Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1503-25
Keywords
Existence, positive solution, fractional-order switched system, integral boundary valued problems, $p$-Laplacian operator
First Page
864
Last Page
871
Recommended Citation
GUO, X (2015). Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator. Turkish Journal of Mathematics 39 (6): 864-871. https://doi.org/10.3906/mat-1503-25
