Fuzzy differential equations

  1. M. Janssen, P. Van Hentenryck, and Y. Deville.
    A Constraint Satisfaction Approach for Enclosing Solutions
    to Parametric Ordinary Differential Equations.
    To appear in SIAM Journal on Numerical Analysis.
    [ Download ]

  2. J. J. Buckley , T. Feuring , Y. Hayashi, 2002,
    Solving fuzzy equations using evolutionary algorithms and neural nets
    Soft Computing,Volume 6, Issue 2, pp 116-123
    [ Download ]

  3. Diamond, Phil, 2002,
    Brief note on the variation of constants formula for fuzzy differential equations
    Fuzzy Sets and Systems Volume: 129, Issue: 1, July 1, 2002, pp. 65-71
    [ Download (ICM) ]

  4. Gong, Zengtai; Wu, Congxin, 2002,
    Bounded variation, absolute continuity and absolute integrability for fuzzy-number-valued functions
    Fuzzy Sets and Systems Volume: 129, Issue: 1, July 1, 2002, pp. 83-94
    [ Download (ICM) ]

  5. Gong, Zengtai; Wu, Congxin; Li, Baolin, 2002,
    On the problem of characterizing derivatives for the fuzzy-valued functions
    Fuzzy Sets and Systems Volume: 127, Issue: 3, May 1, 2002, pp. 315-322
    [ Download (ICM) ]

  6. Papaschinopoulos, G.; Papadopoulos, Basil K., 2002,
    On the fuzzy difference equation xn+1=A+xn/xn-m
    Fuzzy Sets and Systems Volume: 129, Issue: 1, July 1, 2002, pp. 73-81
    [ Download (ICM) ]

  7. Vorobiev, Dmitri; Seikkala, Seppo, 2002,
    Towards the theory of fuzzy differential equations
    Fuzzy Sets and Systems Volume: 125, Issue: 2, January 16, 2002, pp. 231-237
    [ Download (ICM) ]

  8. Wu, Jianrong , 2002,
    An embedding theorem for fuzzy numbers on Banach spaces and its applications
    Fuzzy Sets and Systems Volume: 129, Issue: 1, July 1, 2002, pp. 57-63
    [ Download (ICM) ]

  9. Xue, Xiaoping; Fu, Yongqiang, 2002,
    Carathéodory solutions of fuzzy differential equations
    Fuzzy Sets and Systems Volume: 125, Issue: 2, January 16, 2002, pp. 239-243
    [ Download (ICM) ]

  10. Zhang, Bokan, 2002,
    On integrals of n-dimensional fuzzy-number-valued functions
    Fuzzy Sets and Systems Volume: 127, Issue: 3, May 1, 2002, pp. 371-376
    [ Download (ICM) ]

  11. Akpan, U.O.; Koko, T.S.; Orisamolu, I.R.; Gallant, B.K., 2001,
    Practical fuzzy finite element analysis of structures
    Finite Elements in Analysis and Design Volume: 38, Issue: 2, December, 2001, pp. 93-111
    [ Download (ICM) ]

  12. Balasubramaniam, P.; Muralisankar, S., 2001,
    Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation
    Computers and Mathematics with Applications Volume: 42, Issue: 6-7, September - October, 2001, pp. 961-967
    [ Download (ICM) ]

  13. Balasubramaniam, P.; Muralisankar, S., 2001,
    Existence and uniqueness of fuzzy solution for the nonlinear fuzzy integrodifferential equations
    Applied Mathematics Letters Volume: 14, Issue: 4, 2001, pp. 455-462
    [ Download (ICM) ]

  14. Buckley, James J.; Feuring, Thomas, 2001,
    Fuzzy initial value problem for Nth-order linear differential equations
    Fuzzy Sets and Systems Volume: 121, Issue: 2, July 16, 2001, pp. 247-255
    [ Download (ICM) ]

  15. Cho, Sung Jin; Lee, Byung Soo; Lee, Gue Myung; Kim, Do Sang, 2001,
    Fuzzy integrals for set-valued mappings
    Fuzzy Sets and Systems Volume: 117, Issue: 3, February 1, 2001, pp. 333-337
    [ Download (ICM) ]

  16. Feng, Yuhu, 2001,
    Fuzzy-valued mappings with finite variation, fuzzy-valued measures and fuzzy-valued Lebesgue–Stieltjes integrals
    Fuzzy Sets and Systems Volume: 121, Issue: 2, July 16, 2001, pp. 227-236
    [ Download (ICM) ]

  17. Park, J.Y.; Jung, I.H.; Lee, M.J., 2001,
    Almost periodic solutions of fuzzy systems
    Fuzzy Sets and Systems Volume: 119, Issue: 3, May 1, 2001, pp. 367-373
    [ Download (ICM) ]

  18. Qiu, Jiqing; Wu, Congxin; Li, Fachao, 2001,
    On the restudy of fuzzy complex analysis: Part II. The continuity and differentiation of fuzzy complex functions
    Fuzzy Sets and Systems Volume: 120, Issue: 3, June 16, 2001, pp. 517-521
    [ Download (ICM) ]

  19. Sandler, U.; Tsitolovsky, L. , 2001,
    Fuzzy dynamics of brain activity
    Fuzzy Sets and Systems Volume: 121, Issue: 2, July 16, 2001, pp. 237-245
    [ Download (ICM) ]

  20. Wang, Xizhao; Zhong, Zimian; Ha, Minghu, 2001,
    Iteration algorithms for solving a system of fuzzy linear equations
    Fuzzy Sets and Systems Volume: 119, Issue: 1, April 1, 2001, pp. 121-128
    [ Download (ICM) ]

  21. Wu, Congxin; Gong, Zengtai, 2001,
    On Henstock integral of fuzzy-number-valued functions (I)
    Fuzzy Sets and Systems Volume: 120, Issue: 3, June 16, 2001, pp. 523-532
    [ Download (ICM) ]

  22. Wu, Jianrong; Wu, Congxin, 2001,
    The w-derivatives of fuzzy mappings in Banach spaces
    Fuzzy Sets and Systems Volume: 119, Issue: 3, May 1, 2001, pp. 375-381
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  23. Bassanezi, Rodney C.; de Barros, Laécio C.; Tonelli, Pedro A., 2000,
    Attractors and asymptotic stability for fuzzy dynamical systems
    Fuzzy Sets and Systems Volume: 113, Issue: 3, August 1, 2000, pp. 473-483
    [ Download (ICM) ]

  24. Buckley, James J.; Feuring, Thomas, 2000,
    Fuzzy differential equations
    Fuzzy Sets and Systems Volume: 110, Issue: 1, February 16, 2000, pp. 43-54
    [ Download (ICM) ]

  25. Chalco-Cano, Y.; Rojas-Medar, M.A.; Román-Flores, H., 2000,
    M-Convex Fuzzy Mappings and Fuzzy Integral Mean
    Computers and Mathematics with Applications Volume: 40, Issue: 10-11, November - December, 2000, pp. 1117-1126 [ Download (ICM) ]

  26. Cherki, A.; Plessis, G.; Lallemand, B.; Tison, T.; Level, P., 2000,
    Fuzzy behavior of mechanical systems with uncertain boundary conditions
    Computer Methods in Applied Mechanics and Engineering Volume: 189, Issue: 3, September 15, 2000, pp. 863-873
    [ Download (ICM) ]

  27. Diamond, P.; Watson, P., 2000,
    Regularity of Solution Sets for Differential Inclusions Quasi-Concave in a Parameter
    Applied Mathematics Letters Volume: 13, Issue: 1, January, 2000, pp. 31-35
    [ Download (ICM) ]

  28. Ding, Zouhua; Ma, Ming; Kandel, Abraham, 2000,
    On the observability of fuzzy dynamical control systems (I)
    Fuzzy Sets and Systems Volume: 111, Issue: 2, April 16, 2000, pp. 225-236
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  29. Ding, Zouhua; Kandel, Abraham , 2000,
    On the observability of fuzzy dynamical control systems (II)
    Fuzzy Sets and Systems Volume: 115, Issue: 2, October 16, 2000, pp. 261-277
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  30. Lakshmikantham, V.; Vatsala, A.S., 2000,
    Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations
    Journal of Computational and Applied Mathematics Volume: 113, Issue: 1-2, January 1, 2000, pp. 195-200
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  31. Park, Jong Yeoul; Han, Hyo Keun, 2000,
    Fuzzy differential equations
    Fuzzy Sets and Systems Volume: 110, Issue: 1, February 16, 2000, pp. 69-77
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  32. Park, Jong-Yeoul; Han, Hyo Keun; Son, Kuk-Hyeon, 2000,
    Fuzzy differential equation with nonlocal condition
    Fuzzy Sets and Systems Volume: 115, Issue: 3, November 1, 2000, pp. 365-369
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  33. Park, Jong Yeoul; Jeong, Jae Ug , 2000,
    On the existence and uniqueness of solutions of fuzzy Volterra–Fredholm integral equations
    Fuzzy Sets and Systems Volume: 115, Issue: 3, November 1, 2000, pp. 425-431
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  34. Pearson, D. W., 2000,
    Simplex Type Differential Inclusions
    Applied Mathematics Letters Volume: 13, Issue: 4, May, 2000, pp. 17-21
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  35. Song, Shiji; Guo, Lei; Feng, Chunbo, 2000,
    Global existence of solutions to fuzzy differential equations
    Fuzzy Sets and Systems Volume: 115, Issue: 3, November 1, 2000, pp. 371-376
    [ Download (ICM) ]

  36. Song, Shiji; Wu, Congxin, 2000,
    Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
    Fuzzy Sets and Systems Volume: 110, Issue: 1, February 16, 2000, pp. 55-67
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  37. Wu, Congxin; Gong, Zengtai , 2000,
    On Henstock integrals of interval-valued functions and fuzzy-valued functions
    Fuzzy Sets and Systems Volume: 115, Issue: 3, November 1, 2000, pp. 377-391
    [ Download (ICM) ]

  38. Yoshida, Yuji, 2000,
    A continuous-time dynamic fuzzy system. (I). A limit theorem
    Fuzzy Sets and Systems Volume: 113, Issue: 3, August 1, 2000, pp. 453-460
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  39. Yoshida, Yuji, 2000,
    A continuous-time dynamic fuzzy system. (II). Fuzzy potentials
    Fuzzy Sets and Systems Volume: 113, Issue: 3, August 1, 2000, pp. 461-472
    [ Download (ICM) ]

  40. Buckley, James J.; Feuring, Thomas , 1999,
    Introduction to fuzzy partial differential equations
    Fuzzy Sets and Systems Volume: 105, Issue: 2, July 16, 1999, pp. 241-248
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  41. Buckley, James J.; Feuring, Thomas, 1999,
    Comments on “Frequency/time domain methods for solutions of N-order fuzzy differential equations” by Zhang, Wang and Liu
    Fuzzy Sets and Systems Volume: 105, Issue: 1, July 1, 1999, pp. 185-186
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  42. Cho, Sung-Jin; Lee, Byung-Soo; Lee, Gue-Myung; Kim, Do-Sang; Song, Yeoul-Ouk, 1999,
    Fubini theorem for generalized fuzzy number-valued integrals
    Fuzzy Sets and Systems Volume: 105, Issue: 1, July 1, 1999, pp. 177-179
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  43. Deeba, E. Y.; de Korvin, A., 1999,
    Analysis by Fuzzy Difference Equations of a Model of CO2 Level in the Blood
    Applied Mathematics Letters Volume: 12, Issue: 3, May, 1999, pp. 33-40
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  44. Friedman, Menahem; Ma, Ming; Kandel, Abraham , 1999,
    Numerical solutions of fuzzy differential and integral equations
    Fuzzy Sets and Systems Volume: 106, Issue: 1, August 16, 1999, pp. 35-48
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  45. Friedman, Y.; Sandler, U., 1999,
    Fuzzy dynamics as an alternative to statistical mechanics
    Fuzzy Sets and Systems Volume: 106, Issue: 1, August 16, 1999, pp. 61-74
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  46. Kalina, M., 1999,
    Fuzzy smoothness and sequences of fuzzy smooth functions
    Fuzzy Sets and Systems Volume: 105, Issue: 2, July 16, 1999, pp. 233-239
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  47. Ma, Ming; Friedman, Menahem; Kandel, Abraham, 1999,
    Numerical solutions of fuzzy differential equations
    Fuzzy Sets and Systems Volume: 105, Issue: 1, July 1, 1999, pp. 133-138
    [ Download (ICM) ]

  48. Nieto, Juan J., 1999,
    The Cauchy problem for continuous fuzzy differential equations
    Fuzzy Sets and Systems Volume: 102, Issue: 2, March 1, 1999, pp. 259-262
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  49. Park, Jong Yeoul; Han, Hyo Keun, 1999,
    Existence and uniqueness theorem for a solution of fuzzy Volterra integral equations
    Fuzzy Sets and Systems Volume: 105, Issue: 3, August 1, 1999, pp. 481-488
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  50. Song, Shiji; Liu, Qin-yu; Xu, Qi-chun, 1999,
    Existence and comparison theorems to Volterra fuzzy integral equation in (En, D)
    Fuzzy Sets and Systems Volume: 104, Issue: 2, June 1, 1999, pp. 315-321
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  51. Xiaoping, Xue; Xiaomin, Wang; Lizhong, Wu, 1999,
    On the convergence and representation of random fuzzy number integrals
    Fuzzy Sets and Systems Volume: 103, Issue: 1, April 1, 1999, pp. 115-125
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  52. Friedman, Menahem; Ming, Ma; Kandel, Abraham, 1998,
    The Peano theorem for fuzzy differential equations revisited
    Fuzzy Sets and Systems Volume: 98, Issue: 1, August 16, 1998, pp. 149
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  53. Kaleva, Osmo, 1998,
    The Peano theorem for fuzzy differential equations revisited
    Fuzzy Sets and Systems Volume: 98, Issue: 1, August 16, 1998, pp. 147-148
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  54. Wu, Congxin; Song, Shiji, 1998,
    Existence theorem to the Cauchy problem of fuzzy differential equations under compactness-type conditions Information Sciences Volume: 108, Issue: 1-4, July, 1998, pp. 123-134
    [ Download (ICM) ]

  55. Zhang, Yue; Wang, Guangyuan; Liu, Sufang, 1998,
    Frequency domain methods for the solutions of N-order fuzzy differential equations
    Fuzzy Sets and Systems Volume: 94, Issue: 1, February 16, 1998, pp. 45-59
    [ Download (ICM) ]

  56. Zhang, Yue; Qiao, Zhong; Wang, Guangyuan, 1998,
    Solving processes for a system of first-order fuzzy differential equations
    Fuzzy Sets and Systems Volume: 95, Issue: 3, May 1, 1998, pp. 333-347
    [ Download (ICM) ]

  57. Zhang, Yue; Wang, Guangyuan, 1998,
    Time domain methods for the solutions of N-order fuzzy differential equations
    Fuzzy Sets and Systems Volume: 94, Issue: 1, February 16, 1998, pp. 77-92
    [ Download (ICM) ]

  58. Buckley, J.J.; Eslami, E., 1997,
    Neural net solutions to fuzzy problems: The quadratic equation
    Fuzzy Sets and Systems Volume: 86, Issue: 3, March 16, 1997, pp. 289-298
    [ Download (ICM) ]

  59. Buckley, James J.; Eslami, Esfandiar; Hayashi, Yoichi, 1997,
    Solving fuzzy equations using neural nets
    Fuzzy Sets and Systems Volume: 86, Issue: 3, March 16, 1997, pp. 271-278
    [ Download (ICM) ]

  60. Burczynski, Tadeusz; Skrzypczyk, Jerzy, 1997,
    Fuzzy aspects of the boundary element method
    Engineering Analysis with Boundary Elements Volume: 19, Issue: 3, April, 1997, pp. 209-216
    [ Download (ICM) ]

  61. Diamond, Phil; Kloeden, Peter; Pokrovskii, Aleksej, 1997,
    Absolute retracts and a general fixed point theorem for fuzzy sets
    Fuzzy Sets and Systems Volume: 86, Issue: 3, March 16, 1997, pp. 377-380
    [ Download (ICM) ]

  62. Ding, Zouhua; Ming, Ma; Kandel, Abraham, 1997,
    Existence of the Solutions of Fuzzy Differential Equations with Parameters
    Information Sciences Volume: 99, Issue: 3-4, July, 1997, pp. 205-217
    [ Download (ICM) ]

  63. Friedman, Menahem; Ming, Ma; Kandel, Abraham, 1997,
    On the validity of the Peano theorem for fuzzy differential equations
    Fuzzy Sets and Systems Volume: 86, Issue: 3, March 16, 1997, pp. 331-334
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  64. Jong Yeoul, Park; Hyo Keun, Han; Jae Ug, Jeong, 1997,
    Asymptotic behavior of solutions of fuzzy differential equations
    Fuzzy Sets and Systems Volume: 91, Issue: 3, November 1, 1997, pp. 361-364
    [ Download (ICM) ]

  65. Li, Chen; Rao, S.S., 1997,
    Fuzzy finite-element approach for the vibration analysis of imprecisely-defined systems
    Finite Elements in Analysis and Design Volume: 27, Issue: 1, September 30, 1997, pp. 69-83
    [ Download (ICM) ]

  66. Pearson, D. W., 1997,
    A Property of Linear Fuzzy Differential Equations
    Applied Mathematics Letters Volume: 10, Issue: 3, May, 1997, pp. 99-103
    [ Download (ICM) ]

  67. Schulz, K.; Huwe, B., 1997,
    Water flow modeling in the unsaturated zone with imprecise parameters using a fuzzy approach Journal of Hydrology Volume: 201, Issue: 1-4, December 20, 1997, pp. 211-229
    [ Download (ICM) ]

  68. Yoshida, Y., 1997,
    The Optimal Stopped Fuzzy Rewards in Some Continuous-Time Dynamic Fuzzy Systems
    Mathematical and Computer Modelling Volume: 26, Issue: 5, September, 1997, pp. 53-66
    [ Download (ICM) ]

  69. Yun, Kyong Kim; Byung, Moon Ghil, 1997,
    Integrals of fuzzy-number-valued functions
    Fuzzy Sets and Systems Volume: 86, Issue: 2, March 1, 1997, pp. 213-222
    [ Download (ICM) ]

  70. Friedman, Yaakov; Sandler, Uziel, 1996,
    Evolution of systems under fuzzy dynamic laws
    Fuzzy Sets and Systems Volume: 84, Issue: 1, November 25, 1996, pp. 61-74
    [ Download (ICM) ]

  71. Subrahmanyam, P.V.; Sudarsanam, S.K., 1996,
    A note on fuzzy Volterra integral equations
    Fuzzy Sets and Systems Volume: 81, Issue: 2, July 22, 1996, pp. 237-240
    [ Download (ICM) ]

  72. Buckley, J.J., 1995,
    Joint solution to fuzzy programming problems
    Fuzzy Sets and Systems Volume: 72, Issue: 2, June 9, 1995, pp. 215-220
    [ Download (ICM) ]

  73. Leland, Robert Patton, 1995,
    Fuzzy differential systems and Malliavin calculus
    Fuzzy Sets and Systems Volume: 70, Issue: 1, February 24, 1995, pp. 59-73
    [ Download (ICM) ]

  74. Otto, Kevin N.; Lewis, Andrew D.; Antonsson, Erik K., 1995,
    Membership induced on manifolds by vector fields and flows
    Fuzzy Sets and Systems Volume: 70, Issue: 1, February 24, 1995, pp. 15-29
    [ Download (ICM) ]

  75. Park, Jong Yeoul; Kwun, Young Chel; Jeong, Jae Ug , 1995,
    Existence of solutions of fuzzy integral equations in Banach spaces
    Fuzzy Sets and Systems Volume: 72, Issue: 3, June 23, 1995, pp. 373-378
    [ Download (ICM) ]

  76. Zhang, Kun-Lun, 1995,
    On fuzzy bilinear equations
    Fuzzy Sets and Systems Volume: 76, Issue: 1, November 24, 1995, pp. 91-96
    [ Download (ICM) ]

  77. Zhang, Deli; Guo, Caimei, 1995,
    Fuzzy integrals of set-valued mappings and fuzzy mappings
    Fuzzy Sets and Systems Volume: 75, Issue: 1, October 13, 1995, pp. 103-109
    [ Download (ICM) ]

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