Existence and stability results for nonlinear fractional integrodifferential coupled systems

被引:5
作者
Zhou, Jue-liang [1 ]
He, Yu-bo [1 ,2 ]
Zhang, Shu-qin [3 ]
Deng, Hai-yun [1 ]
Lin, Xiao-yan [1 ,2 ]
机构
[1] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418000, Hunan, Peoples R China
[2] Key Lab Intelligent Control Technol Wuling Mt Ecol, Huaihua 418000, Peoples R China
[3] China Univ Min & Technol Beijing, Sch Sci, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear fractional integrodifferential coupled system; psi-Hilfer fractional derivative; Existence and stability; ULAM-HYERS STABILITY; DIFFERENTIAL-EQUATIONS; CALCULUS;
D O I
10.1186/s13661-023-01698-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of nonlinear psi-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.
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页数:14
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