An efficient analytical technique, for the solution of fractional-order telegraph equations
Mathematics, ISSN: 2227-7390, Vol: 7, Issue: 5
2019
- 34Citations
- 10Captures
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Article Description
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.
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