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.
Lashkarian, E., Hejazi, S. R., & Habibi, N. (2020). A new method for constructing exact solutions for a time-fractional differential equation. Computational Methods for Differential Equations, 8(1), 194-204. doi: 10.22034/cmde.2019.9525
MLA
Elham Lashkarian; Seyed Reza Hejazi; Noora Habibi. "A new method for constructing exact solutions for a time-fractional differential equation". Computational Methods for Differential Equations, 8, 1, 2020, 194-204. doi: 10.22034/cmde.2019.9525
HARVARD
Lashkarian, E., Hejazi, S. R., Habibi, N. (2020). 'A new method for constructing exact solutions for a time-fractional differential equation', Computational Methods for Differential Equations, 8(1), pp. 194-204. doi: 10.22034/cmde.2019.9525
VANCOUVER
Lashkarian, E., Hejazi, S. R., Habibi, N. A new method for constructing exact solutions for a time-fractional differential equation. Computational Methods for Differential Equations, 2020; 8(1): 194-204. doi: 10.22034/cmde.2019.9525