Optimal System of Subalgebras for the Time Fractional Generalized Burgers Equation
Hassan A. Zedan *
Department of Mathematics, Faculty of Science, Kafr El-Sheikh University, Egypt.
Seham Sh. Tantawy
Department of Mathematics, Faculty of Education, Ain Shams University, Egypt.
Amira R. Abdel-Malek
Department of Basic Science, Faculty of Engineering, Egyptian Russian University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
This article is devoted to use the basic Lie symmetry method to obtain the admitted Lie group of the reduction of Time fractional generalized Burgers equation. One-dimensional and two-dimensional optimal system are determined for symmetry algebras obtained through classification of their subalgebras.Some invariant solutions are also found.
Keywords: Fractional differential equations, time fractional generalized Burgers equation, optimal system of subalgebras