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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 12 (2022), Article ID 11

Some results, in the α-norm, for nonlinear integro-differential equations with finite delay

Boubacar Diao, Sylvain Koumla, Alhadiri Moelevou

PDF (168.2 KB) https://doi.org/10.28919/afpt/7692

Abstract

In this paper, we consider, in a general Banach space, a nonlinear integro-differential equation with finite delay. The nonlinear part is assumed to be continuous with respect to a fractional power of the linear part in the second variable. Using the semigroup theory, we prove some qualitative and quantitative results under the alpha norm. An application is provided to illustrate our results.

Published
6 October 2022
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2022 Boubacar Diao, Sylvain Koumla, Alhadiri Moelevou. 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

B. Diao, S. Koumla, A. Moelevou, Some results, in the α-norm, for nonlinear integro-differential equations with finite delay, Adv. Fixed Point Theory 12 (2022), 11. https://doi.org/10.28919/afpt/7692

BibTeX
@article{Diao2022,
  author  = {Diao, Boubacar and Koumla, Sylvain and Moelevou, Alhadiri},
  title   = {Some results, in the α-norm, for nonlinear integro-differential equations with finite delay},
  journal = {Adv. Fixed Point Theory},
  volume  = {12},
  year    = {2022},
  pages   = {11},
  doi     = {10.28919/afpt/7692}
}