Relationship between delay and fractional order differential equation

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There are control systems with delay [1]

There are differential equations with fractional order:

$$D^\alpha x(t)=f(t,x(t))$$

I am wondering why we see control systems with delay and fractional order ODE together a lot in many researches such as [2], [3], [4], [5]?

Is there any relationship between control system with time delay and fractional order to bind them together? or we see them together just because both are under control theory?

I also have found this quote from here:

Therefore, the fractional models are a good and natural alternative to the known classical non-local equations called “delay differential equations”