Multiple positive solutions of fractional-order boundary value problem with integral boundary conditions

Volume 10, Issue 12, pp 6333--6343 http://dx.doi.org/10.22436/jnsa.010.12.17

Publication Date: December 13, 2017 Submission Date: October 17, 2017

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Authors

Youyu Wang - Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China. Shuilian Liang - Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China. Qichao Wang - Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, P. R. China.

Abstract

We concentrate on investigating the existence of positive solutions for fractional-order differential equations with integral conditions in this article. The problem is issued by applying Avery-Peterson fixed-point theorem and the properties of Green's function. At the same time, we provide an example to make our results clear and easy for readers' to understand the multiplicity of solutions.

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Keywords

• Fractional differential equation
• integral boundary value conditions
• multiplicity of positive solutions

MSC

•  34B15
•  34B18

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