The existence and uniqueness theorems of fuzzy delay differential equations
Keywords:Fuzzy Delay Differential Equation (FDDE), Fuzzy Time-Delay Dynamical Systems, Existence and Uniqueness Theorems|
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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