Fractional Homotopy Analysis Transforms Method for Solving a Fractional Heat-Like Physical Model


  • Mohamed KHADER Department of Mathematics, Faculty of Science, Benha University, Benha
  • Sunil KUMAR Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand
  • Saeid ABBASBANDY Department of Mathematics, Imam Khomeini International University, Ghazvin


Heat equation, Fractional derivatives, Analytical solution, Mittag-Leffler function, Laplace transform method, fractional homotopy analysis transform method


The main aim of the present work is to present a new and simple algorithm for time fractional heat like physical models by using the new fractional homotopy analysis transform method (FHATM). The proposed method is an innovative adjustment in the Laplace transform algorithm (LTA) for fractional partial differential equations and makes the calculation much simpler. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. A good agreement between the obtained solution and some well-known results has been obtained.


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How to Cite

KHADER, M., KUMAR, S., & ABBASBANDY, S. (2015). Fractional Homotopy Analysis Transforms Method for Solving a Fractional Heat-Like Physical Model. Walailak Journal of Science and Technology (WJST), 13(5), 337–353. Retrieved from

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