Invariance of fractional differential equations under the Lie group

• Date: 2017 Feb 27
• Authors: نعمت اله کدخدا
• Keywords: Fractional differential equation; Lie group; Group-invariant solutions.

Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript firstly, we are interested in finding the Lie point symmetries of the time-fractional Sawada equation. After that by using the innitesimal generators, we determine their corresponding invariant solutions.