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Nondensely defined partial neutral functional integrodifferential equations with Infinite delay under the light of integrated resolvent operators

Matloub Jaouad, Ezzinbi Khalil

Journal of Applied Analysis

2024

Vol. 30, nr 1

17--34

In this work, we mainly focus on the local existence and regularity of integral solutions for a class of nondensely defined partial neutral functional integrodifferential equations with unbounded delay. We use the theory of integrated resolvent operators introduced by Oka [H. Oka, Integrated resolvent operators, J. Integral Equations Appl. 7 (1995), no. 2, 193-232]. Finally, we provide an example to demonstrate the basic findings of our work.