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Firstly, we consider fractional differential equations with infinite delay.
This paper studies fractional evolution equations with infinite delay.
Applications on Volterra difference equations with infinite delay are shown.
We consider the logistic equation with infinite delay.
Chen et al. [18] proposed a two dimensional Gilpin-Ayala competition system with infinite delay.
Zhou in [5] discussed the existence and uniqueness for fractional neutral differential equations with infinite delay.
It is clear that this equation can be considered as an equation with infinite delay.
The NSPE is a special class of NFDEs with infinite delay.
It is easy to see that NSPE (4) is a class of NSFDEs with infinite delay.
Shen and Sun [21] investigated the approximate controllability of stochastic impulsive functional systems with infinite delay.
In 1980, Corduneana et al. [6] summarized the theory of functional differential equations with infinite delay.
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