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Volumn 222, Issue , 2013, Pages 544-558

Periodic boundary value problems for first-order linear differential equations with uncertainty under generalized differentiability

Author keywords

First order fuzzy differential equation; Fuzzy real number; Fuzzy set; Generalized differentiability; Periodic boundary value problem

Indexed keywords

EXISTENCE OF SOLUTIONS; FIRST-ORDER; FUZZY DIFFERENTIAL EQUATIONS; GENERALIZED DIFFERENTIABILITY; LINEAR DIFFERENTIAL EQUATION; LINEAR FUZZY DIFFERENTIAL EQUATIONS; PERIODIC BOUNDARY CONDITIONS; PERIODIC BOUNDARY VALUE PROBLEMS; PERIODIC PHENOMENA; REAL NUMBER; SUFFICIENT CONDITIONS; SWITCHING POINTS;

EID: 84870067035     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.07.057     Document Type: Article
Times cited : (66)

References (37)
  • 1
    • 73249139676 scopus 로고    scopus 로고
    • On the concept of solution for fractional differential equations with uncertainty
    • R.P. Agarwal, V. Lakshmikantham, and J.J. Nieto On the concept of solution for fractional differential equations with uncertainty Nonlinear Analysis 72 2010 2859 2862
    • (2010) Nonlinear Analysis , vol.72 , pp. 2859-2862
    • Agarwal, R.P.1    Lakshmikantham, V.2    Nieto, J.J.3
  • 2
    • 58249122332 scopus 로고    scopus 로고
    • Improved predictor-corrector method for solving fuzzy initial value problems
    • T. Allahviranloo, S. Abbasbandy, N. Ahmady, and E. Ahmady Improved predictor-corrector method for solving fuzzy initial value problems Information Sciences 179 2009 945 955
    • (2009) Information Sciences , vol.179 , pp. 945-955
    • Allahviranloo, T.1    Abbasbandy, S.2    Ahmady, N.3    Ahmady, E.4
  • 3
    • 58349097540 scopus 로고    scopus 로고
    • Solving fuzzy differential equations by differential transformation method
    • T. Allahviranloo, N.A. Kiani, and N. Motamedi Solving fuzzy differential equations by differential transformation method Information Sciences 179 2009 956 966
    • (2009) Information Sciences , vol.179 , pp. 956-966
    • Allahviranloo, T.1    Kiani, N.A.2    Motamedi, N.3
  • 5
    • 33644594289 scopus 로고    scopus 로고
    • A note on two-point boundary value problems associated with non-linear fuzzy differential equations
    • B. Bede A note on two-point boundary value problems associated with non-linear fuzzy differential equations Fuzzy Sets and Systems 157 2006 986 989
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 986-989
    • Bede, B.1
  • 6
    • 4544258343 scopus 로고    scopus 로고
    • Almost periodic fuzzy-number-valued functions
    • B. Bede, and S.G. Gal Almost periodic fuzzy-number-valued functions Fuzzy Sets and Systems 147 2004 385 403
    • (2004) Fuzzy Sets and Systems , vol.147 , pp. 385-403
    • Bede, B.1    Gal, S.G.2
  • 7
    • 14544296605 scopus 로고    scopus 로고
    • Generalizations of the differentiability of fuzzy number value functions with applications to fuzzy differential equations
    • B. Bede, and S.G. Gal Generalizations of the differentiability of fuzzy number value 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
  • 8
    • 33846224330 scopus 로고    scopus 로고
    • First order linear fuzzy differential equations under generalized differentiability
    • B. Bede, I.J. Rudas, and A.L. Bencsik First order linear fuzzy differential equations under generalized differentiability Information Sciences 177 2007 1648 1662
    • (2007) Information Sciences , vol.177 , pp. 1648-1662
    • Bede, B.1    Rudas, I.J.2    Bencsik, A.L.3
  • 11
    • 64049113935 scopus 로고    scopus 로고
    • Comparation between some approaches to solve fuzzy differential equations
    • Y. Chalco-Cano, and H. Román-Flores Comparation between some approaches to solve fuzzy differential equations Fuzzy Sets and Systems 160 2009 1517 1527
    • (2009) Fuzzy Sets and Systems , vol.160 , pp. 1517-1527
    • Chalco-Cano, Y.1    Román-Flores, H.2
  • 13
    • 44649165913 scopus 로고    scopus 로고
    • Two-point boundary value problems of undamped uncertain dynamical systems
    • M. Chen, Y. Fu, X. Xue, and C. Wu Two-point boundary value problems of undamped uncertain dynamical systems Fuzzy Sets and Systems 159 2008 2077 2089
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 2077-2089
    • Chen, M.1    Fu, Y.2    Xue, X.3    Wu, C.4
  • 14
    • 84862786091 scopus 로고    scopus 로고
    • Some topological properties of solutions to fuzzy differential systems
    • M. Chen, and C. Han Some topological properties of solutions to fuzzy differential systems Information Sciences 197 2012 207 214
    • (2012) Information Sciences , vol.197 , pp. 207-214
    • Chen, M.1    Han, C.2
  • 15
    • 78049421550 scopus 로고    scopus 로고
    • Periodic problems of first order uncertain dynamical systems
    • M. Chen, D. Li, and X. Xue Periodic problems of first order uncertain dynamical systems Fuzzy Sets and Systems 162 2011 67 78
    • (2011) Fuzzy Sets and Systems , vol.162 , pp. 67-78
    • Chen, M.1    Li, D.2    Xue, X.3
  • 17
    • 0033281106 scopus 로고    scopus 로고
    • Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations
    • P. Diamond Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations IEEE Transactions on Fuzzy Systems 7 1999 734 740
    • (1999) IEEE Transactions on Fuzzy Systems , vol.7 , pp. 734-740
    • Diamond, P.1
  • 19
    • 0020184062 scopus 로고
    • Towards fuzzy differential calculus: Part 3, differentiation
    • D. Dubois, and H. Prade Towards fuzzy differential calculus: part 3, differentiation Fuzzy Sets and Systems 8 1982 225 233
    • (1982) Fuzzy Sets and Systems , vol.8 , pp. 225-233
    • Dubois, D.1    Prade, H.2
  • 20
    • 75149175056 scopus 로고    scopus 로고
    • Artificial neural network approach for solving fuzzy differential equations
    • S. Effati, and M. Pakdaman Artificial neural network approach for solving fuzzy differential equations Information Sciences 180 2010 1434 1457
    • (2010) Information Sciences , vol.180 , pp. 1434-1457
    • Effati, S.1    Pakdaman, M.2
  • 21
    • 79960565924 scopus 로고    scopus 로고
    • Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients
    • O.S. Fard, and N. Ghal-Eh Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients Information Sciences 181 2011 4765 4779
    • (2011) Information Sciences , vol.181 , pp. 4765-4779
    • Fard, O.S.1    Ghal-Eh, N.2
  • 23
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • O. Kaleva Fuzzy differential equations Fuzzy Sets and Systems 24 1987 301 317
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 24
    • 30144435903 scopus 로고    scopus 로고
    • A note on fuzzy differential equations
    • O. Kaleva A note on fuzzy differential equations Nonlinear Analysis 64 2006 895 900
    • (2006) Nonlinear Analysis , vol.64 , pp. 895-900
    • Kaleva, O.1
  • 25
    • 70249107118 scopus 로고    scopus 로고
    • New Results on Multiple Solutions for Nth-order Fuzzy Differential Equations under Generalized Differentiability
    • Article ID 395714
    • A. Khastan, F. Bahrami, K. Ivaz, New Results on Multiple Solutions for Nth-order Fuzzy Differential Equations under Generalized Differentiability, Boundary Value Problems, Article ID 395714, 2009, 13 pp.
    • (2009) Boundary Value Problems , pp. 13
    • Khastan, A.1    Bahrami, F.2    Ivaz, K.3
  • 26
    • 76549132342 scopus 로고    scopus 로고
    • A boundary value problem for second order fuzzy differential equations
    • A. Khastan, and J.J. Nieto A boundary value problem for second order fuzzy differential equations Nonlinear Analysis 72 2010 3583 3593
    • (2010) Nonlinear Analysis , vol.72 , pp. 3583-3593
    • Khastan, A.1    Nieto, J.J.2
  • 27
    • 84884675846 scopus 로고    scopus 로고
    • Fuzzy differential equations without fuzzy convexity
    • in press
    • P.E. Kloeden, T. Lorenz, Fuzzy differential equations without fuzzy convexity, Fuzzy Sets and Systems, in press, http://dx.doi.org/10.1016/j.fss. 2012.01.012.
    • Fuzzy Sets and Systems
    • Kloeden, P.E.1    Lorenz, T.2
  • 28
    • 64049092703 scopus 로고    scopus 로고
    • On a class of fuzzy functional differential equation
    • V. Lupulescu On a class of fuzzy functional differential equation Fuzzy Sets and Systems 160 2009 1547 1562
    • (2009) Fuzzy Sets and Systems , vol.160 , pp. 1547-1562
    • Lupulescu, V.1
  • 29
    • 68749120554 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations under generalized differentiability
    • J.J. Nieto, A. Khastan, and K. Ivaz Numerical solution of fuzzy differential equations under generalized differentiability Nonlinear Analysis: Hybrid Systems 3 2009 700 707
    • (2009) Nonlinear Analysis: Hybrid Systems , vol.3 , pp. 700-707
    • Nieto, J.J.1    Khastan, A.2    Ivaz, K.3
  • 33
    • 84875271911 scopus 로고    scopus 로고
    • Resolution of fuzzy relational equations - Method, algorithm and software with applications
    • in press
    • K. Peeva, Resolution of fuzzy relational equations - method, algorithm and software with applications, Information Sciences, in press, http://dx.doi.org/10.1016/j.ins.2011.04.011.
    • Information Sciences
    • Peeva, K.1
  • 35
    • 41549112387 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive fuzzy differential equations
    • R. Rodríguez-López Periodic boundary value problems for impulsive fuzzy differential equations Fuzzy Sets and Systems 159 2008 1384 1409
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1384-1409
    • Rodríguez-López, R.1
  • 36
    • 77949914993 scopus 로고    scopus 로고
    • A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
    • L. Stefanini A generalization of Hukuhara difference and division for interval and fuzzy arithmetic Fuzzy Sets and Systems 161 2010 1564 1584
    • (2010) Fuzzy Sets and Systems , vol.161 , pp. 1564-1584
    • Stefanini, L.1
  • 37
    • 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 Analysis: Theory, Methods & Applications 71 2009 1311 1328
    • (2009) Nonlinear Analysis: Theory, Methods & Applications , vol.71 , pp. 1311-1328
    • Stefanini, L.1    Bede, B.2


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