Author/Authors :
Lashkarian, Elham Faculty of Mathematical Sciences - Shahrood University of Technology, Shahrood, Iran , Hejazi, Reza Faculty of Mathematical Sciences - Shahrood University of Technology, Shahrood, Iran , Habibiorcid, Noora Faculty of Mathematical Sciences - Shahrood University of Technology, Shahrood, Iran
Abstract :
In the present paper the process of finding new solutions from previous solutions of a given fractional differential equation (FDE) is considered. For this issue, first we should construct an exact solution by using the symmetry operators of the equation. Then, the commutator brackets of the obtained operators give new solutions from old ones via a systematic method.
Keywords :
Exact solution , Fractional differential equation , Lie point symmetry , Fractional calculus