Existence and stability results for nonlinear fractional integrodifferential coupled systems

Boundary Value Problems

Research

Jue-liang Zhou¹  Hai-yun Deng¹  Xiao-yan Lin²  Yu-bo He²  Shu-qin Zhang³ 

[1] School of Mathematics and Computational Science, Huaihua University, 418000, Huaihua, Hunan, China;School of Mathematics and Computational Science, Huaihua University, 418000, Huaihua, Hunan, China;Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, 418000, Huaihua, China;School of Science, China University of Mining and Technology-Beijing, 100083, Beijing, China;

关键词: Nonlinear fractional integrodifferential coupled system;    ψ;    Existence and stability;    26A33;    34A08;    34K20;    45D05;   

DOI  :  10.1186/s13661-023-01698-2

 received in 2022-11-27, accepted in 2023-01-25,  发布年份 2023

来源: Springer

【 摘 要 】

In this paper, a class of nonlinear ψ-Hilfer fractional integrodifferential coupled systems on a bounded domain is investigated. The existence and uniqueness results for the coupled systems are proved based on the contraction mapping principle. Moreover, the Ulam–Hyers–Rassias, Ulam–Hyers, and semi-Ulam–Hyers–Rassias stabilities to the initial value problem are obtained.

【 授权许可】

CC BY   
© The Author(s) 2023

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