An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

Hassan Khan, Rasool Shah, Poom Kumam, Dumitru Baleanu and Muhammad Arif
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Hassan Khan: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan
Rasool Shah: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan
Poom Kumam: 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
Dumitru Baleanu: Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
Muhammad Arif: Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan

Mathematics, 2019, vol. 7, issue 5, 1-19

Abstract: In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative. Series form solutions are obtained for fractional-order telegraph equations by using the proposed method. Some numerical examples are presented to understand the procedure of the Laplace-Adomian decomposition method. As the Laplace-Adomian decomposition procedure has shown the least volume of calculations and high rate of convergence compared to other analytical techniques, the Laplace-Adomian decomposition method is considered to be one of the best analytical techniques for solving fractional-order, non-linear partial differential equations—particularly the fractional-order telegraph equation.

Keywords: Laplace-adomian decomposition method; fractional-order of telegraph equations; Caputo operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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