Syam, Sondos M. and Siri, Z. and Altoum, Sami H. and Kasmani, R. Md. (2023) An efficient numerical approach for solving systems of fractional problems and their applications in science. Mathematics, 11 (14). ISSN 2227-7390, DOI https://doi.org/10.3390/math11143132.
Full text not available from this repository.Abstract
In this article, we present a new numerical approach for solving a class of systems of fractional initial value problems based on the operational matrix method. We derive the method and provide a convergence analysis. To reduce computational cost, we transform the algebraic problem produced by this approach into a set of 2 x 2 nonlinear equations, instead of solving a system of 2 m x 2 m equations. We apply our approach to three main applications in science: optimal control problems, Riccati equations, and clock reactions. We compare our results with those of other researchers, considering computational time, cost, and absolute errors. Additionally, we validate our numerical method by comparing our results with the integer model when the fractional order approaches one. We present numerous figures and tables to illustrate our findings. The results demonstrate the effectiveness of the proposed approach.
| Item Type: | Article |
|---|---|
| Funders: | Umm Al-Qura University [Grant No: 23UQU4310382DSR002] |
| Uncontrolled Keywords: | Optimal control problems; Riccati equations; Operational matrix method; Vitamin C clock reaction; Fractional derivative |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 11 Oct 2025 05:01 |
| Last Modified: | 11 Oct 2025 05:01 |
| URI: | http://eprints.um.edu.my/id/eprint/48226 |
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