## International Journal of Differential Equations

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

#### 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.

#### Article information

Source
Int. J. Differ. Equ., Volume 2017, Special Issue (2017), Article ID 5206380, 11 pages.

Dates
Accepted: 12 January 2017
First available in Project Euclid: 12 April 2017

https://projecteuclid.org/euclid.ijde/1491962508

Digital Object Identifier
doi:10.1155/2017/5206380

Mathematical Reviews number (MathSciNet)
MR3628130

Zentralblatt MATH identifier
06915938

#### Citation

Singh, Brajesh Kumar; Kumar, Pramod. Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay. Int. J. Differ. Equ. 2017, Special Issue (2017), Article ID 5206380, 11 pages. doi:10.1155/2017/5206380. https://projecteuclid.org/euclid.ijde/1491962508

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