Existence and regularity of solutions in $$\alpha $$-norm for some partial functional integrodifferential equations in banach spaces

In this work, we study the existence and regularity of solutions in $$\alpha $$-norm for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator, the delayed part is assumed to be locally lipschitz. Firstly, we show the existence of mild solutions. Secondly, we give sufficiently conditions ensuring the existence of strict solutions.