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Analytical Approximate Solution of Fractional Wave Equation by the Optimal Homotopy Analysis Method

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

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Abstract (2. Language): 
In this article, we study the space-fractional wave equation with Riesz fractional derivative. The continuation of the solution of this space-fractional equation to the solution of the corresponding integer order equation is proved. The series solution is obtained based on properties of Riesz fractional derivative operator and utilizing the optimal homotopy analysis method (OHAM). Numerical simulations are presented to validate the method and to show the effect of changing the fractional derivative parameter on the solution behavior.
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REFERENCES

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