Approximate-analytical approach to nonlinear FDEs under generalized differentiability

Journal of Advanced Research in Dynamical and Control Systems

Volumn 2, Issue 1, 2010, Pages 56-74

  Fard, O S ^a   Bidgoli, T A ^a   Borzabadi, A H ^a  

^a DAMGHAN UNIVERSITY   (Iran)

Author keywords

Generalized differentiability; Local variational iteration method; Nonlinear fuzzy differential equation

Indexed keywords

EID: 79960561191     PISSN: None     EISSN: 1943023X     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. T. Allahviranloo, A. Panahi, H. Rouhparvar. A copmutational method to find an approxi-mate analytical solution for fuzzy differential equations. Analele Stiintifice ale Universitatii Ovidius Constanta, 2009, 17(1): 5-14.
2. B. Bede. Note on "Numerical solution of fuzzy differential equations by predictor corrector method". Information Sciences, 2008, 178: 1917-1922.
3. B. Bede, S.G. Gal. Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equations. Fuzzy Sets and Systems, 2005, 151: 581-599.
4. Y. Chalco-Cano, H. Roman-Flores. On new solutions of fuzzy differential equations. Chaos, Solitons and Fractals, 2008, 38: 112-119.
5. M. Fridman, M. Ming, A. Kandel. Numerical solution of fuzzy differential calculus. Fuzzy Sets and Systems, 1999, 106: 35-48.
6. R. Goetschal, W. Voxman. Elementary fuzzy calculus. Fuzzy Sets and Systems, 1986, 18: 31-34.
7. J.H. He. Variational iteration method-a kind of nonlinear analytical technique: Some ex-amples. Int. J. Nonlinear Mech., 1999, 34: 699-708.
8. J.H. He. Variational iteration method for autonomous ordinary differential systems. Applied Mathematics and Computation, 2000, 114: 115-123.
9. J.H. He, X.H. Wu. Variational iteration method: new development and applications. Com-puters and Mathematics with Applications, 2007, 54: 881-894.
10. O. Kaleva. Fuzzy differential equations. Fuzzy Sets and Systems, 1987, 24: 301-317.
11. O. Kaleva. A note on fuzzy differential equations. Nonlinear Analysis, 2006, 64: 895-900.
12. C.V. Negoita, D.A. Ralescu. Applications of fuzzy sets to system analysis. Birkhauser, Base, 1975.
13. J.J. Nieto, A. Khastan, K. Ivaz. Numerical solution of fuzzy differential equations under generalized differentiability. Nonlinear Analysis: Hybrid Systems, 2009, 3: 700-707.
14. M. Tatari. A new efficient technique for finding the solution of initial-value problems using He's variational iteration method. Commun. Numer. Meth. Engng. 2009, DOI:10.1002/cnm.1361.
15. S. Song, C. Wu. Existence and uniqueness of solution to Chuchy problem of fuzzy differential equations. Fuzzy Sets and Systems, 2000, 110: 55-67.
16. H.C. Wu. The improper fuzzy Riemann integral and its numerical integration. Information Sciences, 1999, 111: 109-137.