Iskenderoglu, GulistanKaya, Doğan2021-01-252021-01-2520192645-88452645-8845https://doi.org10.33401/fujma.598107https://app.trdizin.gov.tr/makale/TXpVMU5UZ3pNdz09https://hdl.handle.net/11467/4544Many physical phenomena in nature can be described or modeled via a differential equation or a system of differential equations. In this work, we restrict our attention to research a solution of fractional nonlinear generalized Burgers’ differential equations. Thereby we find some exact solutions for the nonlinear generalized Burgers’ differential equation with a fractional 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 differential equations on the domain $\mathbb{R}^2$ with reduced boundary and initial conditions. Also, we find conservation laws for the nonlinear generalized Burgers’ differential equation.eninfo:eu-repo/semantics/openAccessArticle2213914735558310.33401/fujma.598107