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Volumn 41, Issue 2, 2009, Pages 859-868

Numerical solution of fuzzy differential equations by Nyström method

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Indexed keywords

INITIAL VALUE PROBLEMS;

EID: 67349254164     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.04.012     Document Type: Article
Times cited : (43)

References (48)
  • 1
  • 2
    • 33846370208 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations by predictor-corrector method
    • Allahviranloo T., Ahmadi N., and Ahmadi 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    Ahmadi, N.2    Ahmadi, E.3
  • 3
    • 0025210736 scopus 로고
    • Fuzzy differential inclusions
    • Aubin J.P. Fuzzy differential inclusions. Prob Control Inform Theory 19 (1990) 55-57
    • (1990) Prob Control Inform Theory , vol.19 , pp. 55-57
    • Aubin, J.P.1
  • 4
    • 0025460767 scopus 로고
    • A survey of viability theory
    • Aubin J.P. A survey of viability theory. SIAM J Control Optim 28 (1990) 749-788
    • (1990) SIAM J Control Optim , vol.28 , pp. 749-788
    • Aubin, J.P.1
  • 5
    • 0007071403 scopus 로고
    • Fuzzy differential inclusions
    • Baidosov V.A. Fuzzy differential inclusions. Prikl Math Mekh, USSR 54 (1990) 8-13
    • (1990) Prikl Math Mekh, USSR , vol.54 , pp. 8-13
    • Baidosov, V.A.1
  • 6
    • 15344339503 scopus 로고    scopus 로고
    • An efficient technique for superfamily classification of amino acid sequences: feature extraction, fuzzy clustering and prototype selection
    • Bandyopadhyay S. An efficient technique for superfamily classification of amino acid sequences: feature extraction, fuzzy clustering and prototype selection. Fuzzy Set Syst 152 (2005) 5-16
    • (2005) Fuzzy Set Syst , vol.152 , pp. 5-16
    • Bandyopadhyay, S.1
  • 8
    • 67349232483 scopus 로고    scopus 로고
    • Byung Soo Moon, A tuning algorithm for the fuzzy logic controllers. EUFIT'95; p. 620-4.
    • Byung Soo Moon, A tuning algorithm for the fuzzy logic controllers. EUFIT'95; p. 620-4.
  • 9
  • 10
    • 15344350837 scopus 로고    scopus 로고
    • Averaging fuzzy biopolymers
    • Casasnovas J., and Rossell F. Averaging fuzzy biopolymers. Fuzzy Set Syst 152 (2005) 139-158
    • (2005) Fuzzy Set Syst , vol.152 , pp. 139-158
    • Casasnovas, J.1    Rossell, F.2
  • 11
    • 0036677667 scopus 로고    scopus 로고
    • Protein motif extraction with neuro-fuzzy optimization
    • Chang B.C., and Halgamuge S.K. Protein motif extraction with neuro-fuzzy optimization. Bioinformatics 18 (2002) 1084-1090
    • (2002) Bioinformatics , vol.18 , pp. 1084-1090
    • Chang, B.C.1    Halgamuge, S.K.2
  • 12
    • 0003383653 scopus 로고
    • Fuzzy differential inclusions and non-probabilistic likelihood
    • Colombo G., and Krivan V. Fuzzy differential inclusions and non-probabilistic likelihood. Dyn-Syst Appl 1 (1992)
    • (1992) Dyn-Syst Appl , vol.1
    • Colombo, G.1    Krivan, V.2
  • 13
    • 0037411687 scopus 로고    scopus 로고
    • The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology
    • Datta D.P. The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology. Chaos, Solitons & Fractals 17 (2003) 781-788
    • (2003) Chaos, Solitons & Fractals , vol.17 , pp. 781-788
    • Datta, D.P.1
  • 14
    • 17944394324 scopus 로고    scopus 로고
    • Fuzzy C-means method for clustering microarray data
    • Dembl D., and Kastner P. Fuzzy C-means method for clustering microarray data. Bioinformatics 19 (2003) 973-980
    • (2003) Bioinformatics , vol.19 , pp. 973-980
    • Dembl, D.1    Kastner, P.2
  • 15
    • 4243058286 scopus 로고    scopus 로고
    • Adaptative control of discrete-time chaotic systems: a fuzzy control approach
    • Feng G., and Chen G. Adaptative control of discrete-time chaotic systems: a fuzzy control approach. Chaos, Solitons & Fractals 23 (2005) 459-467
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 459-467
    • Feng, G.1    Chen, G.2
  • 16
    • 0009933836 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential and integral equations
    • Friedman M., Ma M., and Kandel A. Numerical solution of fuzzy differential and integral equations. Fuzzy Set Syst 106 (1999) 35-48
    • (1999) Fuzzy Set Syst , vol.106 , pp. 35-48
    • Friedman, M.1    Ma, M.2    Kandel, A.3
  • 17
    • 0042121384 scopus 로고    scopus 로고
    • Impulsive functional differential inclusions and fuzzy population models
    • Guo M., Xue X., and Li R. Impulsive functional differential inclusions and fuzzy population models. Fuzzy Set Syst 138 (2003) 601-615
    • (2003) Fuzzy Set Syst , vol.138 , pp. 601-615
    • Guo, M.1    Xue, X.2    Li, R.3
  • 18
    • 1642445486 scopus 로고    scopus 로고
    • Sensitive pattern discovery with fuzzy alignments of distantly related proteins
    • Heger A., and Holm L. Sensitive pattern discovery with fuzzy alignments of distantly related proteins. Bioinformatics 19 (2003) 130-137
    • (2003) Bioinformatics , vol.19 , pp. 130-137
    • Heger, A.1    Holm, L.2
  • 19
    • 0032053310 scopus 로고    scopus 로고
    • The fuzzy cube and causal efficacy: representation of concomitant mechanisms in stroke
    • Helgason C.M., and Jobe T.H. The fuzzy cube and causal efficacy: representation of concomitant mechanisms in stroke. Neural Networks 11 (1998) 549-555
    • (1998) Neural Networks , vol.11 , pp. 549-555
    • Helgason, C.M.1    Jobe, T.H.2
  • 22
    • 12444324631 scopus 로고    scopus 로고
    • ∞ variable universe adaptative fuzzy control for chaotic systems
    • ∞ variable universe adaptative fuzzy control for chaotic systems. Chaos, Solitons & Fractals 24 (2005) 1075-1086
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 1075-1086
    • Jiang, W.1    Guo-Dong, Q.2    Bin, D.3
  • 23
    • 0023573517 scopus 로고
    • Fuzzy differential inclusions
    • Kaleva O. Fuzzy differential inclusions. Fuzzy Set Syst 24 (1987) 301-317
    • (1987) Fuzzy Set Syst , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 24
    • 0000363222 scopus 로고
    • The Cauchy problem for fuzzy differential equations
    • Kaleva O. The Cauchy problem for fuzzy differential equations. Fuzzy Set Syst 35 (1990) 389-396
    • (1990) Fuzzy Set Syst , vol.35 , pp. 389-396
    • Kaleva, O.1
  • 25
    • 0012540629 scopus 로고
    • Interpolation of fuzzy data
    • Kaleva O. Interpolation of fuzzy data. Fuzzy Set Syst 60 (1994) 63-70
    • (1994) Fuzzy Set Syst , vol.60 , pp. 63-70
    • Kaleva, O.1
  • 27
    • 0018046449 scopus 로고
    • Fuzzy algebra and fuzzy statistics
    • Kandel A., Byatt W.J., and sets F. Fuzzy algebra and fuzzy statistics. Proc IEEE 66 (1978) 1619-1639
    • (1978) Proc IEEE , vol.66 , pp. 1619-1639
    • Kandel, A.1    Byatt, W.J.2    sets, F.3
  • 29
    • 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
  • 30
    • 67349215144 scopus 로고    scopus 로고
    • Kirkiakidis K, Tzez A. Fuzzy logic adaptive sliding control design with an application to air-handling systems. EUFIT'95; p. 954-9.
    • Kirkiakidis K, Tzez A. Fuzzy logic adaptive sliding control design with an application to air-handling systems. EUFIT'95; p. 954-9.
  • 31
    • 0000984385 scopus 로고
    • Remarks on Peano-like theorems for fuzzy differential equations
    • Kloeden P. Remarks on Peano-like theorems for fuzzy differential equations. Fuzzy Set Syst 44 (1991) 161-164
    • (1991) Fuzzy Set Syst , vol.44 , pp. 161-164
    • Kloeden, P.1
  • 32
    • 0040971074 scopus 로고
    • Fuzzy differential systems and Malliavin calculus
    • Leland R.P. Fuzzy differential systems and Malliavin calculus. Fuzzy Set Syst 70 (1995) 59-73
    • (1995) Fuzzy Set Syst , vol.70 , pp. 59-73
    • Leland, R.P.1
  • 33
    • 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 Set Syst 105 (1999) 133-138
    • (1999) Fuzzy Set Syst , vol.105 , pp. 133-138
    • Ma, M.1    Friedman, M.2    Kandel, A.3
  • 34
    • 0037774540 scopus 로고    scopus 로고
    • A review of E-infinite theory and the mass spectrum of high energy particle physics
    • El Naschie M.S. A review of E-infinite theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 (2004) 209-236
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 209-236
    • El Naschie, M.S.1
  • 35
    • 1842853894 scopus 로고    scopus 로고
    • The concepts of E-infinite: an elementary introduction to the Cantorian-fractal theory of quantum physics
    • El Naschie M.S. The concepts of E-infinite: an elementary introduction to the Cantorian-fractal theory of quantum physics. Chaos, Solitons & Fractals 22 (2004) 495-511
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 495-511
    • El Naschie, M.S.1
  • 36
    • 17844363009 scopus 로고    scopus 로고
    • On a fuzzy Khler manifold which is consistent with the two slit experiment
    • El Naschie M.S. On a fuzzy Khler manifold which is consistent with the two slit experiment. Int J Nonlinear Sci Numer Simult 6 (2005) 95-98
    • (2005) Int J Nonlinear Sci Numer Simult , vol.6 , pp. 95-98
    • El Naschie, M.S.1
  • 37
    • 18444404944 scopus 로고    scopus 로고
    • From experimental quantum optics to quantum gravity via a fuzzy Khler manifold
    • El Naschie M.S. From experimental quantum optics to quantum gravity via a fuzzy Khler manifold. Chaos, Solitons & Fractals 25 (2005) 969-977
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 969-977
    • El Naschie, M.S.1
  • 38
    • 0037211870 scopus 로고    scopus 로고
    • Midpoints for fuzzy sets and their application in medicine
    • Nieto J.J., and Torres A. Midpoints for fuzzy sets and their application in medicine. Artif Intell Med 27 (2003) 81-101
    • (2003) Artif Intell Med , vol.27 , pp. 81-101
    • Nieto, J.J.1    Torres, A.2
  • 40
    • 45349112141 scopus 로고
    • On fuzzy differential equations
    • He O., and Yi W. On fuzzy differential equations. Fuzzy Set Syst 32 (1989) 321-325
    • (1989) Fuzzy Set Syst , vol.32 , pp. 321-325
    • He, O.1    Yi, W.2
  • 41
    • 2942685673 scopus 로고    scopus 로고
    • Intuitionistic fuzzy metric spaces
    • Park J.H. Intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals 22 (2004) 1039-1046
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 1039-1046
    • Park, J.H.1
  • 42
    • 0023581045 scopus 로고
    • On the fuzzy initial value problem
    • Seikkala S. On the fuzzy initial value problem. Fuzzy Set Syst 24 (1987) 319-330
    • (1987) Fuzzy Set Syst , vol.24 , pp. 319-330
    • Seikkala, S.1
  • 43
    • 0041110206 scopus 로고    scopus 로고
    • Existence and uniquess of solution to the Cauchy problem of fuzzy differential equations
    • Song S., and Wu C. Existence and uniquess of solution to the Cauchy problem of fuzzy differential equations. Fuzzy Set Syst 110 (2000) 55-57
    • (2000) Fuzzy Set Syst , vol.110 , pp. 55-57
    • Song, S.1    Wu, C.2
  • 44
    • 33746823905 scopus 로고    scopus 로고
    • Parametric representation of fuzzy numbers and application to fuzzy calculus
    • Stefanini L., Sorini L., and Guerra M.L. Parametric representation of fuzzy numbers and application to fuzzy calculus. Fuzzy Set Syst 157 (2006) 2423-2455
    • (2006) Fuzzy Set Syst , vol.157 , pp. 2423-2455
    • Stefanini, L.1    Sorini, L.2    Guerra, M.L.3
  • 46
    • 0030240875 scopus 로고    scopus 로고
    • Approximate solution, existence and uniqueness of the Cauchy problem of fuzzy differential equations
    • Wu C., Song S., and Stanley Lee E. Approximate solution, existence and uniqueness of the Cauchy problem of fuzzy differential equations. J Math Anal Appl 202 (1996) 629-644
    • (1996) J Math Anal Appl , vol.202 , pp. 629-644
    • Wu, C.1    Song, S.2    Stanley Lee, E.3
  • 47
    • 0040984279 scopus 로고
    • 1
    • [in Chinese]
    • 1. J Fuzzy Syst Math 2 1 (1988) 51-56 [in Chinese]
    • (1988) J Fuzzy Syst Math , vol.2 , Issue.1 , pp. 51-56
    • Menda, W.1
  • 48
    • 18844447784 scopus 로고    scopus 로고
    • Fuzzy modeling and synchronization of hyperchaotic systems
    • Zhang H., Liao X., and Yu J. Fuzzy modeling and synchronization of hyperchaotic systems. Chaos, Solitons & Fractals 26 (2005) 835-843
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 835-843
    • Zhang, H.1    Liao, X.2    Yu, J.3


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