Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator
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.
Anahtar Kelimeler:
Existence, positive solution, fractional-order switched system, integral boundary valued problems, $p$-Laplacian operator
Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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