The Analytical Solution of Telegraph Equation of Space-Fractional Order Derivative by the Aboodh Transform Method

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Mohamed Elarbi Benattia, Kacem Belghaba, The Analytical Solution of Telegraph Equation of Space-Fractional Order Derivative by the Aboodh Transform Method, Int. J. Anal. Appl., 18 (2) (2020), 243-253.

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Mohamed Elarbi Benattia, Kacem Belghaba

Abstract

In this article, an analytical solution based on the series expansion method is proposed to solve the telegraph equation of space - fractional order (TESFO), namely the Aboodh transformation method (ATM) subjected to the appropriate initial condition. Using ATM, it is possible to find exact solution or a closed approximate solution of a differential equation. Finally, several numerical examples are given to illustrate the accuracy and stability of this method.

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References

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