Title of article
A new method for constructing exact solutions for a time-fractional differential equation
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
Pages
11
From page
194
To page
204
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
Journal title
Astroparticle Physics
Serial Year
2020
Record number
2464776
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