文章基本信息

标题：On existence and stability results to a class of boundary value problems under Mittag-Leffler power law
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作者：Gauhar Ali ; Kamal Shah ; Thabet Abdeljawad 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：1-13
DOI：10.1186/s13662-020-02866-9
出版社：Hindawi Publishing Corporation
摘要：Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using the Banach contraction and Krasnoselskii’s fixed point theorems. Moreover, different kinds of stability theory including Hyers–Ulam, generalized Hyers–Ulam, Hyers–Ulam-Rassias and generalized Hyers–Ulam–Rassias stability are also developed for the problem under consideration. Appropriate examples are given for illustrative purposes.
关键词：Boundary conditions;ABC fractional derivative;Krasnoselskii fixed point theorem;Stability theory;