Akademik Veri Yönetim Sistemi
Fundamental journal of mathematics and applications (Online), cilt.2, sa.2, ss.139-147, 2019 (Hakemli Dergi)
Many physical phenomena in nature can be described or modeled via a differential equationor a system of differential equations. In this work, we restrict our attention to research asolution of fractional nonlinear generalized Burgers’ differential equations. Thereby wefind some exact solutions for the nonlinear generalized Burgers’ differential equation with afractional derivative, which has domain as $mathbb{R}^2$ ×$mathbb{R}^+$. Here we use the Lie groups method.After applying the Lie groups to the boundary value problem we get the partial differentialequations on the domain $mathbb{R}^2$ with reduced boundary and initial conditions. Also, we findconservation laws for the nonlinear generalized Burgers’ differential equation.