Homotopy analysis technique for fractional heat equation through inverse laplace transform
Abstract
In this paper , we tried to solve some fascinating one-dimensional time fractional heat equations with the computational inverse Laplace homotopy technique. This approach is based on the perturbation method of Laplace Homotopy (LHPM), which is combined form of transform Laplace and the homotopy perturbation method. Next we used He’s polynomials to refer to the fractional one-dimensional partial differential equations. We have suggested that proposed model would be proved very efficient and powerful methods in calculating solutions to the fractional partial differential equations.