Series splutions for initial-value problems of time fractional generalized anomalous diffusion equations
Keywords:
Initial value problem, Generalized anomalous diffusion equation, Riemann-Liouville fractional order derivative, Caputo derivative, Bilinear Eigen functions, Numerical approximation formulaAbstract
In this paper, we formulate an initial-value problem of generalized anomalous diffusion equation consisting second order in two dimensional space and fractional order in time derivatives and then solve it by applying a series involving bilinear Eigen functions. Also, we evaluate a numerical approximation formula of this solution and also discuss its some special cases.Downloads
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