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**Analytical solution of a fractional diffusion equation by variational iteration method.**
*(English)*
Zbl 1165.35398

Summary: In the present paper the Analytical approximate solution of a fractional diffusion equation is deduced with the help of powerful Variational Iteration method. By using an initial value, the explicit solutions of the equation for different cases have been derived, which accelerate the rapid convergence of the series solution. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented graphically.

### MSC:

35K57 | Reaction-diffusion equations |

26A33 | Fractional derivatives and integrals |

35A35 | Theoretical approximation in context of PDEs |

35C05 | Solutions to PDEs in closed form |

65M99 | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |

### Keywords:

fractional diffusion equation; analytical approximate solution; variational iteration method; mittag-leffler function
Full Text:
DOI

### References:

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