文章基本信息

标题：Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ -Hilfer fractional derivative
本地全文：下载
作者：Chatthai Thaiprayoon ; Weerawat Sudsutad ; Sotiris K. Ntouyas 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：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03214-1
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions. The arguments are based on Banach’s, Schaefer’s, and Krasnosellskii’s fixed point theorems. Further, applying the techniques of nonlinear functional analysis, we establish various kinds of the Ulam stability results for the analyzed problem, that is, the Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we provide some examples to illustrate the applicability of our results.
关键词：Existence; Uniqueness; ψ-Hilfer fractional derivative; Nonlocal boundary condition; Ulam–Hyers stability