Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian

Abstract

We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 11, and the p-Laplacian operator φps=sp-2s. We show some results about the existence and the uniqueness of the positive solution by using fixed point theorems and the properties of Green's function and the p-Laplacian operator.