Exact Solutions, Lie Symmetry Analysis and Conservation Laws of the Time Fractional Diffusion-Absorption Equation

Abstract

A three-dimensional Lie algebra of the time fractional diffusion-absorption (TFDA) equation, spanned by vector fields, is obtained. One of the generators is singled out in order to extract an invariant solution in a special domain. Conservation laws of TFDA equation are considered by a developed version of Ibragimov’s method. Then the invariant subspace method is used to construct its exact solutions.