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 |
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| Acceso en línea: | Citation/Abstract Full Text Full Text - PDF |
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| 024 | 7 | |a 10.3390/fractalfract9070442 |2 doi | |
| 035 | |a 3233189678 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 100 | 1 | |a Moumen Abdelkader |u Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia; mo.abdelkader@uoh.edu.sa (A.M.); hi.saber@uoh.edu.sa (H.S.) | |
| 245 | 1 | |a Efficient Solution Criteria for a Coupled Fractional Laplacian System on Some Infinite Domains | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Boundary conditions | ||
| 653 | |a Calculus | ||
| 653 | |a Laplace transforms | ||
| 653 | |a Banach spaces | ||
| 653 | |a Investigations | ||
| 653 | |a Integral equations | ||
| 653 | |a Operators (mathematics) | ||
| 653 | |a Theorems | ||
| 653 | |a Water waves | ||
| 653 | |a Iterative solution | ||
| 700 | 1 | |a Thabet Sabri T. M. |u Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India | |
| 700 | 1 | |a Albala Hussien |u Department of Computer Sciences, College of Sciences &amp; Arts, Tanomah, King Khalid University, Abha 61421, Saudi Arabia | |
| 700 | 1 | |a Aldwoah Khaled |u Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia | |
| 700 | 1 | |a Saber Hicham |u Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia; mo.abdelkader@uoh.edu.sa (A.M.); hi.saber@uoh.edu.sa (H.S.) | |
| 700 | 1 | |a Hassan, Eltigani I |u Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi Arabia; eiabdalla@imamu.edu.sa | |
| 700 | 1 | |a Alawia, Adam |u Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia | |
| 773 | 0 | |t Fractal and Fractional |g vol. 9, no. 7 (2025), p. 442-464 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3233189678/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3233189678/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3233189678/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |