Syam, Sondos M. and Siri, Z. and Kasmani, R. Md. and Yildirim, Kenan (2023) A new method for solving sequential fractional wave equations. Journal of Mathematics, 2023. ISSN 2314-4629, DOI https://doi.org/10.1155/2023/5888010.
Full text not available from this repository.Abstract
In this article, we focus on two classes of fractional wave equations in the context of the sequential Caputo derivative. For the first class, we derive the closed-form solution in terms of generalized Mittag-Leffler functions. Subsequently, we consider a more general class of nonhomogeneous fractional wave equations. Due to the complexity of finding exact solutions for these problems, we employ a numerical technique based on the operational matrix method to approximate the solution. We provide several theoretical and numerical examples to validate the effectiveness of this numerical approach. The results demonstrate the accuracy and efficiency of the proposed method.
| Item Type: | Article |
|---|---|
| Funders: | None |
| Uncontrolled Keywords: | Fractional wave equations; Sequential Caputo 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 07:55 |
| Last Modified: | 11 Oct 2025 07:55 |
| URI: | http://eprints.um.edu.my/id/eprint/48205 |
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