# A New analytical Modeling for Fractional Telegraph Equation Arising in Electromagnetic

## DOI:

https://doi.org/10.15642/mantik.2022.8.2.124-138## Keywords:

Fractional telegraph equations, Variation iteration method, Elzaki integral transform, He’s polynomial, Homotopy perturbation method## Abstract

In this article, the He’s variation iteration method (VIM) and Elzaki integral transform are proposed to analyze the time-fractional telegraph equations arising in electromagnetics. The Caputo sense is used to describe fractional derivatives. One of the advantages of this technique is that there is neither need to compute the Lagrange multiplier by calculating the integration in recurrence relations or via taking the convolution theorem. Further, to decrease nonlinear computational terms, the Adomian polynomial is identified with the homotopy perturbation method (HPM). The proposed method is applied to some examples of linear and nonlinear fractional telegraph equations. The solutions obtained by the new computational technique indicate that this method is efficient and facilitates the process of solving time fractional differential equations.

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*Jurnal Matematika MANTIK*,

*8*(2), 124–138. https://doi.org/10.15642/mantik.2022.8.2.124-138

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