Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2012 | 10 | 1 | 76-85

Article title

The variational iteration method for solving n-th order fuzzy differential equations

Content

Title variants

Languages of publication

EN

Abstracts

EN
The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method for solving linear and nonlinear equations. In this paper, the variational iteration method has been applied in solving nth-order fuzzy linear differential equations with fuzzy initial conditions. This method is illustrated by solving several examples.

Publisher

Journal

Year

Volume

10

Issue

1

Pages

76-85

Physical description

Dates

published
1 - 2 - 2012
online
3 - 12 - 2011

Contributors

  • Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran
  • Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran
  • Department of Mathematics and Computer Science, Çankaya University, 06530, Balgat, Ankara, Turkey

References

  • [1] A. Kandel, In: P. P. Wang, S. K. Chang (Eds.), Fuzzy sets theory and application to policy analysis and information systems (Plenum Press, New York, 1980) 93
  • [2] A. Kandel, W. J. Byatt, Proceedings of the international conference on cybernetics and society, Nov. 1978, Tokyo, 1213
  • [3] M. A. Abdou, A. A. Soliman, J. Comput. Appl. Math. 181, 245 (2005) http://dx.doi.org/10.1016/j.cam.2004.11.032[Crossref]
  • [4] M. A. Abdou, A. A. Soliman, Physica D 211, 1 (2005) http://dx.doi.org/10.1016/j.physd.2005.08.002[Crossref]
  • [5] S. Momani, S. Abuasad, Chaos, Soliton. Fract. 27, 119 (2006) http://dx.doi.org/10.1016/j.chaos.2005.04.113[Crossref]
  • [6] H. T. Nguyen, J. Math. Anal. Appl. 64, 369 (1978) http://dx.doi.org/10.1016/0022-247X(78)90045-8[Crossref]
  • [7] J. H. He, J. Comput. Appl. Math. 207, 3 (2007) http://dx.doi.org/10.1016/j.cam.2006.07.009[Crossref]
  • [8] J. H. He, Chaos Soliton. Fract. 19, 847 (2004) http://dx.doi.org/10.1016/S0960-0779(03)00265-0[Crossref]
  • [9] J. H. He, Appl. Math. Comput. 114, 115 (2000) http://dx.doi.org/10.1016/S0096-3003(99)00104-6[Crossref]
  • [10] J. H. He, Int. J. Mod. Phys. B 20, 1141 (2006) http://dx.doi.org/10.1142/S0217979206033796[Crossref]
  • [11] S. Q. Wang, J. H. He, Phys. Lett. A 367, 188 (2007) http://dx.doi.org/10.1016/j.physleta.2007.02.049[Crossref]
  • [12] M. Inokuti et al., In: S. Nemat-Nasser (Ed.), Variational method in the mechanics of solids (Pergamon Press, Oxford, 1978) 156
  • [13] A. M. Wazwaz, Comput. Math. Appl. 54, 926 (2007) http://dx.doi.org/10.1016/j.camwa.2006.12.038[Crossref]
  • [14] A. M. Wazwaz, J. Comput. Appl. Math. 207, 18 (2007) http://dx.doi.org/10.1016/j.cam.2006.07.010[Crossref]
  • [15] B. Bede, I. J. Rudas, A. L. Bencsik, Inform. Sciences 177, 1648 (2007) http://dx.doi.org/10.1016/j.ins.2006.08.021[Crossref]
  • [16] D. Dubois, H. Prade, Fuzzy Set. Syst. 8, 225 (1982) http://dx.doi.org/10.1016/S0165-0114(82)80001-8[Crossref]
  • [17] J. Y. Park, Y. C. Kwan, J. V. Jeong, Fuzzy Set. Syst. 72, 373 (1995) http://dx.doi.org/10.1016/0165-0114(94)00296-J[Crossref]
  • [18] J. J. Buckley, T. Feuring, Fuzzy Set. Syst. 121, 247 (2001) http://dx.doi.org/10.1016/S0165-0114(00)00028-2[Crossref]
  • [19] J. J. Buckley, Simulating continuous fuzzy systems (Springer, Heildelberg, 2006)
  • [20] J. J. Buckley, T. Feuring, Fuzzy Set. Syst. 105, 241 (1999) http://dx.doi.org/10.1016/S0165-0114(98)00323-6[Crossref]
  • [21] J. J. Buckley, T. Feuring, Fuzzy Set. Syst. 110, 43 (2000) http://dx.doi.org/10.1016/S0165-0114(98)00141-9[Crossref]
  • [22] L. J. Jowers, J. J. Buckley, K. D. Reilly, Inform. Sciences 177, 436 (2007) http://dx.doi.org/10.1016/j.ins.2006.03.005[Crossref]
  • [23] O. Kaleva, Fuzzy Set. Syst. 35, 389 (1990) http://dx.doi.org/10.1016/0165-0114(90)90010-4[Crossref]
  • [24] O. Kaleva, Fuzzy Set. Syst. 56, 297 (1993) http://dx.doi.org/10.1016/0165-0114(93)90209-Z[Crossref]
  • [25] Z. Ding, M. Ma, A. Kandel, Inform. Sciences 99, 205 (1997) http://dx.doi.org/10.1016/S0020-0255(96)00279-4[Crossref]
  • [26] O. He, W. Yi, Fuzzy Set. Syst. 24, 321 (1989). http://dx.doi.org/10.1016/0165-0114(89)90264-9[Crossref]
  • [27] O. Kaleva, Fuzzy Set. Syst. 24, 301 (1987) http://dx.doi.org/10.1016/0165-0114(87)90029-7[Crossref]
  • [28] P. Kloeden, Fuzzy Set. Syst. 44, 161 (1991) http://dx.doi.org/10.1016/0165-0114(91)90041-N[Crossref]
  • [29] R. Goetschel, W. Voxman, Fuzzy Set. Syst. 18, 31 (1986) http://dx.doi.org/10.1016/0165-0114(86)90026-6[Crossref]
  • [30] S. Abbasbandy, T. Allahviranloo, Comput. Meth. Appl. Math. 2, 113 (2002)
  • [31] S. Seikkala, Fuzzy Set. Syst. 24, 319 (1987) http://dx.doi.org/10.1016/0165-0114(87)90030-3[Crossref]
  • [32] S. L. Chang, L. A. Zadeh? IEEE T. Syst. Man Cy. 2, 330 (1972)
  • [33] T. Allahviranloo, E. Ahmady, N. Ahmady, Inform. Sciences 178, 1309 (2008) http://dx.doi.org/10.1016/j.ins.2007.10.013[Crossref]
  • [34] T. Allahviranloo, N. Ahmady, E. Ahmady, Inform. Sciences 177, 1633 (2007) http://dx.doi.org/10.1016/j.ins.2006.09.015[Crossref]
  • [35] W. Congxin, S. Shiji, Inform. Sciences 108, 123 (1998) http://dx.doi.org/10.1016/S0020-0255(97)10064-0[Crossref]
  • [36] W. Menda, J. Fuzzy Syst. Math. 2, 51 (1988) (in Chinese)
  • [37] H. Jafari, A. Alipoor, Numer. Meth. Part. D. E. 27, 996 (2011) http://dx.doi.org/10.1002/num.20567[Crossref]
  • [38] A. M. Wazwaz, Int. J. Comput. Math. 87, 1131 (2010) http://dx.doi.org/10.1080/00207160903124967[Crossref]
  • [39] S. Abbasbandy, T. Allahviranloo, P. Darabi, O. Sedaghatfar, Math. Comput. Appl. 16, 819 (2011)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-011-0083-7
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.