메뉴 건너뛰기




Volumn 17, Issue 1, 2013, Pages 145-158

Applications of fuzzy Laplace transforms

Author keywords

Fuzzy initial value problems (FIVPs); Fuzzy Laplace transform; Generalized H differentiability; State space description of fuzzy continuous time systems

Indexed keywords

EXISTENCE THEOREM; FUZZY INITIAL VALUE PROBLEM; FUZZY-VALUED FUNCTION; H-DIFFERENTIABILITY; LINEAR CONTINUOUS-TIME SYSTEM; NEW APPLICATIONS; STATE-SPACE DESCRIPTION;

EID: 84871935994     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-012-0907-4     Document Type: Article
Times cited : (92)

References (37)
  • 3
    • 33846370208 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations by predictor-corrector method
    • Allahviranloo T, Ahmady N, Ahmady E (2007) Numerical solution of fuzzy differential equations by predictor-corrector method. Inf Sci 177: 1633-1647.
    • (2007) Inf Sci , vol.177 , pp. 1633-1647
    • Allahviranloo, T.1    Ahmady, N.2    Ahmady, E.3
  • 4
    • 37449009203 scopus 로고    scopus 로고
    • Nth order fuzzy linear differential equations
    • Allahviranloo T, Ahmady E, Ahmady N (2008) Nth order fuzzy linear differential equations. Inf Sci 178: 1309-1324.
    • (2008) Inf Sci , vol.178 , pp. 1309-1324
    • Allahviranloo, T.1    Ahmady, E.2    Ahmady, N.3
  • 6
    • 59349083165 scopus 로고    scopus 로고
    • Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
    • Allahviranloo T, Kiani NA, Barkhordari M (2009) Toward the existence and uniqueness of solutions of second-order fuzzy differential equations. Inf Sci 179: 1207-1215.
    • (2009) Inf Sci , vol.179 , pp. 1207-1215
    • Allahviranloo, T.1    Kiani, N.A.2    Barkhordari, M.3
  • 7
    • 79958030660 scopus 로고    scopus 로고
    • Euler method for solving hybrid fuzzy differential equation
    • Allahviranloo T, Salahshour S (2011) Euler method for solving hybrid fuzzy differential equation. Soft Comput 15: 1247-1253.
    • (2011) Soft Comput , vol.15 , pp. 1247-1253
    • Allahviranloo, T.1    Salahshour, S.2
  • 9
    • 14544296605 scopus 로고    scopus 로고
    • Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
    • Bede B, Gal SG (2005) Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Sets Syst 151: 581-599.
    • (2005) Fuzzy Sets Syst , vol.151 , pp. 581-599
    • Bede, B.1    Gal, S.G.2
  • 10
    • 4544258343 scopus 로고    scopus 로고
    • Almost periodic fuzzy-number-valued functions
    • Bede B, Gal SG (2004) Almost periodic fuzzy-number-valued functions. Fuzzy Sets Syst 147: 385-403.
    • (2004) Fuzzy Sets Syst , vol.147 , pp. 385-403
    • Bede, B.1    Gal, S.G.2
  • 11
    • 33846224330 scopus 로고    scopus 로고
    • First order linear fuzzy differential equations under generalized differentiability
    • Bede B, Rudas IJ, Bencsik AL (2006) First order linear fuzzy differential equations under generalized differentiability. Fuzzy Sets Syst 177: 1648-1662.
    • (2006) Inf Sci , vol.177 , pp. 1648-1662
    • Bede, B.1    Rudas, I.J.2    Bencsik, A.L.3
  • 15
    • 0033281106 scopus 로고    scopus 로고
    • Time dependent differential inclusions, cocycle attractors and fuzzy differential equations
    • Diamond P (1999) Time dependent differential inclusions, cocycle attractors and fuzzy differential equations. IEEE Trans Fuzzy Syst 7: 734-740.
    • (1999) IEEE Trans Fuzzy Syst , vol.7 , pp. 734-740
    • Diamond, P.1
  • 16
    • 0031189750 scopus 로고    scopus 로고
    • Existence of the solutions of fuzzy differential equations with parameters
    • Ding Z, Ma M, Kandel A (1997) Existence of the solutions of fuzzy differential equations with parameters. Inf Sci 99: 205-217.
    • (1997) Inf Sci , vol.99 , pp. 205-217
    • Ding, Z.1    Ma, M.2    Kandel, A.3
  • 17
    • 0020184062 scopus 로고
    • Towards fuzzy differential calculus
    • Dubios D, Prade H (1982) Towards fuzzy differential calculus. Fuzzy Sets Syst 8: 225-233.
    • (1982) Fuzzy Sets Syst , vol.8 , pp. 225-233
    • Dubios, D.1    Prade, H.2
  • 18
    • 0009933836 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential and integral equations
    • Friedman M, Ma M, Kandel A (1999) Numerical solution of fuzzy differential and integral equations. Fuzzy Sets Syst 106: 35-48.
    • (1999) Fuzzy Sets Syst , vol.106 , pp. 35-48
    • Friedman, M.1    Ma, M.2    Kandel, A.3
  • 19
    • 26944448929 scopus 로고    scopus 로고
    • Initial value problems for higher-order fuzzy differential equations
    • Georgiou DN, Nieto JJ, Rodriguez R (2005) Initial value problems for higher-order fuzzy differential equations. Nonlinear Anal 63: 587-600.
    • (2005) Nonlinear Anal , vol.63 , pp. 587-600
    • Georgiou, D.N.1    Nieto, J.J.2    Rodriguez, R.3
  • 21
    • 0020745007 scopus 로고
    • Topological properties of fuzzy numbers
    • Goetschel R, Voxman W (1983) Topological properties of fuzzy numbers. Fuzzy Sets Syst 10: 87-99.
    • (1983) Fuzzy Sets Syst , vol.10 , pp. 87-99
    • Goetschel, R.1    Voxman, W.2
  • 22
    • 0038192330 scopus 로고    scopus 로고
    • The oscillation of delay differential inclusions and fuzzy biodynamics models
    • Gue M, Xue X, Li R (2003) The oscillation of delay differential inclusions and fuzzy biodynamics models. Math Comput Model 37: 651-658.
    • (2003) Math Comput Model , vol.37 , pp. 651-658
    • Gue, M.1    Xue, X.2    Li, R.3
  • 23
    • 0042121384 scopus 로고    scopus 로고
    • Implusive functional differential inclusions and fuzzy population models
    • Gue M, Li R (2003) Implusive functional differential inclusions and fuzzy population models. Fuzzy Sets Syst 138: 601-615.
    • (2003) Fuzzy Sets Syst , vol.138 , pp. 601-615
    • Gue, M.1    Li, R.2
  • 24
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • Kaleva O (1987) Fuzzy differential equations. Fuzzy Sets Syst 24: 301-317.
    • (1987) Fuzzy Sets Syst , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 25
    • 0000363222 scopus 로고
    • The Cauchy problem for fuzzy differential equations
    • Kaleva O (1990) The Cauchy problem for fuzzy differential equations. Fuzzy Sets Syst 35: 389-396.
    • (1990) Fuzzy Sets Syst , vol.35 , pp. 389-396
    • Kaleva, O.1
  • 26
    • 70249107118 scopus 로고    scopus 로고
    • New results on multiple solutions for Nth-order fuzzy differential equation under generalized differentiability
    • doi: 10. 1155/2009/395714
    • Khastan A, Bahrami F, Ivaz K (2009) New results on multiple solutions for Nth-order fuzzy differential equation under generalized differentiability. Bound Value Probl (Hindawi Publishing Corporation). doi: 10. 1155/2009/395714.
    • (2009) Bound Value Probl (Hindawi Publishing Corporation)
    • Khastan, A.1    Bahrami, F.2    Ivaz, K.3
  • 27
    • 0000984385 scopus 로고
    • Remarks on Peano-like theorems for fuzzy differential equations
    • Kloeden P (1991) Remarks on Peano-like theorems for fuzzy differential equations. Fuzzy Sets Syst 44: 161-164.
    • (1991) Fuzzy Sets Syst , vol.44 , pp. 161-164
    • Kloeden, P.1
  • 30
    • 0001237908 scopus 로고
    • Differential for fuzzy function
    • Puri ML, Ralescu D (1983) Differential for fuzzy function. J Math Anal Appl 91: 552-558.
    • (1983) J Math Anal Appl , vol.91 , pp. 552-558
    • Puri, M.L.1    Ralescu, D.2
  • 31
    • 0023581045 scopus 로고
    • On the fuzzy initial value problem
    • Seikkala S (1987) On the fuzzy initial value problem. Fuzzy Sets Syst 24: 319-330.
    • (1987) Fuzzy Sets Syst , vol.24 , pp. 319-330
    • Seikkala, S.1
  • 32
    • 0041110206 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
    • Song S, Wu C (2000) Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations. Fuzzy Sets Syst 110: 55-67.
    • (2000) Fuzzy Sets Syst , vol.110 , pp. 55-67
    • Song, S.1    Wu, C.2
  • 33
    • 0032116380 scopus 로고    scopus 로고
    • Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions
    • Wu C, Shiji S (1998) Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions. Inf Sci 108: 123-134.
    • (1998) Inf Sci , vol.108 , pp. 123-134
    • Wu, C.1    Shiji, S.2
  • 34
    • 0032202946 scopus 로고    scopus 로고
    • The improper fuzzy Riemann integral and its numerical integration
    • Wu HC (1999) The improper fuzzy Riemann integral and its numerical integration. Inf Sci 111: 109-137.
    • (1999) Inf Sci , vol.111 , pp. 109-137
    • Wu, H.C.1
  • 35
    • 34548156679 scopus 로고    scopus 로고
    • A class of linear differential dynamical systems with fuzzy initial condition
    • Xu J, Liao Z, Hu Z (2007) A class of linear differential dynamical systems with fuzzy initial condition. Fuzzy Sets Syst 158: 2339-2358.
    • (2007) Fuzzy Sets Syst , vol.158 , pp. 2339-2358
    • Xu, J.1    Liao, Z.2    Hu, Z.3
  • 36
    • 77951208686 scopus 로고    scopus 로고
    • A class of linear differential dynamical systems with fuzzy matrices
    • Xu J, Liao Z, Nieto JJ (2010) A class of linear differential dynamical systems with fuzzy matrices. J Math Anal Appl 368: 54-68.
    • (2010) J Math Anal Appl , vol.368 , pp. 54-68
    • Xu, J.1    Liao, Z.2    Nieto, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.