Edeki, S.O. and Akinlabi, G. O. and EZEKIEL, I. D. (2018) Analytical Solutions of a 1D Time-fractional Coupled Burger Equation via Fractional Complex Transform. WSEAS TRANSACTIONS on MATHEMATICS, 17 (29). pp. 229-236. ISSN 2224-2880
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Abstract
In this paper, we obtain analytical solutions of a system of time-fractional coupled Burger equation of one-dimensional form via the application of Fractional Complex Transform (FCT) coupled with a modified differential transform method (MDTM) in comparison with Adomian Decomposition Method ADM). The associated fractional derivatives are defined in terms of Jumarie’s sense. Illustrative cases are considered in clarifying the effectiveness of the proposed technique. The method requires minimal knowledge of fractional calculus. Neither linearization nor discretization is involved. The results are also presented graphically for proper illustration and efficiency is ascertained. Hence, the recommendation of the method for linear and nonlinear space-fractional models.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | UNSPECIFIED |
| Depositing User: | S.O. Edeki |
| Date Deposited: | 16 Sep 2018 17:05 |
| Last Modified: | 16 Sep 2018 17:05 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/11630 |
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