Positive Solutions for a Class of Nonlinear p-Laplacian Hadamard Fractional Differential Systems With Coupled Nonlocal Riemann-Stieltjes integral Boundary Conditions

Abstract

In this paper, we consider a class of nonlinear p-Laplacian Hadamard fractional differential systems with coupled nonlocal Riemann-Stieltjes integral boundary conditions. First, we obtain the corresponding Green's function for the considered boundary value problems some of its properties. Then, by using the Guo-Krasnosel'skii fixed point theorem, some sufficient conditions for existence and nonexistence of positive solutions for the addressed systems are obtained under the different intervals of the parameters \mu and \nu. Finally, some examples are presented to show the effectiveness of the main results.