an:07159291
Zbl 07159291
Lashkarian, Elham; Hejazi, Seyed Reza; Habibi, Noora
A new method for constructing exact solutions for a time-fractional differential equation
EN
Comput. Methods Differ. Equ. 8, No. 1, 194-204 (2020).
00444900
2020
j
34A08 34C14 26A33
Lie point symmetry; fractional calculus; fractional differential equation; exact solution
Summary: 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.