Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 17
Existence of solutions in the α-norm for some partial integrodifferential equations involving the nonlocal conditions
Jaouad El Matloub, Khalil Ezzinbi, Saifeddine Ghnimi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
October 31, 2021
March 03, 2033
April 15, 2033

Abstract: In this work, we study the global existence of mild solutions in α-norm for a class of nonlocal integrodifferential equations. We use the theory of resolvent operators introduced by R. Grimmer. Our analysis is based on the Leray-Schauder alternative and a fixed point theorem of Sadovskii-Krasnosel'skii type.