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Fractional Telegraph Equation and Its Solution by Natural Transform Decomposition Method

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In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform… Click to show full abstract

In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform and the Adomian decomposition methods. In addition, we prove the convergence of our method. Finally, three examples have been employed to illustrate the preciseness and effectiveness of the proposed method.

Keywords: fractional telegraph; transform decomposition; decomposition method; natural transform; transform

Journal Title: Symmetry
Year Published: 2019

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