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

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Date

2019

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MDPI

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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 equationsparticularly the fractional-order telegraph equation.

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Laplace-Adomian Decomposition Method, Fractional-Order of Telegraph Equations, Caputo Operator

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Khan, Hassan...et al. (2019). "An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations", Mathematics, Vol. 7, No. 5.

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Mathematics

Volume

7

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5

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