Analytical approach to fractional zakharov-kuznetsov equations by he's homotopy perturbation method

Communications in Theoretical Physics

Volumn 53, Issue 6, 2010, Pages 1005-1010

  Yildirim, Ahmet ^a   Gülkanat, Yagmur ^a  

^a EGE UNIVERSITY   (Turkey)

Author keywords

Caputo sense; fractional calculus; fractional Zakharov Kuznetsov equations; homotopy perturbation method

Indexed keywords

EID: 77953939847     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/53/6/02     Document Type: Article

References (45)

1. Podlubny I 1999 Fractional Differential Equations (Academic Press, New York)
2. He J H 1998 Nonlinear Oscillation with Fractional Derivative and Its Applications Int. Conf. on Vibrating Engineering'98 (Dalian, China) p 288-291
3. He J H 1999 Bull. Sci. Technol. 15 86
4. He J H 1998 Comput. Methods Appl. Mech. Engrg. 167 57
5. Odibat Z and S Momani 2006 Int. J. Nonlinear Sci. Numer. Simul. 7 27
6. Das S 2008 Int. J. Nonlinear Sci. Numerical Simulation 9 361
7. Momani S and Z Odibat 2007 Phys. Lett. A 365 345
8. Ganji Z Z, D D Ganji, H Jafari, et al 2008 Topological Methods Nonlinear Analysis 31 341
9. Yildirim A 2009 Int. J. Nonlinear Sci. Numerical Simulation 10 445
10. Yildirim A 2009 Int. J. Comp. Math. in press
11. Momani S, Z Odibat and I Hashim 2008 Topological Methods Nonlinear Analysis 31 211
12. Odibat Z and S Momani 2008 Topological Methods Nonlinear Analysis 31 227
13. Inc M 2007 Chaos, Solitons Fractals 33 1783
14. Biazar J, F Badpeima and F Azimi 2009 Comput.s Math. with Appl. 58 2391
15. Munro S and E J Parkes 1999 J. Plasma Phys. 62 305
16. Munro S and E J Parkes 2000 J. Plasma Phys. 64 411
17. Zakharov V E and E A Kuznetsov 1974 Sov. Phys. JETP 39 285
18. Korteweg D J and G de Vries 1895 Phil. Mag. 39 422
19. Kadomtsev B B and V I Petviashvilli 1970 Sov. Phys. Dokl. 15 539
20. Grimshaw R H J and Y Zhu 1994 Stud. Appl. Math. 92 249
21. Yulita Molliq R, M S M Noorani and I Hashim 2009 J. Computational and Applied Mathematics in press
22. He J H 1999 Comput. Methods Appl. Mech. Engrg. 178 257
23. He J H 2000 Internat. J. Non-Linear Mech. 35 37
24. Yildirim A and T zi 2007 Phys. Lett. A 369 70
25. Yildirim A 2008 Comput.s Math. with Appl. 56 3175
26. Yildirim A 2008 Int. J. Computer Mathematics in press
27. Yildirim A 2008 Zeitschrift für Naturforschung A 63a 621
28. Yildirim A 2008 Communications in Numerical Methods in Engineering in press
29. Cveticanin L 2006 Chaos, Solitons Fractals 30 1221
30. Biazar J and H Ghazvini Chaos, Solitons and Fractals in press
31. Biazar J and H Ghazvini 2008 Appl. Math. Comput. 195 681
32. Biazar J and H Ghazvini 2007 Phys. Lett. A 366 79
33. Dehghan M and F Shakeri 2008 Progress Electromagnetic Res. PIER 78 361
34. Shakeri F and M Dehghan 2007 Physica Scripta 75 551
35. Dehghan M and F Shakeri 2007 Physica Scripta 75 778
36. Shakeri F and M Dehghan 2008 Math. Comput. Modelling 48 486
37. He J H 2008 Int. J. Mod. Phys. B 22 3487
38. He J H 2008 Topol. Methods Nonlinear Anal. 31 205
39. He J H 2006 Int. J. Mod. Phys. B 20 1141
40. He J H 2006 Int. J. Mod. Phys. B 20 2561
41. Podlubny I 1999 Fractional Differential Equations (Academic Press, San Diego)
42. Miller K S and B Ross 1993 An Introduction to the Fractional Calculus and Fractional Differential Equations (Wiley, New York)
43. Samko S G, A A Kilbas and O I Marichev 1993 Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach, Yverdon)
44. Oldham K B and J Spanier 1974 The Fractional Calculus (Academic Press, New York)
45. Luchko Y and R Gorneflo 1998 The Initial Value Problem for Some Fractional Differential Equations with the Caputo Derivative Preprint series A08-98 (Fachbreich Mathematik und Informatik, Freic Universitat Berlin)