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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 934060, 8 pages
http://dx.doi.org/10.1155/2013/934060
Research Article

Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform

1Department of Mathematics, Jagannath University, Rampura, Chaksu, Jaipur, Rajasthan 303901, India
2Department of Mathematics, Jagannath Gupta Institute of Engineering & Technology, Jaipur, Rajasthan 302022, India
3Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Received 12 September 2012; Revised 19 November 2012; Accepted 6 December 2012

Academic Editor: Lan Xu

Copyright © 2013 Jagdev Singh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [8 citations]

The following is the list of published articles that have cited the current article.

  • Sushila, Jagdev Singh, and Y.S. Shishodia, “A reliable approach for two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability using sumudu transform,” Ain Shams Engineering Journal, 2013. View at Publisher · View at Google Scholar
  • A. Basiri Parsa, M.M. Rashidi, O. Anwar Bég, and S.M. Sadri, “Semi-computational simulation of magneto-hemodynamic flow in a semi-porous channel using optimal homotopy and differential transform methods,” Computers in Biology and Medicine, 2013. View at Publisher · View at Google Scholar
  • Sushila, Jagdev Singh, and Y.S. Shishodia, “A modified analytical technique for Jeffery–Hamel flow using sumudu transform,” Journal of the Association of Arab Universities for Basic and Applied Sciences, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Dumitru Baleanu, “Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Asma Ali Elbeleze, Adem Kiliçman, and Bachok M. Taib, “Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform,” Mathematical Problems in Engineering, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Adem Kiliçman, “The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations,” Abstract and Applied Analysis, vol. 2013, pp. 1–12, 2013. View at Publisher · View at Google Scholar
  • Xiang Hong, Jun Wang, and Li-xin Lu, “Application of Homotopy Perturbation Method with an Auxiliary Term for Nonlinear Dropping Equations Arisen in Polymer Packaging System,” Mathematical Problems in Engineering, vol. 2013, pp. 1–5, 2013. View at Publisher · View at Google Scholar
  • Devendra Kumar, Jagdev Singh, and Sunil Kumar, “Numerical computation of fractional multi-dimensional diffusion equations by using a modified homotopy perturbation method,” Journal of the Association of Arab Universities for Basic and Applied Sciences, 2014. View at Publisher · View at Google Scholar