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 233
k-regularized solutions for abstract volterra equations
Fouad Maragh, Ahmed Fadil
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2205
April 15, 2205

Abstract: The aim of this work is to introduce the domain and the Favard spaces of order $\alpha$ where $\alpha \in ]0, 1]$ for k-regularized resolvent family, extending some of the well-known theorems for semigroup and resolvent family. Furthermore, we show some relationship between the Favard temporal spaces and the Favard frequentiel spaces for scalar Volterra linear systems in Banach spaces.