Open AccessPositive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary
Author(s) -
Ahmed Hussein Msmali
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022589
Subject(s) - mathematics , hadamard transform , operator (biology) , pure mathematics , p laplacian , fixed point theorem , sigma , laplace operator , differential operator , combinatorics , mathematical analysis , boundary value problem , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
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.