The existence and uniqueness theorems of fuzzy delay differential equations

Authors

  • Nor Atirah Izzah Zulkefli
  • Normah Maan

DOI:

https://doi.org/10.11113/mjfas.v10n3.280

Keywords:

Fuzzy Delay Differential Equation (FDDE), Fuzzy Time-Delay Dynamical Systems, Existence and Uniqueness Theorems|

Abstract

Delay differential equations (DDEs) arise many different phenomena including in physics, biology and chemistry. In many cases of the modeling of real world problems, information about the behaviour of a dynamical system is uncertain. In order to obtain a more realistic model, we have to take into account these uncertainties. Therefore, in this paper, we propose the existence and uniqueness theorems for fuzzy time-delay dynamical systems. We finally present some conclusions and new directions for further research in this area.

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Published

05-08-2014