GENERAL |
|
|
|
|
Variational Approach for Fractional Diffusion-Wave Equations on Cantor Sets |
WU Guo-Cheng1, WU Kai-Teng2** |
1College of Water Resources and Hydropower, Sichuan University, Chengdu 610065
2Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang 641112 |
|
Cite this article: |
WU Guo-Cheng, WU Kai-Teng 2012 Chin. Phys. Lett. 29 060505 |
|
|
Abstract The fractional variational iteration method is used to investigate the diffusion-wave problem on Cantor sets. The approximate solution is obtained in forms of fractional differentiable functions.
|
Keywords:
05.45.Df
05.30.Pr
|
|
Received: 30 November 2011
Published: 31 May 2012
|
|
|
|
|
|
[1] He J H 1998 Comput. Method. Appl. Mech. Engin. 167 57[2] He J H 1999 Int. J. Non-Linear Mech. 34 699[3] Mainardi F 1996 Appl. Math. Lett. 9 23[4] Kolwankar K M and Gangal A D 1998 Phys. Rev. Lett. 80 214[5] Kolwankar K M and Gangal A D 1996 Chaos 6 505[6] Carpinteri A, Cornetti P and Kolwankar K M 2004 Chaos Solitons Fractals 21 623[7] Chen Y, Yan Y and Zhang K 2010 J. Math. Anal. Appl. 362 17[8] Wu G C 2011 Commun. Frac. Calc. 2 27[9] Jumarie G 2007 Chaos Solitons Fractals 32 969[10] Almeida R, Malinowska A B and Torres D F M 2010 J. Math. Phys. 51 052105[11] Yang X J 2009 MS Dissertation (Xuzhou: China University of Mining and Technology) (in Chinese)[12] Wu G C 2011 Comput. Math. Appl. 61 2186[13] Wu G C and Lee E W M 2010 Phys. Lett. A 374 2506[14] Jumarie G 2009 Appl. Math. Lett. 22 378[15] Jumarie G 2010 Nonlinear Anal. Real World Appl. 11 535[16] Jumarie G 2010 Appl. Math. Lett. 23 1444[17] Carpinteri A, Cornetti P, Sapora A, Di Paola M and Zingales M 2009 Phys. Scripta T136 014003[18] Carpinteri A and Pugno N 2002 Int. J. Numer. Anal. Methods Geomech. 26 499[19] Carpinteri A and Cornetti P 2002 Chaos Solitons Fractals 13 85[20] Ben Adda F and Cresson J 2001 J. Math. Anal. Appl. 263 721[21] Wu G C and Zhang S 2011 Phys. Lett. A 375 5[22] Wu G C 2011 Math. Comput. Model. 54 2104[23] Jumarie G 2009 Chaos Solitons Fractals 41 1590[24] Malinowska A B, Ammi M R S and Torres D F M 2010 Commun. Fract. Calc. 1 32[25] West B J, Bologna M and Grigolini P 2003 Physics of Fractal Operators (New York: Springer)[26] Nottale L 1993 Fractal Spacetime and Microphysics (Singapore: World Scientific)[27] Liao T H and Gao Q 2005 Chin. Phys. Lett. 22 2316[28] Jafari H, Yousefi S A, Firoozjaee M A, Momani S and Khalique C M 2011 Comput. Math. Appl. 62 1038[29] Hristov J 2010 Thermal Sci. 14 291[30] Hristov J 2011 Eur. Phys. J. Special Topics 193 229[31] Meilanov R, Shabanova M and Akhmedov E 2011 Int. Rev. Chem. Eng. 3 810[32] Santos M C, Lenzi E, Gomes E M, Lenzi M K and Lenzi E K 2011 Int. Rev. Chem. Eng. 3 814[33] Kadem A and Baleanu D 2011 Rom. J. Phys. 56 332[34] Kadem A and Baleanu D 2010 Comput. Math. Appl. 59 1865[35] Li C P and Wang Y H 2009 Comput. Math. Appl. 57 1672[36] Wang J W and Chen A M 2010 Chin. Phys. Lett. 27 110501 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|