Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian

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• 作者：Luchao Zhang ; Weiguo Zhang ; Xiping Liu ; Mei Jia
• 关键词：fractional differential equations ; Caputo derivative ; p ; Laplacian operator ; integral boundary conditions ; positive solutions
• 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：1567KB
• 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 the existence of positive solutions for integral boundary value problems of Caputo fractional differential equations with p-Laplacian operator. By means of the properties of the Green’s function, Avery-Peterson fixed point theorems, we establish conditions ensuring the existence of positive solutions for the problem. As an application, an example is given to demonstrate the main result.