Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with <i>p</i>-Laplacian Operator

Abstract

In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p-Laplacian operators are studied. In addition, three examples are given to justify the conclusion. The interest of this paper is to study impulsive fractional differential equations with p-Laplacian operators.

Keywords

• impulsive fractional differential equations
• <i>p</i>-Laplacian operator
• boundary value problem
• existence
• uniqueness