Homotopy Analysis Method for Solving Fractional Diffusion Equation

@inproceedings{Das2011HomotopyAM,
  title={Homotopy Analysis Method for Solving Fractional Diffusion Equation},
  author={Subir Das and K. Vishal and Praveen Kumar Gupta and Santanu Saha Ray},
  year={2011}
}
In this letter, the powerful, easy-to-use and effective mathematical tool like Homotopy Analysis Method is used to solve the diffusion equation with fractional time derivative ) 1 0 (    . Using the initial condition, the approximate analytical solution of the problem is obtained. Choosing proper values of auxiliary and homotopy parameters, the convergence of the approximate series solution is illustrated for different particular cases. The regions of convergence of the solution for some… CONTINUE READING

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