Existence of unique solution to switched fractional differential equations with p-Laplacian operator

Abstract

In this paper, we study a class of nonlinear switched systems of fractional order with p-Laplacian operator. By applying a fixed point theorem for a concave operator on a cone, we obtain the existence and uniqueness of a positive solution for an integral boundary value problem with switched nonlinearity under some suitable assumptions. An illustrative example is included to show that the obtained results are effective.