Kaabar, Mohammed K. A. and Martinez, Francisco and Martinez, Inmaculada and Siri, Zailan and Paredes, Silvestre (2021) Novel investigation of multivariable conformable calculus for modeling scientific phenomena. Journal of Mathematics, 2021. ISSN 2314-4629, DOI https://doi.org/10.1155/2021/3670176.
Full text not available from this repository.Abstract
New investigation on the conformable version (CoV) of multivariable calculus is proposed. The conformable derivative (CoD) of a real-valued function (RVF) of several variables (SVs) and all related properties are investigated. An extension to vector-valued functions (VVFs) of several real variables (SRVs) is studied in this work. The CoV of chain rule (CR) for functions of SVs is also introduced. At the end, the CoV of implicit function theorem (IFThm) for SVs is established. All results in this work can be potentially applied in studying various modeling scenarios in physical oceanography such as Stommel's box model of thermohaline circulation and other related models where all our results can provide a new analysis and computational tool to investigate these models or their modified formulations.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Mathematics;Fractional calculus;Numerical methods |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 14 Oct 2022 08:19 |
| Last Modified: | 14 Oct 2022 08:19 |
| URI: | http://eprints.um.edu.my/id/eprint/35305 |
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