On fractional coupled whitham-broer-kaup equations

Romanian Reports of Physics

Volumn 56, Issue 5-6, 2011, Pages 629-635

  Kadem, Abdelouahab ^a   Baleanu, Dumitru ^b  

^a FERHAT ABBAS UNIVERSITY   (Algeria)

^b CANKAYA UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79959998825     PISSN: 1221146X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. I. Podlubny, Fractional differential equation, Academic Press, San Diego, (1999).
2. G. Samko, A.A. Kilbas, O.I. Marichev, Fractional integrals and derivatives: Theory and Applications. Gordon and Breach, Yverdon, (1993).
3. B. J. West, M. Bologna, P. Grogolini, Physics of fractal operators, Springer, New York, (2003).
4. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) (2006).
5. G.B. Whitham, Proc.Royal Soc.Lond. A 299, 6 (1967).
6. L.J.F. Broer, Appl. Scient. Res. 31(5), 377 (1975).
7. D. J. Kaup, Prog. Theor. Phys. 54(2), 396 (1975).
8. M. M. Rashidi, D. D. Ganji, S. Dinarvand, Diff. Equ. Nonlin. Mech. Vol. 2008, Article ID 243459, 8 pages, doi:10.1155/2008/243459.
9. H.Z. Li, B. Tian, L. L. Li, H. Q. Zhang, T. Xu, Physica Scripta, 78(6), 065001, (2008).
10. Z. Zheng, W.R. Shan, Appl. Math. Comp. 215(6), 2390 (2009).
11. A. Kadem, D. Baleanu, in press. Comput. Math. Appl. (2010).
12. A. Kadem, D. Baleanu, Commun. Nonlin. Sci. Numer. Simul. 15(3), 491 (2010).
13. J. H. He, Compt. Meth. Appl. Mech. Eng. 178, 257 (1999).
14. J. H. He, Int. J. Non-Lin. Mech. 35(1), 37 (2000).
15. J. H. He, Appl. Math. Comput. 135, 73 (2003).
16. S. J. Liao, Int. J. Non-Lin. Mech. 30(3), 371 (1995).
17. S. J. Liao, Eng. Anal. Bound. Elem. 20(2), 91 (1997).