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Open AccessArticle

Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method

1
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2
Department of Mathematics, College of Science, Sudan University of Science and Technology, P.O. Box 407, Khartoum 11111, Sudan
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(3), 334; https://doi.org/10.3390/sym11030334
Received: 11 January 2019 / Revised: 21 February 2019 / Accepted: 26 February 2019 / Published: 6 March 2019
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform and the Adomian decomposition methods. In addition, we prove the convergence of our method. Finally, three examples have been employed to illustrate the preciseness and effectiveness of the proposed method. View Full-Text
Keywords: natural transform; Adomian decomposition method; Caputo fractional derivative; generalized mittag-leffler function natural transform; Adomian decomposition method; Caputo fractional derivative; generalized mittag-leffler function
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MDPI and ACS Style

Eltayeb, H.; Abdalla, Y.T.; Bachar, I.; Khabir, M.H. Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method. Symmetry 2019, 11, 334. https://doi.org/10.3390/sym11030334

AMA Style

Eltayeb H, Abdalla YT, Bachar I, Khabir MH. Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method. Symmetry. 2019; 11(3):334. https://doi.org/10.3390/sym11030334

Chicago/Turabian Style

Eltayeb, Hassan; Abdalla, Yahya T.; Bachar, Imed; Khabir, Mohamed H. 2019. "Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method" Symmetry 11, no. 3: 334. https://doi.org/10.3390/sym11030334

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