文章基本信息

标题：Existence and Ulam stability results of a coupled system for terminal value problems involving ψ -Hilfer fractional operator
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作者：Mohammed S. Abdo ; Kamal Shah ; Satish K. Panchal 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-21
DOI：10.1186/s13662-020-02775-x
出版社：Hindawi Publishing Corporation
摘要：The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated. Besides, the stability analysis in the Ulam–Hyers sense of a given system is studied. Our discussion is based upon known fixed point theorems of Banach and Krasnoselskii. Examples are also provided to demonstrate the applicability of our results.
关键词：Hilfer fractional differential equation;Terminal value problem;Existence and stability theory;Fixed point theorem;