Positive solutions for a system of fractional q-difference equations with generalized p-Laplacian operators

Abstract

In this paper, we consider the existence of positive solutions for a system of fractional $ q $-difference equations with generalized $ p $-Laplacian operators. By using Guo-Krasnosel'skii fixed point theorem, we obtain some existence results of positive solutions for this system with two parameters under some different combinations of superlinearity and sublinearity of the nonlinear terms. In the end, we give two examples to illustrate our main results.

Keywords

• fixed point theorem
• fractional $ q $-difference equation
• generalized $ p $-laplacian operator
• existence
• positive solution