AIMS Mathematics (Mar 2022)

Positive solutions for a system of Hadamard fractional (ϱ1,ϱ2,ϱ3)-Laplacian operator with a parameter in the boundary

  • Ahmed Hussein Msmali

DOI
https://doi.org/10.3934/math.2022589
Journal volume & issue
Vol. 7, no. 6
pp. 10564 – 10581

Abstract

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In this paper, we are gratified to explore existence of positive solutions for a tripled nonlinear Hadamard fractional differential system with (ϱ1,ϱ2,ϱ3)-Laplacian operator in terms of the parameter (σ1,σ2,σ3) 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.

Keywords