Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"

Abstract

In the present note it is shown that the examples presented in a recent paper by Allahviranloo et al., are incorrect. Namely, the ‘‘exact solutions” proposed by the authors are not solutions of the given fuzzy differential equations (FDEs). The correct exact solutions are also presented here, together with some results for characterizing solutions of FDEs under Hukuhara differentiability by an equivalent system of ODEs. In this way a new direction for the numerical solutions of FDEs is proposed. 2007 Elsevier Inc. All rights reserved.

DOI: 10.1016/j.ins.2007.11.016

Cite this paper

@article{Bede2008NoteO, title={Note on "Numerical solutions of fuzzy differential equations by predictor-corrector method"}, author={Barnab{\'a}s Bede}, journal={Inf. Sci.}, year={2008}, volume={178}, pages={1917-1922} }