Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations

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• 作者：Kaihong Zhao ; Jiangyan Liang
• 关键词：impulsive fractional differential equations ; existence of solutions ; integral boundary value problems ; fixed point theorem
• 刊名：Advances in Difference Equations
• 出版年：2017
• 出版时间：December 2017
• 年：2017
• 卷：2017
• 期：1
• 全文大小：1640KB
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847
• 卷排序：2017

文摘

This paper is concerned with a class of triple-point integral boundary value problems for impulsive fractional differential equations involving the Riemann-Liouville fractional derivative of order α (\(2<\alpha\leq3\)). Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem. As an application, one example is given to demonstrate the validity of our main results.