- Turkish Journal of Mathematics
- Vol: 39 Issue: 6
- Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operato...
Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator
Authors : Xiufeng Guo
Pages : 864-871
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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