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 α. Furthermore, we give some examples to illustrate our results.

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