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Multiple Positive Solutions of Nonlocal Boundary Value Problems for p-Laplacian Equations with Fractional Derivative |
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| Authors: | Xiping LIU Mei JIA |
| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China |
| Abstract: | In this paper,we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative.Using a fixed point theorem due to Avery and Peterson,we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results. |
| Keywords: | Keywords p-Laplacian differential equations Caputo fractional derivative integral boundary value problems positive decreasing solutions Avery-Peterson fixed point theorem |
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