Positive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary

Ahmed Hussein Msmali; Ahmed Hussein Msmali

doi:10.3934/math.2022589

AIMS Mathematics

2022, Volume 7, Issue 6: 10564-10581. doi: 10.3934/math.2022589

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Research article

Positive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary

Ahmed Hussein Msmali ^,

Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia

Received: 08 November 2021 Revised: 30 January 2022 Accepted: 06 March 2022 Published: 29 March 2022
MSC : 34A08, 34B15, 34B18, 34B27

In this paper, we are gratified to explore existence of positive solutions for a tripled nonlinear Hadamard fractional differential system with $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator in terms of the parameter $ (\sigma_{1}, \sigma_{2}, \sigma_{3}) $ are obtained, by applying Avery-Henderson and Leggett-Williams fixed point theorems. As an application, an example is given to illustrate the effectiveness of the main result.
- Hadamard fractional system,
- positive solutions,
- boundary value problems,
- $ p $-Laplacian,
- fixed point theorems
Citation: Ahmed Hussein Msmali. Positive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary[J]. AIMS Mathematics, 2022, 7(6): 10564-10581. doi: 10.3934/math.2022589

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Abstract

In this paper, we are gratified to explore existence of positive solutions for a tripled nonlinear Hadamard fractional differential system with $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator in terms of the parameter $ (\sigma_{1}, \sigma_{2}, \sigma_{3}) $ are obtained, by applying Avery-Henderson and Leggett-Williams fixed point theorems. As an application, an example is given to illustrate the effectiveness of the main result.

References

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