Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions

被引：0
作者：
Mengyan Cui
Yuke Zhu
Huihui Pang
机构：
[1] China Agricultural University,College of Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
fractional differential systems; Leray-Schauder’s alternative; fixed point theorems; multi-strip and multi-point mixed boundary conditions; 26A33; 34B15; 34B18;
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摘要：
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations supplemented with the multi-strip and multi-point mixed boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. We also show the existence and uniqueness results of a positive solution by applying the Krasnoselskii fixed point theorem.
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