On the solvability of a fractional differential equation model involving the p-Laplacian operator
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. (C) 2012 Elsevier Ltd. All rights reserved.
p-laplacian operator banach contraction mapping principle existence and uniqueness caputo fractional derivative boundary value problem