Application of the extended exp(-φ(ξ))-expansion method to the nonlinear conformable time-fractional partial differential equations

  • Authors

    • Dipankar Kumar Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj-8100.
    • Samir Chandra Ray
    2019-08-25
    https://doi.org/10.14419/ijpr.v7i2.19984
  • Conformable Fractional Derivative, Extended Exp(-Φ(Ξ))-Expansion Method, Exact Solution, Time Fractional CRWP Equation, Time Fractional BBM-Burger Equation, Time Fractional Modified Kawahara Equation.

  • Abstract

    This paper investigates the new exact solutions of the three nonlinear time fractional partial differential equations namely the nonlinear time fractional Clannish Random Walker’s Parabolic (CRWP) equation, the nonlinear time fractional modified Kawahara equation, and the nonlinear time fractional BBM-Burger equation by utilizing an extended form of exp(-φ(ξ))-expansion method in the sense of conformable fractional derivative. As outcomes, some new exact solutions are obtained and signified by hyperbolic function solutions, trigonometric function solutions, and rational function solutions. Some solutions have been plotted by MATLAB software to show the physical significance of our studied equations. In the point of view of our executed method and generated results, we may conclude that extended exp (-φ(ξ))-expansion method is more efficient than exp(-φ(ξ))-expansion method to extract the new exact solutions for solving any types of integer and fractional differential equations arising in mathematical physics.

     

     

     

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  • How to Cite

    Kumar, D., & Chandra Ray, S. (2019). Application of the extended exp(-φ(ξ))-expansion method to the nonlinear conformable time-fractional partial differential equations. International Journal of Physical Research, 7(2), 81-93. https://doi.org/10.14419/ijpr.v7i2.19984

    Received date: 2018-09-21

    Accepted date: 2019-02-21

    Published date: 2019-08-25