Document Type : Research Paper
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.
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.