Edeki, S.O. and Akinlabi, G. O. and Onyenike, Kenneth (2017) Local Fractional Operator for the Solution of Quadratic Riccati Differential Equation with Constant Coefficients. In: Proceedings of the International MultiConference of Engineers and Computer Scientists, March 15 - 17, 2017, Hong Kong.
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Abstract
In this paper, we consider approximate solutions of fractional Riccati differential equations via the application of local fractional operator in the sense of Caputo derivative. The proposed semi-analytical technique is built on the basis of the standard Differential Transform Method (DTM). Some illustrative examples are given to demonstrate the effectiveness and robustness of the proposed technique; the approximate solutions are provided in the form of convergent series. This shows that the solution technique is very efficient, and reliable; as it does not require much computational work, even without given up accuracy.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Fractional differential equations; Modified DTM; Riccati Differential Equation |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Patricia Nwokealisi |
| Date Deposited: | 15 Sep 2017 15:08 |
| Last Modified: | 15 Sep 2017 15:08 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/9337 |
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