Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian

Abstract

Abstract In this article, the existence of positive solutions is considered for nonlinear four-point Caputo fractional differential equation with p-Laplacian operator. We use the monotone iterative technique to acquire the existence of positive solutions for the boundary value problem and get iterative schemes for approximating the solutions. An example is also presented to illustrate the effectiveness of the main results.

Keywords

• Caputo fractional derivative
• positive solutions
• p-Laplacian
• monotone iterative technique