SOLUTIONS OF CERTAIN CLASS OF NON-LINEAR TIME-FRACTIONAL DIFFUSION EQUATIONS VIA THE FRACTIONAL DIFFERENTIAL TRANSFORM METHOD

Abstract

In this paper, the generalized differential transform method (GDTM) is used to solve certain class of nonlinear time-fractional diffusion equation. An efficient recurrence relation is obtained to solve this problem. Some numerical examples are given for different class of derivative orders which are analyzed numerically for the specified examples.