Numerical methods forfuzzy differential inclusions

Computers and Mathematics with Applications

Volumn 48, Issue 10-11, 2004, Pages 1633-1641

  Abbasbandy, S ^a   Viranloo, T A ^b   Lopez Pouso O ^c   Nieto, J J ^c  

^a IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c Fac De Matemáticas Univ D   (Spain)

Author keywords

Approximation methods; Differential inclusions; Fuzzy initial value problem

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; SET THEORY;

DIFFERENTIAL INCLUSIONS; FUZZY DIFFERENTIAL EQUATION; FUZZY INITIAL VALUE PROBLEM;

FUZZY SETS;

EID: 18144370402     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.03.009     Document Type: Article

References (20)

1. S.L. Chang, and L.A. Zadeh On fuzzy mapping and control IEEE Trans, Systems Man Cybernet. 2 1972 30 34
2. D. Dubois, and H. Prade Towards fuzzy differential calculus: Part 3, differentiation Fuzzy Sets and Systems 8 1982 225 233
3. M.L. Puri, and D.A. Ralescu Differentials of fuzzy functions J. Math. Anal. Appl. 91 1983 321 325
4. R. Goetschel, and W. Voxman Elementary fuzzy calculus Fuzzy Sets and Systems 18 1986 31 43
5. O. Kaleva Fuzzy differential equations Fuzzy Sets and Systems 24 1987 301 317
6. O. Kaleva The Cauchy problem for fuzzy differential equations Fuzzy Sets and Systems 35 1990 389 396
7. S. Seikkala, On the fuzzy initial value problem, Fuzzy Sets and Systems, 24, 319-330 (24)
8. J.J. Nieto The Cauchy problem for continuous fuzzy equations Fuzzy Sets and Systems 102 1999 259 262
9. P. Diamond Brief note on the variation of constants formula for fuzzy differential equations Fuzzy Sets and Systems 129 2002 65 71
10. S. Abbasbandy, and T. Allah Viranloo Numerical solution of fuzzy differential equations by Taylor method Comput. Methods Appl. Math. 2 2002 113 124
11. D. O'Regan, V. Lakshmikantham, and J.J. Nieto Initial and boundary value problems for fuzzy differential equations Nonlinear Analysis 54 2003 405 415
12. E. Hiillermeier An approach to modelling and simulation of uncertain dynamical systems Uncertainty, Fuzziness & Knowledge-Based Systems 5 1997 117 137
13. P. Diamond Stability and periodicity in fuzzy differential equations IEEE Trans. Fuzzy Systems 8 2000 583 590
14. P. Diamond, and P. Kloeden Metric Spaces of Fuzzy Sets 1994 World Scientific Upper Saddle River, NJ
15. L. Fox, and D.F. Mayers Numerical Solution of Ordinary Differential Equations 1987 Chapman & Hall Singapore
16. J.D. Lambert Numerical Methods for Ordinary Differential Systems: The Initial Value Problem 1991 John Wiley & Sons, Ltd. London
17. F.S. de Blasi, and J. Myjak On the solution sets for differential inclusions Bull. Acad. Polon. Sci. 33 1985 17 23
18. P. Diamond Time dependent differential inclusions, cocycle attractors and fuzzy differential equations IEEE Trans. Fuzzy Systems 7 1999 734 740
19. D. Vorobiev, and S. Seikkala Towards the theory of fuzzy differential equations Fuzzy Sets and Systems 125 2002 231 237
20. M. Ma, M. Friedman, and A. Kandel Numerical solutions of fuzzy differential equations Fuzzy Sets and Systems 105 1999 133 138