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Mathematical Problems in Engineering
Volume 2015, Article ID 871635, 6 pages
http://dx.doi.org/10.1155/2015/871635
Research Article

Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation

1Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch, El-Kharja 72511, Egypt
2Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia
3Department of Mathematics, Faculty of Science, Qassim University, Buraydah 51452, Saudi Arabia

Received 27 May 2014; Revised 25 August 2014; Accepted 26 August 2014

Academic Editor: Zhong-Ke Gao

Copyright © 2015 Emad A.-B. Abdel-Salam and Zeid I. A. Al-Muhiameed. 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 [10 citations]

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

  • Emad A.-B. Abdel-Salam, and Gamal F. Hassan, “Multi-wave solutions of the space–time fractional Burgers and Sharma–Tasso–Olver equations,” Ain Shams Engineering Journal, 2015. View at Publisher · View at Google Scholar
  • Emad Abdel-Baki Abdel-Salam, and Gamal Fargahly Hassan, “Multiwave solutions of fractional 4th and 5th order Burgers equations,” Turkish Journal of Physics, vol. 39, no. 3, pp. 227–241, 2015. View at Publisher · View at Google Scholar
  • E. A-B. Abdel-Salam, and M. I. Nouh, “Approximate Solution to the Fractional Second-Type Lane-Emden Equation,” Astrophysics, 2016. View at Publisher · View at Google Scholar
  • S. Sahoo, and S. Saha Ray, “A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves,” Mathematical Methods in the Applied Sciences, 2016. View at Publisher · View at Google Scholar
  • Emad A-B. Abdel-Salam, and Gamal F. Hassan, “Study on the variable coefficient space–time fractional Korteweg de Vries equation,” Ain Shams Engineering Journal, 2016. View at Publisher · View at Google Scholar
  • Emad A-B. Abdel-Salam, Eltayeb A. Yousif, and Mostafa A. El-Aasser, “Analytical Solution of the Space-Time Fractional Nonlinear Schrödinger Equation,” Reports on Mathematical Physics, vol. 77, no. 1, pp. 19–34, 2016. View at Publisher · View at Google Scholar
  • Emad A-B. Abdel-Salam, and Gamal F. Hassan, “Solutions to Class of Linear and Nonlinear Fractional Differential Equations,” Communications in Theoretical Physics, vol. 65, no. 2, pp. 127–135, 2016. View at Publisher · View at Google Scholar
  • M. I. Nouh, and Emad A.-B. Abdel-Salam, “Approximate Solution to the Fractional Lane–Emden Type Equations,” Iranian Journal of Science and Technology, Transactions A: Science, 2017. View at Publisher · View at Google Scholar
  • E.A. Yousif, E.A-B. Abdel-Salam, and M.A. El-Aasser, “On the solution of the space–time fractional cubic nonlinear Schrödinger equation,” Results in Physics, 2017. View at Publisher · View at Google Scholar
  • Ji Juan-Juan, Guo Ye-Cai, Zhang Lan-Fang, and Zhang Chao-Long, “A Table Lookup Method for Exact Analytical Solutions of Nonlinear Fractional Partial Differential Equations,” Mathematical Problems in Engineering, vol. 2017, pp. 1–14, 2017. View at Publisher · View at Google Scholar