Exact solution of time-fractional partial differential equations using Laplace transform

  • Authors

    • Naser Al-Qutaifi Gulf University for Science & Technology
    2016-02-26
    https://doi.org/10.14419/ijbas.v5i1.5665
  • Abel’s Integral Equation, Caputo’s Fractional Derivative, Laplace Transform.

  • The idea of replacing the first derivative in time by a fractional derivative of order , where , leads to a fractional generalization of any partial differential equations of integer order. In this paper, we obtain a relationship between the solution of the integer order equation and the solution of its fractional extension by using the Laplace transform method.

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  • How to Cite

    Al-Qutaifi, N. (2016). Exact solution of time-fractional partial differential equations using Laplace transform. International Journal of Basic and Applied Sciences, 5(1), 86-89. https://doi.org/10.14419/ijbas.v5i1.5665