A System of Coupled Multi-Term Fractional Differential Equations with Three-Point Coupled Boundary Conditions

被引：0
|
作者：
Bashir Ahmad
Najla Alghamdi
Ahmed Alsaedi
Sotiris K. Ntouyas
机构：
[1] Faculty of Science King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] University of Jeddah,Research Group Department of Mathematics
[3] University of Ioannina,Department of Mathematics, Faculty of Science
来源：
Fractional Calculus and Applied Analysis | 2019年 / 22卷
关键词：
Primary 26A33; Secondary 34A08; 34B10; 34A30; Caputo fractional derivative; coupled system; multi-term fractional differential equations; nonlocal boundary conditions; existence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper studies the existence and uniqueness of solutions for a new boundary value problem of coupled nonlinear multi-term fractional differential equations supplemented with three-point coupled boundary conditions. We make use of Banach’s contraction principle and Leray-Schauder’s alternative to derive the desired results, which are well illustrated with examples. We emphasize that the obtained results are new and make a significant contribution to the existing literature on the topic.
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页码：601 / 616
页数：15
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