메뉴 건너뛰기




Volumn 160, Issue 21, 2009, Pages 3152-3165

On random fuzzy differential equations

Author keywords

Cauchy problem for fuzzy mappings; Fuzzy random variables; Fuzzy set; Fuzzy stochastic process; Random fuzzy differential equations

Indexed keywords

BOUNDEDNESS; CAUCHY PROBLEM FOR FUZZY MAPPINGS; CAUCHY PROBLEMS; CONTINUOUS DEPENDENCE; EXISTENCE AND UNIQUENESS; FUZZY DIFFERENTIAL EQUATIONS; FUZZY RANDOM VARIABLES; FUZZY SETTINGS; FUZZY STOCHASTIC PROCESS; INITIAL CONDITIONS; RANDOM FUZZY DIFFERENTIAL EQUATIONS; RIGHT-HAND SIDES;

EID: 69249232212     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.02.003     Document Type: Article
Times cited : (83)

References (42)
  • 1
    • 0041387375 scopus 로고    scopus 로고
    • A stacking theorem approach for fuzzy differential equations
    • Agarwal R.P., O'Regan D., and Lakshmikantham V. A stacking theorem approach for fuzzy differential equations. Nonlinear Anal. 55 (2003) 299-312
    • (2003) Nonlinear Anal. , vol.55 , pp. 299-312
    • Agarwal, R.P.1    O'Regan, D.2    Lakshmikantham, V.3
  • 5
    • 33644594289 scopus 로고    scopus 로고
    • A note on two-point boundary value problems associated with non-linear fuzzy differential equations
    • Bede B. A note on two-point boundary value problems associated with non-linear fuzzy differential equations. Fuzzy Sets and Systems 157 (2006) 986-989
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 986-989
    • Bede, B.1
  • 6
    • 14544296605 scopus 로고    scopus 로고
    • Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
    • Bede B., and Gal S.G. Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Sets and Systems 151 (2005) 581-599
    • (2005) Fuzzy Sets and Systems , vol.151 , pp. 581-599
    • Bede, B.1    Gal, S.G.2
  • 12
    • 0033281106 scopus 로고    scopus 로고
    • Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations
    • Diamond P. Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations. IEEE Trans. Fuzzy Systems 7 (1999) 734-740
    • (1999) IEEE Trans. Fuzzy Systems , vol.7 , pp. 734-740
    • Diamond, P.1
  • 13
    • 0034293866 scopus 로고    scopus 로고
    • Stability and periodicity in fuzzy differential equations
    • Diamond P. Stability and periodicity in fuzzy differential equations. IEEE Trans. Fuzzy Systems 8 (2000) 583-590
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , pp. 583-590
    • Diamond, P.1
  • 14
    • 0036475714 scopus 로고    scopus 로고
    • Theory and applications of fuzzy Volterra integral equations
    • Diamond P. Theory and applications of fuzzy Volterra integral equations. IEEE Trans. Fuzzy Systems 10 (2002) 97-102
    • (2002) IEEE Trans. Fuzzy Systems , vol.10 , pp. 97-102
    • Diamond, P.1
  • 15
    • 0036642870 scopus 로고    scopus 로고
    • Brief note on the variation of constants formula for fuzzy differential equations
    • Diamond P. Brief note on the variation of constants formula for fuzzy differential equations. Fuzzy Sets and Systems 129 (2002) 65-71
    • (2002) Fuzzy Sets and Systems , vol.129 , pp. 65-71
    • Diamond, P.1
  • 17
    • 0002208128 scopus 로고    scopus 로고
    • Regularity of solution sets for differential inclusions quasi-concave in a parameter
    • Diamond P., and Watson P. Regularity of solution sets for differential inclusions quasi-concave in a parameter. Appl. Math. Lett. 13 (2000) 31-35
    • (2000) Appl. Math. Lett. , vol.13 , pp. 31-35
    • Diamond, P.1    Watson, P.2
  • 18
    • 0020142384 scopus 로고
    • Towards fuzzy differential calculus, part 1: integration of fuzzy mappings
    • Dubois D., and Prade H. Towards fuzzy differential calculus, part 1: integration of fuzzy mappings. Fuzzy Sets and Systems 8 (1982) 1-17
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 1-17
    • Dubois, D.1    Prade, H.2
  • 19
    • 34447518790 scopus 로고    scopus 로고
    • Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients
    • Fei W. Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients. Inform. Sci. 177 (2007) 4329-4337
    • (2007) Inform. Sci. , vol.177 , pp. 4329-4337
    • Fei, W.1
  • 20
    • 0001596637 scopus 로고    scopus 로고
    • Mean-square integral and differential of fuzzy stochastic processes
    • Feng Y. Mean-square integral and differential of fuzzy stochastic processes. Fuzzy Sets and Systems 102 (1999) 271-280
    • (1999) Fuzzy Sets and Systems , vol.102 , pp. 271-280
    • Feng, Y.1
  • 21
    • 0242296087 scopus 로고    scopus 로고
    • Fuzzy stochastic differential systems
    • Feng Y. Fuzzy stochastic differential systems. Fuzzy Sets and Systems 115 (2000) 351-363
    • (2000) Fuzzy Sets and Systems , vol.115 , pp. 351-363
    • Feng, Y.1
  • 22
    • 26944448929 scopus 로고    scopus 로고
    • Initial value problems for higher-order fuzzy differential equations
    • Georgiou D.N., Nieto J.J., and Rodriguez-López R. Initial value problems for higher-order fuzzy differential equations. Nonlinear Anal. 63 (2005) 587-600
    • (2005) Nonlinear Anal. , vol.63 , pp. 587-600
    • Georgiou, D.N.1    Nieto, J.J.2    Rodriguez-López, R.3
  • 25
    • 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
  • 26
    • 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
  • 27
    • 30144435903 scopus 로고    scopus 로고
    • A note on fuzzy differential equations
    • Kaleva O. A note on fuzzy differential equations. Nonlinear Anal. 64 (2006) 895-900
    • (2006) Nonlinear Anal. , vol.64 , pp. 895-900
    • Kaleva, O.1
  • 29
    • 0038137267 scopus 로고    scopus 로고
    • Interconnection between set and fuzzy differential equations
    • Lakshmikantham V., Leela S., and Vatsala A.S. Interconnection between set and fuzzy differential equations. Nonlinear Anal. 54 (2003) 351-360
    • (2003) Nonlinear Anal. , vol.54 , pp. 351-360
    • Lakshmikantham, V.1    Leela, S.2    Vatsala, A.S.3
  • 31
    • 0041387380 scopus 로고    scopus 로고
    • Existence and interrelation between set and fuzzy differential equations
    • Lakshmikantham V., and Tolstonogov A.A. Existence and interrelation between set and fuzzy differential equations. Nonlinear Anal. 55 (2003) 255-268
    • (2003) Nonlinear Anal. , vol.55 , pp. 255-268
    • Lakshmikantham, V.1    Tolstonogov, A.A.2
  • 32
    • 0000382276 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations
    • Ma M., Friedman M., and Kandel A. Numerical solution of fuzzy differential equations. Fuzzy Sets and Systems 105 (1999) 133-138
    • (1999) Fuzzy Sets and Systems , vol.105 , pp. 133-138
    • Ma, M.1    Friedman, M.2    Kandel, A.3
  • 33
    • 0009756910 scopus 로고    scopus 로고
    • The Cauchy problem for continuous fuzzy differential equations
    • Nieto J.J. The Cauchy problem for continuous fuzzy differential equations. Fuzzy Sets and Systems 102 (1999) 259-262
    • (1999) Fuzzy Sets and Systems , vol.102 , pp. 259-262
    • Nieto, J.J.1
  • 34
    • 24944547803 scopus 로고    scopus 로고
    • Bounded solutions for fuzzy differential and integral equations
    • Nieto J.J., and Rodriguez-López R. Bounded solutions for fuzzy differential and integral equations. Chaos Solitons & Fractals 27 (2006) 1376-1386
    • (2006) Chaos Solitons & Fractals , vol.27 , pp. 1376-1386
    • Nieto, J.J.1    Rodriguez-López, R.2
  • 35
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • Nguyen H.T. A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64 (1978) 369-380
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 369-380
    • Nguyen, H.T.1
  • 36
    • 45349112141 scopus 로고
    • On fuzzy differential equations
    • Ouyang H., and Wu Y. On fuzzy differential equations. Fuzzy Sets and Systems 32 (1989) 321-325
    • (1989) Fuzzy Sets and Systems , vol.32 , pp. 321-325
    • Ouyang, H.1    Wu, Y.2
  • 37
  • 39
    • 41549112387 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive fuzzy differential equations
    • Rodriguez-López R. Periodic boundary value problems for impulsive fuzzy differential equations. Fuzzy Sets and Systems 159 (2008) 1384-1409
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1384-1409
    • Rodriguez-López, R.1
  • 40
    • 44649091891 scopus 로고    scopus 로고
    • Monotone method for fuzzy differential equations
    • Rodriguez-López R. Monotone method for fuzzy differential equations. Fuzzy Sets and Systems 159 (2008) 2047-2076
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 2047-2076
    • Rodriguez-López, R.1
  • 41
    • 0036646539 scopus 로고    scopus 로고
    • Embedding of level-continuous fuzzy sets on Banach spaces
    • Román-Flores H., and Rojas-Medar M. Embedding of level-continuous fuzzy sets on Banach spaces. Inform. Sci. 144 (2002) 227-247
    • (2002) Inform. Sci. , vol.144 , pp. 227-247
    • Román-Flores, H.1    Rojas-Medar, M.2
  • 42
    • 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.