메뉴 건너뛰기




Volumn 160, Issue 11, 2009, Pages 1517-1527

Comparation between some approaches to solve fuzzy differential equations

Author keywords

Extension principle; Fuzzy differential equation; Fuzzy differential inclusions

Indexed keywords

EXTENSION PRINCIPLE; FUZZY DIFFERENTIAL EQUATION; FUZZY DIFFERENTIAL INCLUSIONS; FUZZY MAPPINGS; ILLUSTRATIVE EXAMPLES; NUMERICAL PROCEDURES; ZADEH'S EXTENSION PRINCIPLES;

EID: 64049113935     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.10.002     Document Type: Article
Times cited : (128)

References (47)
  • 1
    • 20444443902 scopus 로고    scopus 로고
    • Tuning of reachable set in one dimensional fuzzy differential inclusions
    • Abbasbandy S., Nieto J.J., and Alavi M. Tuning of reachable set in one dimensional fuzzy differential inclusions. Chaos Solitons Fractals 26 (2005) 1337-1341
    • (2005) Chaos Solitons Fractals , vol.26 , pp. 1337-1341
    • Abbasbandy, S.1    Nieto, J.J.2    Alavi, M.3
  • 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. Inform. Sci. 177 (2007) 1633-1647
    • (2007) Inform. Sci. , vol.177 , pp. 1633-1647
    • Allahviranloo, T.1    Ahmady, N.2    Ahmady, E.3
  • 4
    • 38649113250 scopus 로고    scopus 로고
    • Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"
    • Bede B. Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method". Inform. Sci. 178 (2008) 1917-1922
    • (2008) Inform. Sci. , vol.178 , pp. 1917-1922
    • Bede, B.1
  • 5
    • 14544296605 scopus 로고    scopus 로고
    • Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equation
    • Bede B., and Gal S.G. Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equation. 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
  • 6
    • 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. Inform. Sci. 177 (2007) 1648-1662
    • (2007) Inform. Sci. , vol.177 , pp. 1648-1662
    • Bede, B.1    Rudas, I.J.2    Bencsik, A.L.3
  • 10
    • 41849120488 scopus 로고    scopus 로고
    • On the new solution of fuzzy differential equations
    • Chalco-Cano Y., and Román-Flores H. On the new solution of fuzzy differential equations. Chaos Solitons Fractals 38 (2006) 112-119
    • (2006) Chaos Solitons Fractals , vol.38 , pp. 112-119
    • Chalco-Cano, Y.1    Román-Flores, H.2
  • 13
    • 37349008528 scopus 로고    scopus 로고
    • The existence of solutions for the nonlinear first order fuzzy differential equations with discontinuous conditions
    • Cho Y.J., and Lan H.Y. The existence of solutions for the nonlinear first order fuzzy differential equations with discontinuous conditions. Dynamics Continuous Discrete Inpulsive Systems Ser. A Math. Anal. 14 (2007) 873-884
    • (2007) Dynamics Continuous Discrete Inpulsive Systems Ser. A Math. Anal. , vol.14 , pp. 873-884
    • Cho, Y.J.1    Lan, H.Y.2
  • 14
    • 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 System 7 (1999) 734-740
    • (1999) IEEE Trans. Fuzzy System , vol.7 , pp. 734-740
    • 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
    • 0031189750 scopus 로고    scopus 로고
    • Existence of solutions of fuzzy differential equations with parameters
    • Ding Ming Ma Z., and Kandel A. Existence of solutions of fuzzy differential equations with parameters. Inform. Sci. 99 (1997) 205-217
    • (1997) Inform. Sci. , vol.99 , pp. 205-217
    • Ding Ming Ma, Z.1    Kandel, A.2
  • 19
    • 0042121384 scopus 로고    scopus 로고
    • Impulsive functional differential inclusions and fuzzy population models
    • Guo M., and Li R. Impulsive functional differential inclusions and fuzzy population models. Fuzzy Sets and Systems 138 (2003) 601-615
    • (2003) Fuzzy Sets and Systems , vol.138 , pp. 601-615
    • Guo, M.1    Li, R.2
  • 20
    • 0038192330 scopus 로고    scopus 로고
    • The oscillation of delay differential inclusions and fuzzy biodynamics models
    • Guo M., Xue X., and Li R. The oscillation of delay differential inclusions and fuzzy biodynamics models. Math. Comput. Modelling 37 (2003) 651-658
    • (2003) Math. Comput. Modelling , vol.37 , pp. 651-658
    • Guo, M.1    Xue, X.2    Li, 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
    • 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
    • 0009756910 scopus 로고    scopus 로고
    • The Cauchy problem for continuous differential equations
    • Nieto J.J. The Cauchy problem for continuous differential equations. Fuzzy Sets and Systems 102 (1999) 259-262
    • (1999) Fuzzy Sets and Systems , vol.102 , pp. 259-262
    • Nieto, J.J.1
  • 30
    • 24944547803 scopus 로고    scopus 로고
    • Bounded solutions for fuzzy differential and integral equations
    • Nieto J.J., and Rodríguez-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    Rodríguez-López, R.2
  • 31
    • 34447552426 scopus 로고    scopus 로고
    • Euler polygonal method for metric dynamical systems
    • Nieto J.J., and Rodríguez-López R. Euler polygonal method for metric dynamical systems. Inform. Sci. 177 (2007) 587-600
    • (2007) Inform. Sci. , vol.177 , pp. 587-600
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 32
    • 44649200002 scopus 로고    scopus 로고
    • Fuzzy differential systems under generalized metric space approach
    • Nieto J.J., and Rodríguez-López R. Fuzzy differential systems under generalized metric space approach. Dynamic Systems Appl. 17 (2008) 1-24
    • (2008) Dynamic Systems Appl. , vol.17 , pp. 1-24
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 35
    • 60549095833 scopus 로고    scopus 로고
    • Runge-Kutta methods for fuzzy differential equations
    • in press, doi:10.1016/j.amc.2008.06.017
    • S.Ch. Palligkinis, G. Papageorgiou, I.Th. Famelis, Runge-Kutta methods for fuzzy differential equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2008.06.017.
    • Appl. Math. Comput
    • Palligkinis, S.C.1    Papageorgiou, G.2    Famelis, I.T.3
  • 36
    • 40949090514 scopus 로고    scopus 로고
    • The Runge-Kutta method for hybrid fuzzy differential equations
    • Pederson S., and Sambandham M. The Runge-Kutta method for hybrid fuzzy differential equations. Nonlinear Anal. Hybrid Systems 2 (2008) 626-634
    • (2008) Nonlinear Anal. Hybrid Systems , vol.2 , pp. 626-634
    • Pederson, S.1    Sambandham, M.2
  • 37
    • 0001237908 scopus 로고
    • Differential and fuzzy functions
    • Puri M., and Ralescu D. Differential and fuzzy functions. J. Math. Anal. Appl. 91 (1983) 552-558
    • (1983) J. Math. Anal. Appl. , vol.91 , pp. 552-558
    • Puri, M.1    Ralescu, D.2
  • 38
    • 38349073450 scopus 로고    scopus 로고
    • Comparison results for fuzzy differential equations
    • Rodriguez-López R. Comparison results for fuzzy differential equations. Inform. Sci. 178 (2008) 1756-1779
    • (2008) Inform. Sci. , vol.178 , pp. 1756-1779
    • Rodriguez-López, R.1
  • 39
    • 44649091891 scopus 로고    scopus 로고
    • Monotone method fuzzy differential equations
    • Rodriguez-López R. Monotone method 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
    • 0009755102 scopus 로고    scopus 로고
    • Global existence of solutions to fuzzy differential equations
    • Song S., Guo L., and Feng C. Global existence of solutions to fuzzy differential equations. Fuzzy Sets and Systems 115 (2000) 371-376
    • (2000) Fuzzy Sets and Systems , vol.115 , pp. 371-376
    • Song, S.1    Guo, L.2    Feng, C.3
  • 43
    • 0041110206 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
    • Song S., and Wu C. Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations. Fuzzy Sets and Systems 110 (2000) 55-67
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 55-67
    • Song, S.1    Wu, C.2
  • 44
    • 0032116380 scopus 로고    scopus 로고
    • Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions
    • Wu C.X., and Song S. Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions. Inform. Sci. 108 (1998) 123-134
    • (1998) Inform. Sci. , vol.108 , pp. 123-134
    • Wu, C.X.1    Song, S.2
  • 45
    • 27644454319 scopus 로고    scopus 로고
    • On the structure of solutions for fuzzy initial value problem
    • Xiaoping X., and Yongqiang F. On the structure of solutions for fuzzy initial value problem. Fuzzy Sets and Systems 157 (2006) 212-229
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 212-229
    • Xiaoping, X.1    Yongqiang, F.2
  • 46
    • 34548156679 scopus 로고    scopus 로고
    • A class of linear differential dynamical systems with fuzzy initial condition
    • Xu J., Liao Z., and Hu Z. A class of linear differential dynamical systems with fuzzy initial condition. Fuzzy Sets and Systems 158 (2007) 2339-2358
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 2339-2358
    • Xu, J.1    Liao, Z.2    Hu, Z.3
  • 47
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its applications in approximate reasoning
    • Zadeh L.A. The concept of a linguistic variable and its applications in approximate reasoning. Inform. Sci. 8 (1975) 199-251
    • (1975) Inform. Sci. , vol.8 , pp. 199-251
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.