文章基本信息

标题：On a fractional Caputo–Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators
本地全文：下载
作者：Sina Etemad ; Shahram Rezapour ; Fethiye Muge Sakar 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：1-20
DOI：10.1186/s13662-020-02741-7
出版社：Hindawi Publishing Corporation
摘要：We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By using the Krasnoselskii’s fixed point theorem, the Leray–Schauder nonlinear alternative, and the Banach contraction principle, we prove our main results. Also, we provide three examples to illustrate our main results.
关键词：Boundary value problem;Leray–Schauder;The Caputo–Hadamard fractional derivative;The Hadamard fractional integral;