Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator

Authors: XIUFENG GUO

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.

Keywords: Existence, positive solution, fractional-order switched system, integral boundary valued problems, $p$-Laplacian operator

Full Text: PDF