**Volume 10, Issue 5, pp 2366--2383**

**Publication Date**: 2017-05-24

**Tengfei Shen**
- School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China.

**Wenbin Liu**
- School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China.

This paper aims to investigate existence of solutions of several boundary value problems for fractional one-dimensional p-Laplacian equation under controlled parameters. By employing fixed point theory and critical point theory, some new results are obtained, which enrich and generalize the previous results.

Fractional ordinary differential equation, boundary value problem, p-Laplacian operator, existence.

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