We prove the existence of at least one globally attractive mild solution to the equation partial derivative(t) (b * [x -h(., x(.))])(t) + A(x(t) – h (t,x(t))) = f(t, x(t)), t >= 0, under the assumption, among other hypothesis, that A is an almost sectorial operator on a Banach space X and the kernel b belongs to a large class, which covers many relevant cases from physics applications, in particular the important case of time- fractional evolution equations of neutral type.
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Globally Attractive Mild Solutions For Non-Local In Time Subdiffusion Equations Of Neutral Type
