Analytical Approach to Time-Fractional Partial Differential Equations in Fluid Mechanics
The generalized differential transform method is implemented for solving time-fractional partial differential equations in fluid mechanics. This method is based on the two-dimensional differential transform method (DTM) and generalized Taylor’s formula. Results obtained by using the scheme presented here agree well with the numerical results presented elsewhere. The results reveal the method is feasible and convenient for handling approximate solutions of time-fractional partial differential equations.
Weiguo Pan, Jianxing Ren and Yongguang Li
X. H. Chen et al., "Analytical Approach to Time-Fractional Partial Differential Equations in Fluid Mechanics", Advanced Materials Research, Vols. 347-353, pp. 463-466, 2012