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The existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor

Lee, Bu-Young    (Department of Mathematics, Dong-A University   ); Kwun, Young-Chel    (Department of Mathematics, Dong-A University   ); Ahn, Young-Chel    (Department of Mathematics, Dong-A University   ); Park, Jin-Han    (Division of Mathematical Sciences, Pukyong National University  );
  • 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.


  • 주제어

    fuzzy solution .   semilinear fuzzy integrodifferential equation .   integral contractor .   fuzzy number.  

  • 참고문헌 (8)

    1. M. Altman, Contractors and Contractor Directions, Theory and Applications, Marcel Dekker, NewYork (1978) 
    2. Y. C. Kwun and D. G. Park, Optimal controlproblem for fuzzy differential equations, Proceedings of the Korea-Vietnam Joint Seminar (1998),103?114 
    3. 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 
    4. S. Seikkala, On the fuzzy initial valueproblem, Fuzzy Sets and Systems 24 (1987), 319?330 
    5. 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 
    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. P. Diamand and P. E. Kloeden, Metric space of Fuzzy sets, World Scientific(1994) 
    8. O. Kaleva, Fuzzy differential equations, Fuzzy set and Systems 24(1987),301?317 
  • 이 논문을 인용한 문헌 (1)

    1. 2014. "" International journal of fuzzy logic and intelligent systems : IJFIS, 14(2): 145~153     

 저자의 다른 논문

  • Lee, Bu-Young (17)

    1. 1986 "ON THE INITIAL CONVERGENCE STRUCTURE" The Pusan Kyongnam mathematical journal 2 (): 103~109    
    2. 1986 "Some Properties of Pseudo-Topological Spaces" 한국수학교육학회지. 시리즈 A: 수학교육 25 (1): 9~13    
    3. 1986 "On The Final Convergence Structure" 한국수학교육학회지. 시리즈 A: 수학교육 25 (1): 15~19    
    4. 1989 "SEPARATION AXIOMS ON THE INITIAL CONVERGENCE SPACES" The Pusan Kyongnam mathematical journal 5 (1): 111~118    
    5. 1989 "SEVERAL CONTINUITIES OF FUNCTIONS ON CONVERGENCE SPACES" The Pusan Kyongnam mathematical journal 5 (1): 125~133    
    6. 1991 "FUZZY S-CONTINUOUS MAPPINGS" The Pusan Kyongnam mathematical journal 7 (1): 45~52    
    7. 1993 "BETWEEN FUZZY STRONG ${\Theta}$-CONTINUITY AND FUZZY WEAK ${\Theta}$-CONTINUITY" The Pusan Kyongnam mathematical journal 9 (1): 157~165    
    8. 1994 "DIRECT PROJECTIVE MODULES WITH THE SUMMAND INTERSECTION PROPERTY" The Pusan Kyongnam mathematical journal 10 (2): 261~263    
    9. 1997 "Development of a Teaching/Learning Model for the Mathematical Enculturation of Elementary and Secondary School Students" Journal of the Korean Society of Mathematical Education. Series D: Research in mathematical education 1 (2): 107~116    
    10. 2006 "Controllability for the Nonlinear Fuzzy Control System with Nonlocal Initial Condition in EnN" International journal of fuzzy logic and intelligent systems : IJFIS 6 (1): 15~20    
  • Kwun, Young-Chel (39)

  • Ahn, Young-Chel (2)

  • Park, Jin-Han (29)

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