On the solvability of a fractional differential equation model involving the p-Laplacian operator

Authors:
Xiping Liu;Mei Jia;Xiufen Xiang
Affiliations:
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;Chengde Petroleum College, Chengde 067000, China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this paper, we study the solvability of a Caputo fractional differential equation model involving the p-Laplacian operator with boundary value conditions. By using the Banach contraction mapping principle, some new results on the existence and uniqueness of a solution for the model are obtained. It is interesting to note that the sufficient conditions for the solvability of the model depend on the parameters p and @a. Furthermore, we give some examples to illustrate our results.