Optimal System of Subalgebras for the Time Fractional Generalized Burgers Equation

Hassan A. Zedan; Seham Sh. Tantawy; Amira R. Abdel-Malek

doi:10.9734/ARJOM/2018/41334

Research Article Open access CC BY 4.0

Optimal System of Subalgebras for the Time Fractional Generalized Burgers Equation

Hassan A. Zedan, Seham Sh. Tantawy, Amira R. Abdel-Malek

Asian Research Journal of Mathematics · pp. 1–23 · Published 1 Dec 2018

10.9734/ARJOM/2018/41334

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.

Fractional differential equations time fractional generalized Burgers equation optimal system of subalgebras

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Hassan A. Zedan, Seham Sh. Tantawy, Amira R. Abdel-Malek (2018). Optimal System of Subalgebras for the Time Fractional Generalized Burgers Equation. Asian Research Journal of Mathematics , 1–23. https://doi.org/10.9734/ARJOM/2018/41334

Affiliations

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.

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