A novel numerical method for stochastic conformable fractional differential systems
This study introduced the conformable fractional discrete Temimi–Ansari method (CFDTAM), a novel numerical framework designed to solve fractional stochastic nonlinear differential equations with enhanced efficiency and accuracy. By leveraging the conformable fractional derivative (CFD), the CFDTAM u...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025345 |
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| author | Aisha F. Fareed Emad A. Mohamed Mokhtar Aly Mourad S. Semary |
| author_facet | Aisha F. Fareed Emad A. Mohamed Mokhtar Aly Mourad S. Semary |
| author_sort | Aisha F. Fareed |
| collection | DOAJ |
| description | This study introduced the conformable fractional discrete Temimi–Ansari method (CFDTAM), a novel numerical framework designed to solve fractional stochastic nonlinear differential equations with enhanced efficiency and accuracy. By leveraging the conformable fractional derivative (CFD), the CFDTAM unifies classical and fractional-order systems while maintaining computational simplicity. The method's efficacy was demonstrated through applications to a stochastic population model and the Brusselator system, showcasing its ability to handle nonlinear dynamics with high precision. A comprehensive convergence analysis was also conducted to validate the reliability and stability of the proposed method. All computations were performed using Mathematica 12 software, ensuring accuracy and consistency in numerical simulations. CFDTAM sets a new benchmark in fractional stochastic modeling, paving the way for advancements in partial differential equations, delay systems, and hybrid models. |
| format | Article |
| id | doaj-art-ebd0565e26d14b4bad38a207b5cdb10f |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-ebd0565e26d14b4bad38a207b5cdb10f2025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-03-011037509752510.3934/math.2025345A novel numerical method for stochastic conformable fractional differential systemsAisha F. Fareed0Emad A. Mohamed1Mokhtar Aly2Mourad S. Semary3Department of Electrical Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Al Kharj 11942, Saudi ArabiaDepartment of Electrical Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Al Kharj 11942, Saudi ArabiaFacultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastián, Bellavista 7, Santiago 8420524, ChileBasic Sciences Department, Faculty of Engineering, Badr University in Cairo, Cairo 11829, EgyptThis study introduced the conformable fractional discrete Temimi–Ansari method (CFDTAM), a novel numerical framework designed to solve fractional stochastic nonlinear differential equations with enhanced efficiency and accuracy. By leveraging the conformable fractional derivative (CFD), the CFDTAM unifies classical and fractional-order systems while maintaining computational simplicity. The method's efficacy was demonstrated through applications to a stochastic population model and the Brusselator system, showcasing its ability to handle nonlinear dynamics with high precision. A comprehensive convergence analysis was also conducted to validate the reliability and stability of the proposed method. All computations were performed using Mathematica 12 software, ensuring accuracy and consistency in numerical simulations. CFDTAM sets a new benchmark in fractional stochastic modeling, paving the way for advancements in partial differential equations, delay systems, and hybrid models.https://www.aimspress.com/article/doi/10.3934/math.2025345stochastic differential equationswhite noisefractional-order systemspopulation modelconformable derivative |
| spellingShingle | Aisha F. Fareed Emad A. Mohamed Mokhtar Aly Mourad S. Semary A novel numerical method for stochastic conformable fractional differential systems AIMS Mathematics stochastic differential equations white noise fractional-order systems population model conformable derivative |
| title | A novel numerical method for stochastic conformable fractional differential systems |
| title_full | A novel numerical method for stochastic conformable fractional differential systems |
| title_fullStr | A novel numerical method for stochastic conformable fractional differential systems |
| title_full_unstemmed | A novel numerical method for stochastic conformable fractional differential systems |
| title_short | A novel numerical method for stochastic conformable fractional differential systems |
| title_sort | novel numerical method for stochastic conformable fractional differential systems |
| topic | stochastic differential equations white noise fractional-order systems population model conformable derivative |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025345 |
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