zada
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [50] Exact solutions and Hyers-Ulam stability for fractional oscillation equations with pure delay
    Liu, Li
    Dong, Qixiang
    Li, Gang
    APPLIED MATHEMATICS LETTERS, 2021, 112
12345