"Existence of unique solution to switchedfractional differential equati" by XIUFENG GUO

Turkish Journal of Mathematics

Article Title

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

Authors

DOI

10.3906/mat-1503-25

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.

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

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