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Open AccessArticle

Analytical Solutions of (2+Time Fractional Order) Dimensional Physical Models, Using Modified Decomposition Method

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Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan
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Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
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Institute of Space Sciences, 077125 Magurele-Bucharest, Romania
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Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(1), 122; https://doi.org/10.3390/app10010122
Received: 24 October 2019 / Revised: 13 November 2019 / Accepted: 21 November 2019 / Published: 23 December 2019
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. View Full-Text
Keywords: Shehu transformation; Adomian decomposition; analytical solution; Caputo derivatives; (2+time fractional-order) dimensional physical models Shehu transformation; Adomian decomposition; analytical solution; Caputo derivatives; (2+time fractional-order) dimensional physical models
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MDPI and ACS Style

Khan, H.; Farooq, U.; Shah, R.; Baleanu, D.; Kumam, P.; Arif, M. Analytical Solutions of (2+Time Fractional Order) Dimensional Physical Models, Using Modified Decomposition Method. Appl. Sci. 2020, 10, 122.

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