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Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay

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  • Brajesh Kumar Singh
  • Pramod Kumar

Abstract

This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions are found to converge to exact solution rapidly. To confirm the efficiency and validity of FRDTM, the computation of three test problems of TFPDEs with proportional delay was presented. The scheme seems to be very reliable, effective, and efficient powerful technique for solving various types of physical models arising in science and engineering.

Suggested Citation

  • Brajesh Kumar Singh & Pramod Kumar, 2017. "Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay," International Journal of Differential Equations, Hindawi, vol. 2017, pages 1-11, March.
    • Handle: RePEc:hin:jnijde:5206380
    DOI: 10.1155/2017/5206380
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    Cited by:

    1. Chen, Zhong & Gou, QianQian, 2019. "Piecewise Picard iteration method for solving nonlinear fractional differential equation with proportional delays," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 465-478.

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