International Journal of Fuzzy Logic and Intelligent Systems

  • 제9권4호
  • /
  • Pages.339-342
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  • 2009
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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The existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor

  • 투고 : 2009.08.17
  • 심사 : 2009.11.30
  • 발행 : 2009.12.25
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초록

In this paper, we investigate the existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor. The notion of 'bounded integral contractor', introduced by Altman[1], is weaker than Lipschitz condition.

키워드

참고문헌

  1. M. Altman, Contractors and Contractor Directions, Theory and Applications, Marcel Dekker, NewYork (1978)
  2. P. Balasubramaniam and S. Muralisankar, Existence and uniqueness of fuzzy solution for semilinear fuzzy integrodifferential equations with nonlocal conditions, International J.Computer & Mathematics with applications,47(2004),1115–1122 https://doi.org/10.1016/S0898-1221(04)90091-0
  3. P. Diamand and P. E. Kloeden, Metric space of Fuzzy sets, World Scientific(1994)
  4. O. Kaleva, Fuzzy differential equations, Fuzzy set and Systems 24(1987),301–317 https://doi.org/10.1016/0165-0114(87)90029-7
  5. Y. C. Kwun and D. G. Park, Optimal controlproblem for fuzzy differential equations, Proceedings of the Korea-Vietnam Joint Seminar (1998),103–114
  6. M. Mizmoto and K. Tanaka, Some properties of fuzzy numbers, Advances in Fuzzy Sets Theory and applications, North-Holland Publishing Company(1979), 153–164
  7. J. H. Park, J. S. Park and Y. C. Kwun, Controllability for the semilinear fuzzy integrodifferential equations with nonlocal conditions, Lecture Notesin Artificial Intelligence 4223(2006),221–230
  8. S. Seikkala, On the fuzzy initial valueproblem, Fuzzy Sets and Systems 24 (1987), 319–330 https://doi.org/10.1016/0165-0114(87)90030-3

피인용 문헌

  1. Exact Controllability for Fuzzy Differential Equations in Credibility Space vol.14, pp.2, 2014, https://doi.org/10.5391/IJFIS.2014.14.2.145