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

• Authors: Ali Kurt , Yücel Çenesiz , Orkun Tasbozan
• Languages of publication: EN

Abstracts

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.

Keywords

EN

Hopf-Cole Transform; Time Fractional Burgers’Equation; Conformable Fractional Derivative; Time FractionalHeat Equation; Homotopy Analysis Method

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

accepted

10 - 11 - 2015

received

25 - 8 - 2015

online

4 - 12 - 2015

Contributors

author

Ali Kurt

• Department of Mathematics,
  Mustafa Kemal University, Hatay, Türkiye

author

Yücel Çenesiz

• Department of Mathematics, Selçuk University,
  Konya, Türkiye

author

Orkun Tasbozan

• Department of Mathematics,
  Mustafa Kemal University, Hatay, Türkiye

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Identifiers

DOI

10.1515/phys-2015-0045