文章基本信息

标题：Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative
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作者：Idris Ahmed ; Poom Kumam ; Fahd Jarad 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：1-18
DOI：10.1186/s13662-020-02681-2
出版社：Hindawi Publishing Corporation
摘要：In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. Besides, we derive the relation between the proposed problem and the Volterra integral equation. Using the concepts of Banach and Krasnoselskii’s fixed point theorems, we investigate the existence and uniqueness of solutions to the proposed problem. Finally, we present two examples to clarify the abstract result.
关键词：Hilfer fractional derivative;Stability;Volterra integral equation;Nonlocal integral condition;