On the existence of mild solutions for some nonlocal partial neutral integrodifferential equations in α-norm
Jaouad El Matloub and Khalil Ezzinbi
Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P: 2390 Marrakech, Morocco
Received on April 25, 2024
Accepted on May 3, 2024
Communicated by Gaston M. N'Guérékata
| Abstract. In this work, we study the existence of mild solutions in α-norm for a class of nonlocal neutral integrodifferential equations. Our approach relies on the utilization of a fixed-point theorem of Sadovskii-Krasnosel’skii type and the theory of resolvent operators. | |
| Keywords: | Mild solution, nonlocal condition, integrodifferential equation, α-norm, resolvent operator. |
| 2010 Mathematics Subject Classification: 45K05; 47H10; 47D06. | |