Fractional variational iteration method and its application

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 374, Issue 25, 2010, Pages 2506-2509

  Wu, Guo cheng ^a   Lee, E W M ^b  

^a DONGHUA UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Fractional functional; Fractional variational iteration method; Modified Riemann Liouville derivative

Indexed keywords

DIFFERENTIAL EQUATIONS;

FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL FUNCTIONAL; ITS APPLICATIONS; MODIFIED RIEMANN-LIOUVILLE DERIVATIVE; VARIATIONAL ITERATION METHOD;

ITERATIVE METHODS;

EID: 77953478991     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2010.04.034     Document Type: Article

References (31)

1. He J.H. Comput. Methods Appl. Mech. Eng. 167 1-2 (1998) 57
2. He J.H. Comput. Methods Appl. Mech. Eng. 167 1-2 (1998) 69
3. He J.H. Int. J. Nonlinear Mech. 34 4 (1999) 699
4. He J.H. Appl. Math. Comput. 114 2-3 (2000) 115
5. Wazwaz A.M. Comput. Math. Appl. 41 10-11 (2001) 1237
6. Draganescu G.E., and Capalnasan V. Int. J. Nonlinear Sci. 4 3 (2003) 219
7. Draganescu G.E., Cofan N., and Rujan D.L. J. Optoelectron. Adv. Mater. 7 2 (2005) 877
8. Abdou M.A., and Soliman A.A. Physica D 211 1-2 (2005) 1
9. Abdou M.A., and Soliman A.A. J. Comput. Appl. Math. 181 2 (2005) 245
10. Abulwafa E.M., Abdou M.A., and Mahmoud A.A. Chaos Solitons Fractals 29 2 (2006) 313
11. Soliman A.A. Math. Comput. Simulat. 70 2 (2005) 119
12. Momani S., and Odibat Z. Phys. Lett. A 355 4-5 (2006) 271
13. Odibat Z.M., and Momani S. Int. J. Nonlinear Sci. 7 1 (2006) 27
14. He J.H., Wu G.C., and Austin F. Nonlinear Sci. Lett. A 1 1 (2010) 1
15. Jumarie G. Int. J. Syst. Sci. 6 (1993) 1113
16. Jumarie G. Math. Comput. Model. 44 (2006) 231
17. Jumarie G. Appl. Math. Lett. 22 (2009) 1659
18. Jumarie G. Comput. Math. Appl. 51 (2006) 1367
19. Wu G.C., and He J.H. Nonlinear Sci. Lett. A 1 3 (2010) 281
20. Roman H.E., and Alemany P.A. J. Phys. A - Math. Gen. 27 (1994) 3407
21. Fujita Y. Osaka J. Math. 27 2 (1990) 309
22. Fujita Y. Osaka J. Math. 27 4 (1990) 797
23. Oldham K.B., and Spanier J. The Fractional Calculus (1999), Academic Press, New York
24. Gorenflo R., and Mainardi F. Fractional Calculus Appl. Anal. 1 (1998) 167
25. Tadjeran C., Meerschaert M.M., and Scheffler H.P. J. Comput. Phys. 213 (2006) 205
26. Mainardi F. Chaos Solitons Fractals 7 9 (1996) 1461
27. Mainardi F. Appl. Math. Lett. 9 6 (1996) 23
28. Agarwal O.P. Nonlinear Dynam. 29 (2002) 145
29. Al-Khaled K., and Momani S. Appl. Math. Comput. 165 2 (2005) 473
30. Ozdemir N., and Karadeniz D. Phys. Lett. A 372 38 (2008) 5968
31. Das S. Comput. Math. Appl. 57 3 (2009) 483