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, XIUFENG
(2015)
"Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator,"
Turkish Journal of Mathematics: Vol. 39:
No.
6, Article 7.
https://doi.org/10.3906/mat-1503-25
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss6/7
