On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
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abstract
We are concerned with the existence of mild solutions to the Cauchy problem for fractional evolution equations of neutral type with almost sectorial operators dq/dtq (x(t) - h(t, x(t))) = -A(x(t) - h(t, x(t))) + f (t, x(t)), t > 0, x(0) = x0, where 0