Positive solutions to nonlinear fractional differential equations involving Stieltjes integrals conditions

Volume 10, Issue 10, pp 5360--5372 http://dx.doi.org/10.22436/jnsa.010.10.22

Publication Date: October 20, 2017 Submission Date: May 13, 2017

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Authors

Jiqiang Jiang - School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of China. Lishan Liu - School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, People's Republic of China. - Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia. Yonghong Wu - Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia.

Abstract

In this paper, we consider the existence of positive solutions for a class of nonlinear fractional semipositone differential equations involving integral boundary conditions. Some existence results of positive solutions are obtained by means of Leray-Schauder's alternative and Krasnoselskii's fixed point theorem. An example is given to demonstrate the application of our main results.

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Keywords

• Integral boundary conditions
• semipositone
• fractional differential equation
• positive solutions
• fixed point theory

MSC

•  34A08
•  34B18

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