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  1. 1 2015

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  1. 1 Kurt A.

  2. 1 Tasbozan O.

  3. 1 Çenesiz Y.

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On the Solution of Burgers’ Equation with the New Fractional Derivative

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Kurt A., Çenesiz Y., Tasbozan O.
Open Physics
|
2015
|
vol. 13
|
issue 1
EN
Firstly 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 byHopf-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 ~ which we also determine. The numerical solution of Burgers’ equation with the analytical solution obtained by using the Hopf-Cole transform is compared.
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