메뉴 건너뛰기




Volumn 178, Issue 5, 2008, Pages 1309-1324

Nth-order fuzzy linear differential equations

Author keywords

Basic functions; Extension principle; Fuzzy differential equations; Fuzzy distance; Fuzzy number

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR EQUATIONS; NUMERICAL METHODS; THEOREM PROVING;

EID: 37449009203     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.10.013     Document Type: Article
Times cited : (54)

References (25)
  • 3
    • 33846370208 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations by predictor-corrector method
    • Allahviranloo T., Ahmady N., and Ahmady E. Numerical solution of fuzzy differential equations by predictor-corrector method. Information Sciences 177/7 (2007) 1633-1647
    • (2007) Information Sciences , vol.177-7 , pp. 1633-1647
    • Allahviranloo, T.1    Ahmady, N.2    Ahmady, E.3
  • 4
    • 33846224330 scopus 로고    scopus 로고
    • First order linear fuzzy differential equations under generalized differentiability
    • Bede B., Rudas I.J., and Bencsik A.L. First order linear fuzzy differential equations under generalized differentiability. Information Sciences 177 (2007) 1648-1662
    • (2007) Information Sciences , vol.177 , pp. 1648-1662
    • Bede, B.1    Rudas, I.J.2    Bencsik, A.L.3
  • 7
    • 0035898965 scopus 로고    scopus 로고
    • Fuzzy initial value problem for Nth-order fuzzy linear differential equations
    • Buckley J.J., and Feuring T. Fuzzy initial value problem for Nth-order fuzzy linear differential equations. Fuzzy Sets and Systems 121 (2001) 247-255
    • (2001) Fuzzy Sets and Systems , vol.121 , pp. 247-255
    • Buckley, J.J.1    Feuring, T.2
  • 8
    • 0038739530 scopus 로고    scopus 로고
    • Introduction to fuzzy partial differential equations
    • Buckley J.J., and Feuring T. Introduction to fuzzy partial differential equations. Fuzzy Sets and Systems 105 (1999) 241-248
    • (1999) Fuzzy Sets and Systems , vol.105 , pp. 241-248
    • Buckley, J.J.1    Feuring, T.2
  • 11
    • 0032116380 scopus 로고    scopus 로고
    • Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions
    • Congxin W., and Shiji S. Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions. Information Sciences 108 (1998) 123-134
    • (1998) Information Sciences , vol.108 , pp. 123-134
    • Congxin, W.1    Shiji, S.2
  • 12
    • 0031189750 scopus 로고    scopus 로고
    • Existence of the solutions of fuzzy differential equations with parameters
    • Ding Z., Ma M., and Kandel A. Existence of the solutions of fuzzy differential equations with parameters. Information Sciences 99 (1997) 205-217
    • (1997) Information Sciences , vol.99 , pp. 205-217
    • Ding, Z.1    Ma, M.2    Kandel, A.3
  • 13
    • 0020184062 scopus 로고
    • Towards fuzzy differential calculus: part 3, differentiation
    • Dubois D., and prade H. Towards fuzzy differential calculus: part 3, differentiation. Fuzzy Sets and Systems 8 (1982) 225-233
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 225-233
    • Dubois, D.1    prade, H.2
  • 15
    • 45349112141 scopus 로고
    • On fuzzy differential equations
    • He O., and Yi W. On fuzzy differential equations. Fuzzy Sets and Systems 24 (1989) 321-325
    • (1989) Fuzzy Sets and Systems , vol.24 , pp. 321-325
    • He, O.1    Yi, W.2
  • 17
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • Kaleva O. Fuzzy differential equations. Fuzzy Sets and Systems 24 (1987) 301-317
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 18
    • 0000363222 scopus 로고
    • The Cauchy problem for fuzzy differential equations
    • Kaleva O. The Cauchy problem for fuzzy differential equations. Fuzzy Sets and Systems 35 (1990) 389-396
    • (1990) Fuzzy Sets and Systems , vol.35 , pp. 389-396
    • Kaleva, O.1
  • 19
    • 0011481771 scopus 로고
    • Fuzzy dynamical systems and the nature of their solutions
    • Wang P.P., and Chang S.K. (Eds), Plenum Press, New York
    • Kandel A. Fuzzy dynamical systems and the nature of their solutions. In: Wang P.P., and Chang S.K. (Eds). Fuzzy Sets Theory and Application to Policy Analysis and Information Systems (1980), Plenum Press, New York 93-122
    • (1980) Fuzzy Sets Theory and Application to Policy Analysis and Information Systems , pp. 93-122
    • Kandel, A.1
  • 20
    • 37449019110 scopus 로고    scopus 로고
    • A. Kandel, W.J. Byatt, Fuzzy differential equations, in: Proceedings of the International Conference on Cybernetics and Society, Tokyo, November 1978, pp. 1213-12160.
  • 21
    • 0000984385 scopus 로고
    • Remarks on peano-like theorems for fuzzy differential equations
    • Kloeden P. Remarks on peano-like theorems for fuzzy differential equations. Fuzzy Sets and Systems 44 (1991) 161-164
    • (1991) Fuzzy Sets and Systems , vol.44 , pp. 161-164
    • Kloeden, P.1
  • 25
    • 0023581045 scopus 로고
    • On the fuzzy initial value problem
    • Seikkala S. On the fuzzy initial value problem. Fuzzy Sets and Systems 24 (1987) 319-330
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 319-330
    • Seikkala, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.