Control of Ebola Epidemic System Based on Terminal Synergetic Controller Design
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Author list: Boonyaprapasorn A., Choopojcharoen T., Pengwang E., Maneewarn T., Natsupakpong S., Sa-Ngiamsunthorn P., Suechoei A., Wechsathol W.
Publisher: MDPI AG
Publication year: 2019
Volume number: 10
Issue number: 1
Start page: 204
End page: 209
Number of pages: 6
ISSN: 2076-3417
eISSN: 2076-3417
Languages: English-Great Britain (EN-GB)
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Abstract
In this article, a new analytical technique based on an innovative transformation is used to solve (2+time fractional-order) dimensional physical models. The proposed method is the hybrid methodology of Shehu transformation along with Adomian decomposition method. The series form solution is obtained by using the suggested method which provides the desired rate of convergence. Some numerical examples are solved by using the proposed method. The solutions of the targeted problems are represented by graphs which have confirmed closed contact between the exact and obtained solutions of the problems. Based on the novelty and straightforward implementation of the method, it is considered to be one of the best analytical techniques to solve linear and non-linear fractional partial differential equations. ฉ 2019 by the authors.
Keywords
(2+time fractional-order) dimensional physical models, Adomian decomposition, Caputo derivatives, Shehu transformation
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