%0 Journal Article %T Series splutions for initial-value problems of time fractional generalized anomalous diffusion equations %A Hemant Kumar %A Mahmood A. Pathan %A Priyanka Yadav %J Le Matematiche %D 2012 %I University of Catania %X 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. %K Initial value problem %K Generalized anomalous diffusion equation %K Riemann-Liouville fractional order derivative %K Caputo derivative %K Bilinear Eigen functions %K Numerical approximation formula %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/992