Kurt, AliCenesiz, YucelTasbozan, Orkun2024-09-182024-09-1820152391-5471https://doi.org/10.1515/phys-2015-0045https://hdl.handle.net/20.500.12483/10539Firstly in this article, the exact solution of a time fractional Burgers' equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found by Hopf-Cole transform. Thereafter the approximate analytical solution of the time conformable fractional Burger's equation is determined by using a Homotopy Analysis Method(HAM). This solution involves an auxiliary parameter (h) over bar which we also determine. The numerical solution of Burgers' equation with the analytical solution obtained by using the Hopf-Cole transform is compared.eninfo:eu-repo/semantics/openAccessHopf-Cole TransformTime Fractional Burgers' EquationConformable Fractional DerivativeTime Fractional Heat EquationHomotopy Analysis MethodArticle13135536010.1515/phys-2015-00452-s2.0-84949188184Q2WOS:000369101700028Q4