A new method for constructing exact solutions for a time-fractional differential equation

نویسندگان
Lashkarian, Elham ID 1
Hejazi, Seyed Reza ID 2
Habibi, Noora ID 3

1 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.

2 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.

3 Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran.

doi
10.22034/cmde.2019.9525
چکیده

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.

کلیدواژه‌ها
Lie point symmetry, fractional calculus, fractional differential equation, Exact solution