On the existence of mild solutions for some nonlocal partial neutral integrodifferential equations in \(\alpha\)-norm (Q6670512)

TIn this paper, the authors study the existence of mild solutions in \(\alpha\)-norm for a class of nonlocal integrodifferential equations. In recent years, the theory of partial neutral integrodifferential equations with nonlocal conditions received a keen interest due to their applications in many practical dynamical phenomena arising in physics, technical sciences, engineering and economy. The importance of nonlocal conditions is manifested in their better effects in applications than the classical initial conditions. The existence of mild solutions is proved by using the theory of resolvent operators and a fixed-point theorem of Sadovskii-Krasnosel'skii type.