메뉴 건너뛰기




Volumn 27, Issue 3, 2014, Pages 1491-1506

Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability

Author keywords

Fuzzy integro differential equations; fuzzy random variable; Hukuhara differentiability; method of successive approximations

Indexed keywords

APPROXIMATION THEORY; INTEGRODIFFERENTIAL EQUATIONS;

EID: 84907017757     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-131116     Document Type: Article
Times cited : (21)

References (39)
  • 1
    • 84878020678 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions of fuzzy volterra integro-differential equations
    • Part II, CCIS 81
    • T. Allahviranloo, S. Hajighasemi, M. Khezerloo, M. Khorasany and S. Salahshour, Existence and uniqueness of solutions of fuzzy volterra integro-differential equations, IPMU 2010, Part II, CCIS 81 (2010), 491-500.
    • (2010) IPMU , vol.2010 , pp. 491-500
    • Allahviranloo, T.1    Hajighasemi, S.2    Khezerloo, M.3    Khorasany, M.4    Salahshour, S.5
  • 4
    • 84893969678 scopus 로고    scopus 로고
    • Note on "Generalized Hukuhara differentiability of interval-valued functions and interval differential equations"
    • T. Allahviranloo and S. Gholami, Note on "Generalized Hukuhara differentiability of interval-valued functions and interval differential equations", Journal of Fuzzy Set Valued Analysis 2012 (2012), 1-4.
    • (2012) Journal of Fuzzy Set Valued Analysis , vol.2012 , pp. 1-4
    • Allahviranloo, T.1    Gholami, S.2
  • 5
    • 84884844153 scopus 로고    scopus 로고
    • Fuzzy fractional differential equations under generalized fuzzy Caputo derivative
    • (in press)
    • T. Allahviranloo, Z. Gouyandeh and A. Armand, Fuzzy fractional differential equations under generalized fuzzy Caputo derivative, Journal of Intelligent and Fuzzy Systems (2013), (in press) DOI 10.3233/IFS-130831.
    • (2013) Journal of Intelligent and Fuzzy Systems
    • Allahviranloo, T.1    Gouyandeh, Z.2    Armand, A.3
  • 6
    • 84897713246 scopus 로고    scopus 로고
    • Fuzzy generalized Hdifferential and applications to fuzzy differential equations of second-order
    • (in press)
    • T. Allahviranloo, L. Hooshangian, Fuzzy generalized Hdifferential and applications to fuzzy differential equations of second-order, Journal of Intelligent and Fuzzy Systems (2013), (in press) DOI 10.3233/IFS-130874.
    • (2013) Journal of Intelligent and Fuzzy Systems
    • Allahviranloo, T.1    Hooshangian, L.2
  • 7
    • 14544296605 scopus 로고    scopus 로고
    • Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
    • B. Bede and S.G. Gal, 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
  • 9
    • 0023548145 scopus 로고
    • A central limits theorem for fuzzy random variables
    • S. Boswel and M. Taylor, A central limits theorem for fuzzy random variables, Fuzzy Sets Syst 24 (1987), 331-343.
    • (1987) Fuzzy Sets Syst , vol.24 , pp. 331-343
    • Boswel, S.1    Taylor, M.2
  • 10
  • 13
    • 33750329419 scopus 로고    scopus 로고
    • Tools for fuzzy random variables: Embeddings and measurabilities
    • M. López-Díaz and D.A. Ralescu, Tools for fuzzy random variables: embeddings and measurabilities, Comput Statist Data Anal 51 (2006), 109-114.
    • (2006) Comput Statist Data Anal , vol.51 , pp. 109-114
    • López-Díaz, M.1    Ralescu, D.A.2
  • 14
    • 10844220554 scopus 로고    scopus 로고
    • Regularity and stopping theorem for fuzzy martingales with continuous parameters
    • W.Y. Fei, Regularity and stopping theorem for fuzzy martingales with continuous parameters, Inform Sci 169 (2005), 175-187.
    • (2005) Inform Sci , vol.169 , pp. 175-187
    • Fei, W.Y.1
  • 15
    • 20444394439 scopus 로고    scopus 로고
    • Onthe theory of (dual) projection for fuzzy stochastic processes
    • W.Y. Fei,Onthe theory of (dual) projection for fuzzy stochastic processes, Stoch Anal Appl 23 (2005), 449-474.
    • (2005) Stoch Anal Appl , vol.23 , pp. 449-474
    • Fei, W.Y.1
  • 16
    • 2442604515 scopus 로고    scopus 로고
    • Doobs decomposition theorem for fuzzy (super) submartingales
    • W.Y. Fei and R.Q. Wu, Doobs decomposition theorem for fuzzy (super) submartingales, Stoch Anal Appl 22 (2004), 627-645.
    • (2004) Stoch Anal Appl , vol.22 , pp. 627-645
    • Fei, W.Y.1    Wu, R.Q.2
  • 17
    • 0037401788 scopus 로고    scopus 로고
    • Doobs stopping theorem for fuzzy (super, sub) martingales with discrete times
    • W.Y. Fei, R.Q. Wu and S.H. Shao, Doobs stopping theorem for fuzzy (super, sub) martingales with discrete times, Fuzzy Sets Syst 135 (2003), 377-390.
    • (2003) Fuzzy Sets Syst , vol.135 , pp. 377-390
    • Fei, W.Y.1    Wu, R.Q.2    Shao, S.H.3
  • 18
    • 34447518790 scopus 로고    scopus 로고
    • Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coeffcients
    • W.Y. Fei, Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coeffcients, Inform Sci 177 (2007), 4329-4337.
    • (2007) Inform Sci , vol.177 , pp. 4329-4337
    • Fei, W.Y.1
  • 20
    • 84897695401 scopus 로고    scopus 로고
    • Fuzzy functional integro differential equations under generalized H-differentiability
    • N.V. Hoa, Phu. N. D, Fuzzy functional integro differential equations under generalized H-differentiability, Journal of Intelligent & Fuzzy Systems, DOI:10.3233/IFS-130883.
    • Journal of Intelligent & Fuzzy Systems
    • Hoa, N.V.1    Phu, N.D.2
  • 23
    • 6344232554 scopus 로고
    • Fuzzy random variables. Part I: Definitions and theorems
    • H. Kwakernaak, Fuzzy random variables. Part I: definitions and theorems, Inform Sci 15 (1978), 1-29.
    • (1978) Inform Sci , vol.15 , pp. 1-29
    • Kwakernaak, H.1
  • 26
    • 64049092703 scopus 로고    scopus 로고
    • On a class of fuzzy functional differential equations
    • V. Lupulescu, On a class of fuzzy functional differential equations, Fuzzy Sets and Systems 160 (2009), 1547-1562.
    • (2009) Fuzzy Sets and Systems , vol.160 , pp. 1547-1562
    • Lupulescu, V.1
  • 28
    • 79961173984 scopus 로고    scopus 로고
    • Interval differential equations with a second type Hukuhara derivative
    • M.T. Malinowski, Interval differential equations with a second type Hukuhara derivative, Applied Mathematics Letters 24 (2011), 2118-2123.
    • (2011) Applied Mathematics Letters , vol.24 , pp. 2118-2123
    • Malinowski, M.T.1
  • 29
    • 80054884842 scopus 로고    scopus 로고
    • Random fuzzy differential equations under generalized Lipschitz condition
    • M.T. Malinowski, Random fuzzy differential equations under generalized Lipschitz condition, Nonlinear Analysis: Real-World Applications 13 (2012), 860-881.
    • (2012) Nonlinear Analysis: Real-World Applications , vol.13 , pp. 860-881
    • Malinowski, M.T.1
  • 30
    • 77953962287 scopus 로고    scopus 로고
    • Existence theorems for solutions to random fuzzy differential equations
    • M.T. Malinowski, Existence theorems for solutions to random fuzzy differential equations, Nonlinear Analysis: Theory, Methods & Applications 73 (2010), 1515-1532.
    • (2010) Nonlinear Analysis: Theory, Methods & Applications , vol.73 , pp. 1515-1532
    • Malinowski, M.T.1
  • 31
    • 69249232212 scopus 로고    scopus 로고
    • On random fuzzy differential equations
    • M.T. Malinowski, On random fuzzy differential equations, Fuzzy Sets and Systems 160 (2009), 3152-3165.
    • (2009) Fuzzy Sets and Systems , vol.160 , pp. 3152-3165
    • Malinowski, M.T.1
  • 32
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • H.T. Nguyen, 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
  • 34
    • 84876982579 scopus 로고    scopus 로고
    • On random fuzzy functional differential equations
    • J. Yeoul Park and J. Ug Jeong, On random fuzzy functional differential equations, Fuzzy Sets and Systems, 223 (2013), 89-99.
    • (2013) Fuzzy Sets and Systems , vol.223 , pp. 89-99
    • Yeoul Park, J.1    Ug Jeong, J.2
  • 35
    • 0000565701 scopus 로고
    • The concept of normality for fuzzy random variables
    • M.L. Puri and D.A. Ralescu, The concept of normality for fuzzy random variables, Ann Probab 13 (1985), 1373-1379.
    • (1985) Ann Probab , vol.13 , pp. 1373-1379
    • Puri, M.L.1    Ralescu, D.A.2
  • 38
    • 67349163185 scopus 로고    scopus 로고
    • Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
    • L. Stefanini and B. Bede, Generalized Hukuhara differentiability of interval-valued functions and interval differential equations, Nonlinear Anal 71 (2009), 1311-1328.
    • (2009) Nonlinear Anal , vol.71 , pp. 1311-1328
    • Stefanini, L.1    Bede, B.2
  • 39
    • 84901799529 scopus 로고    scopus 로고
    • The local existence of solutions for random fuzzy integro-differential equations under generalized H-differentiability
    • Ho Vu, N.V. Hoa and N.D. Phu, The local existence of solutions for random fuzzy integro-differential equations under generalized H-differentiability, Journal of Intelligent & Fuzzy Systems, DOI:10.3233/IFS-130940.
    • Journal of Intelligent & Fuzzy Systems
    • Vu, H.1    Hoa, N.V.2    Phu, N.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.