Controllability results in α-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces
Abstract
This work concerns the controllability in the α-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces. We give sufficient conditions ensuring the controllability by assuming that the undelayed part admits a resolvent operator in the sense of Grimmer [7] and that the delayed part is continuous with respect to the fractional power of the generator. The results are obtained using the Schauder’s fixed-point theorem.
Copyright © 2025 Nguessolta Madjissembaye, Djendode Mbainadji, Sylvain Koumla, Issa Zabsonre. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
N. Madjissembaye, D. Mbainadji, S. Koumla, I. Zabsonre, Controllability results in α-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces, J. Math. Comput. Sci. 15 (2025), 4. https://doi.org/10.28919/jmcs/8958
BibTeX
@article{Madjissembaye2025,
author = {Madjissembaye, Nguessolta and Mbainadji, Djendode and Koumla, Sylvain and Zabsonre, Issa},
title = {Controllability results in α-norm for some partial functional integrodifferential equations with infinite delay in Banach spaces},
journal = {J. Math. Comput. Sci.},
volume = {15},
year = {2025},
pages = {4},
doi = {10.28919/jmcs/8958}
}