A new fixed point approach for solutions of a p-Laplacian fractional q-difference boundary value problem with an integral boundary condition

Autor: Asghar Ahmadkhanlu, Hojjat Afshari, Jehad Alzabut
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 23770-23785 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241155https://www.aimspress.com/article/doi/10.3934/math.20241155
Popis: We explored a class of quantum calculus boundary value problems that include fractional $ q $-difference integrals. Sufficient and necessary conditions for demonstrating the existence and uniqueness of positive solutions were stated using fixed point theorems in partially ordered spaces. Moreover, the existence of a positive solution for a boundary value problem with a Riemann-Liouville fractional derivative and an integral boundary condition was examined by utilizing a novel fixed point theorem that included a $ \mathfrak{a} $-$ \eta $-Geraghty contraction. Several examples were provided to demonstrate the efficacy of the outcomes.
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