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Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains

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Publicado en:Fractal and Fractional vol. 9, no. 7 (2025), p. 442-464
Autor principal: Moumen Abdelkader
Otros Autores: Thabet Sabri T. M., Albala Hussien, Aldwoah Khaled, Saber Hicham, Hassan, Eltigani I, Alawia, Adam
Publicado:
MDPI AG
Materias:
Boundary conditions
Calculus
Laplace transforms
Banach spaces
Investigations
Integral equations
Operators (mathematics)
Theorems
Water waves
Iterative solution
Acceso en línea:Citation/Abstract
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Resumen:This article concerns a novel coupled implicit differential system under <inline-formula>φ</inline-formula>–Riemann–Liouville (<inline-formula>RL</inline-formula>) fractional derivatives with <inline-formula>p</inline-formula>-Laplacian operator and multi-point strip boundary conditions on unbounded domains. An applicable Banach space is introduced to define solutions on unbounded domains <inline-formula>[c,∞)</inline-formula>. The explicit iterative solution’s existence and uniqueness (<inline-formula>EaU</inline-formula>) are established by employing the Banach fixed point strategy. The different types of Ulam–Hyers–Rassias (<inline-formula>UHR</inline-formula>) stabilities are investigated. Ultimately, we provide a numerical application of a coupled <inline-formula>φ</inline-formula>-<inline-formula>RL</inline-formula> fractional turbulent flow model to illustrate and test the effectiveness of our outcomes.
ISSN:2504-3110
DOI:10.3390/fractalfract9070442
Fuente:Engineering Database