文章基本信息

标题：Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions
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作者：Akbar Zada ; Jehad Alzabut ; Hira Waheed 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：1-50
DOI：10.1186/s13662-020-2534-1
出版社：Hindawi Publishing Corporation
摘要：This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we give two examples to demonstrate the validity of main results.
关键词：Caputo derivative ; Riemann–Liouville integral ; Impulse ; Ulam–Hyers stability ; Fixed point theory ;