# Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions

Volume 9, Issue 3, pp 717--726 Publication Date: March 24, 2016
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### Authors

Yunhong Li - College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China. Guogang Li - College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China.

### Abstract

In this work, we investigate the existence of solutions of p-Laplacian fractional differential equations with integral boundary value conditions. Using the five functionals fixed point theorem, the existence of multiple positive solutions is obtained for the boundary value problems. An example is also given to illustrate the effectiveness of our main result.

### Keywords

• Multiple positive solutions
• p-Laplacian
• the five functionals fixed point theorem.

•  34B15
•  34B18

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