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

Boubacar Diao, Sylvain Koumla, Alhadiri Moelevou

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.

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Published: 2022-10-06

How to Cite this Article:

Boubacar Diao, Sylvain Koumla, Alhadiri Moelevou, Some results, in the α-norm, for nonlinear integro-differential equations with finite delay, Adv. Fixed Point Theory, 12 (2022), Article ID 11

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.

Advances in Fixed Point Theory

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