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Fuzzy ordinary differential equation (I)

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  • Bing-yuan Cao

    (Guangzhou University)

Abstract

Fuzzy ordinary differential equation has been studied in many ways. In this paper we put forward concepts of ordinary differential equation of a fuzzy-valued function for the first time, discuss the existence and uniqueness of the solution at common points by applying decomposition theorem in fuzzy sets as well, so that a solution is obtained for the equation. Finally the method proves to be feasible and effective by a numerical example.

Suggested Citation

  • Bing-yuan Cao, 2010. "Fuzzy ordinary differential equation (I)," Fuzzy Information and Engineering, Springer, vol. 2(3), pages 269-281, September.
    • Handle: RePEc:spr:fuzinf:v:2:y:2010:i:3:d:10.1007_s12543-010-0049-2
    DOI: 10.1007/s12543-010-0049-2
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