Series splutions for initial-value problems of time fractional generalized anomalous diffusion equations

  • Hemant Kumar
  • Mahmood A. Pathan
  • Priyanka Yadav
Keywords: Initial value problem, Generalized anomalous diffusion equation, Riemann-Liouville fractional order derivative, Caputo derivative, Bilinear Eigen functions, Numerical approximation formula

Abstract

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.

Published
2012-11-08
Section
Articoli