In this paper, we look at a family of neutral partial functional integrodifferential equations in Banach spaces that have a finite delay. The worldwide existence, uniqueness, and regularity of solutions with values in the subspace D are of interest to us (A). The technique is based on Banach’s fixed point theorem and the graph norm technique. The nonlinear term is regarded as a perturbation of the linear equation in our research. We use a diffusive neutral partial functional integrodifferential equation as an example.

**Author (S) Details**

**Sylvain Koumla
**Departement de Mathematiques, Faculty des Sciences et Techniques, University Adam Barka, B.P. 1117, Abeche, Tchad.

**Djaokamla Temga
**Departement de Mathematiques, Faculty des Sciences et Techniques, University Adam Barka, B.P. 1117, Abeche, Tchad.

**Abdou Sene
**Departement de Mathematiques, University Virtuelle de Dakar, Senegal.

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