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

Xiufeng Guo | Zendy

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

Author(s) -

Xiufeng Guo

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1503-25

Subject(s) - mathematics , p laplacian , laplace operator , operator (biology) , semi elliptic operator , differential operator , mathematical analysis , pure mathematics , boundary value problem , chemistry , biochemistry , repressor , transcription factor , gene

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.

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