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2013 | 11 | 10 | 1392-1398
Tytuł artykułu

Variational iteration method - a promising technique for constructing equivalent integral equations of fractional order

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The variational iteration method is newly used to construct various integral equations of fractional order. Some iterative schemes are proposed which fully use the method and the predictor-corrector approach. The fractional Bagley-Torvik equation is then illustrated as an example of multi-order and the results show the efficiency of the variational iteration method’s new role.
Wydawca

Czasopismo
Rocznik
Tom
11
Numer
10
Strony
1392-1398
Opis fizyczny
Daty
wydano
2013-10-01
online
2013-12-19
Bibliografia
  • [1] K. Diethelm, N. J. Ford, Appl. Math. Comput. 154, 621 (2004) http://dx.doi.org/10.1016/S0096-3003(03)00739-2[Crossref]
  • [2] F. W. Liu, V. Anh, I. Turner, J. Comput. Appl. Math. 166, 209 (2004) http://dx.doi.org/10.1016/j.cam.2003.09.028[Crossref]
  • [3] C. Tadjeran, M. M. Meerschaert, H. P. Scheffler, J. Comput. Phys. 213, 205 (2006) http://dx.doi.org/10.1016/j.jcp.2005.08.008[Crossref]
  • [4] W. H. Deng, J. Comput. Phys. 227, 1510 (2007) http://dx.doi.org/10.1016/j.jcp.2007.09.015[Crossref]
  • [5] X. J. Li, C. J. Xu, SIAM J. Numer. Anal. 47, 2108 (2009) http://dx.doi.org/10.1137/080718942[Crossref]
  • [6] C. P. Li, F. H. Zeng, Int. J. Bifur. Chao. 22, 1230014 (2012) http://dx.doi.org/10.1142/S0218127412300145[Crossref]
  • [7] H. G. Sun, W. Chen, Y. Q. Chen, Physica A 388, 4586 (2009) http://dx.doi.org/10.1016/j.physa.2009.07.024[Crossref]
  • [8] N. T. Shawagfeh, Appl. Math. Comput. 131, 517 (2002) http://dx.doi.org/10.1016/S0096-3003(01)00167-9[Crossref]
  • [9] H. Jafari, V. Daftardar-Gejji, Appl. Math. Comput. 180, 488 (2006) http://dx.doi.org/10.1016/j.amc.2005.12.031[Crossref]
  • [10] J. S. Duan, R. Rach, D. Baleanu, A. M. Wazwaz, Commun. Frac. Calc. 3, 73 (2012)
  • [11] Q. Wang, Chaos, Soliton. Fractal. 35, 843 (2008) http://dx.doi.org/10.1016/j.chaos.2006.05.074[Crossref]
  • [12] S. Momani, Z. Odibat, Phys. Lett. A 365, 345 (2007) http://dx.doi.org/10.1016/j.physleta.2007.01.046[Crossref]
  • [13] J. H. He, Comput. Meth. Appl. Mech. Engr. 167, 57 (1998) http://dx.doi.org/10.1016/S0045-7825(98)00108-X[Crossref]
  • [14] G. C. Wu, D. Baleanu, Appl. Math. Model. 37, 6183 (2013) http://dx.doi.org/10.1016/j.apm.2012.12.018[Crossref]
  • [15] I. Podlubny, Fractional Differential Equations (Academic Press, New York, 1999)
  • [16] A. A. Kilbas, H. M. Srivastav, J. J. Trujillo, Theory and applications of fractional differential equations (Elsevier, New York, 2006)
  • [17] D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo, Fractional calculus models and numerical methods (World Scientific, Singapore, 2012)
  • [18] G. C. Wu, D. Baleanu, Adv. Diff. Equa. 2013, 18 (2013) http://dx.doi.org/10.1186/1687-1847-2013-18[Crossref]
  • [19] G. C. Wu, D. Baleanu, Adv. Diff. Equa. 2013, 21 (2013) http://dx.doi.org/10.1186/1687-1847-2013-21[Crossref]
  • [20] J. H. He, Int. J. Mod. Phys. B 20, 1141 (2006) http://dx.doi.org/10.1142/S0217979206033796[Crossref]
  • [21] J. H. He, Abstr. Appl. Anal. 2012, 916793 (2012)
  • [22] A. Ghorbani, Comput. Meth. Appl. Mech. Engr. 197, 4173 (2007) http://dx.doi.org/10.1016/j.cma.2008.04.015[Crossref]
  • [23] J. H. He, X. H. Wu, Comput. Math. Appl. 54, 881 (2007) http://dx.doi.org/10.1016/j.camwa.2006.12.083[Crossref]
  • [24] J. H. He, J. Comput. Appl. Math. 207, 3 (2007) http://dx.doi.org/10.1016/j.cam.2006.07.009[Crossref]
  • [25] S. A. Khuri, A. Sayfy, Appl. Math. Lett. 25, 2298 (2012) http://dx.doi.org/10.1016/j.aml.2012.06.020[Crossref]
  • [26] H. Jafari, M. Saeidy, D. Baleanu, Cent. Eur. J. Phys. 10, 76 (2012) http://dx.doi.org/10.2478/s11534-011-0083-7[Crossref]
  • [27] H. Jafari, C. M. Khalique, Commun. Frac. Calc. 3, 38 (2012)
  • [28] K. Diethelm, The Analysis of Fractional Differential Equations (Springer-Verlag, New York, 2004)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0207-3
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