A generalized fractional sub-equation method for fractional differential equations with variable coefficients

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

Volumn 376, Issue 38-39, 2012, Pages 2588-2590

  Tang, Bo ^a   He, Yinnian ^a,b   Wei, Leilei ^a   Zhang, Xindong ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b XINJIANG NORMAL UNIVERSITY   (China)

Author keywords

Fractional differential equation; Generalized fractional sub equation method; Modified Riemann Liouville derivative

Indexed keywords

HYPERBOLIC FUNCTIONS; RATIONAL FUNCTIONS;

FRACTIONAL DIFFERENTIAL EQUATIONS; GENERALIZED FRACTIONAL SUB-EQUATION METHOD; MATHEMATICAL PHYSICS; MATHEMATICAL TOOLS; MODIFIED RIEMANN-LIOUVILLE DERIVATIVE; RATIONAL SOLUTION; TRIGONOMETRIC FUNCTION SOLUTIONS; VARIABLE COEFFICIENTS;

DIFFERENTIAL EQUATIONS;

EID: 84864671185     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2012.07.018     Document Type: Article

References (33)

1. A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo Theory and Applications of Fractional Differential Equations 2006 Elsevier Amsterdam
2. R. Hilfer Applications of Fractional Calculus in Physics 2000 World Scientific New Jersey
3. B.J. West, M. Bolognab, and P. Grigolini Physics of Fractal Operators 2003 Springer New York
4. K.S. Miller, and B. Ross An Introduction to the Fractional Calculus and Fractional Differential Equations 1993 Wiley New York
5. S.G. Samko, A.A. Kilbas, and O.I. Marichev Fractional Integrals and Derivatives: Theory and Applications 1993 Gordon and Breach Yverdon
6. I. Podlubny Fractional Differential Equations 1999 Academic Press San Diego
7. C. Li, A. Chen, and J. Ye J. Comput. Phys. 230 2011 3352
8. M. Cui J. Comput. Phys. 228 2009 7792
9. Q. Huang, G. Huang, and H. Zhan Adv. Water Resour. 31 2008 1578
10. S. Momani, Z. Odibat, and V. Erturk Phys. Lett. A 370 2007 379
11. Z. Odibat, and S. Momani Appl. Math. Lett. 21 2008 194
12. Y. Hu, Y. Luo, and Z. Lu J. Comput. Appl. Math. 215 2008 220
13. A.M.A. El-Sayed, and M. Gaber Phys. Lett. A 359 2006 175
14. A.M.A. El-Sayed, S.H. Behiry, and W.E. Raslan Comput. Math. Appl. 59 2010 1795
15. J.H. He Commun. Nonlinear Sci. Numer. Simul. 2 1997 235
16. Z. Odibat, and S. Momani Comput. Math. Appl. 58 2009 2199
17. M. Inc J. Math. Anal. Appl. 345 2008 476
18. G. Wu, and E.W.M. Lee Phys. Lett. A 374 2010 2506
19. J.H. He Comput. Methods Appl. Mech. Engrg. 178 1999 257
20. J.H. He Int. J. Nonlinear Mech. 35 2000 37
21. S. Zhang, and H. Zhang Phys. Lett. A 375 2011 1069
22. M. Wang Phys. Lett. A 199 1995 169
23. G. Jumarie Comput. Math. Appl. 51 2006 1367
24. G. Jumarie J. Appl. Math. Comput. 24 2007 31
25. G. Jumarie Appl. Math. Lett. 23 2010 1444
26. S. Guo, L. Mei, Y. Li, and Y. Sun Phys. Lett. A 376 2012 407
27. L.H. Zhang, L.H. Dong, and L.M. Yan Appl. Math. Comput. 203 2008 784
28. L. Wei Appl. Math. Comput. 217 2010 1632
29. Z. Fu, S. Liu, and S. Liu Chaos Solitons Fractals 20 2004 301
30. G. Xu, Z. Li, and Y. Liu Chinese J. Phys. 41 3 2003 232
31. Z. Yan MM Res. 22 2003 363
32. D. Baldwin, U. Goktas, W. Hereman, L. Hong, R.S. Martino, and J.C. Miller J. Symb. Comput. 37 2004 669
33. W. Hereman, and A. Nuseir Math. Comput. Simul. 43 1997 13