@Article{AJIAM-1-74,
author = {Mbainadji , DjendodeMbainaissem , Teubé Cyrille and Zabsonre , Issa},
title = {Square-Mean Pseudo Almost Periodic Solutions of Infinite Class in the $α$-Norm under the Light of Measure Theory},
journal = {African Journal for Industrial and Applied Mathematics},
year = {2025},
volume = {1},
number = {1},
pages = {74--112},
abstract = {<p style="text-align: justify;">This work concerns the existence and uniqueness of square-mean pseudo
almost periodic solutions of infinite class in the $\alpha$-norm. The results are obtained
using analytic semigroup, fractional $\alpha$-power theory and by making use of Banach fixed point theory. As a result, we obtain a generalization of the work of Zabsonre et al. [Partial Differential Equations and Applications: Colloquium in Honor
of Hamidou Touré, Springer, 2023] in the deterministic case, without unbounded
delay. Our results extend and complement many other important results in the literature. Finally, a concrete example is given to illustrate the application of the main
results.</p>},
issn = {3105-3289},
doi = {https://doi.org/10.4208/ajiam.2025-0005},
url = {http://global-sci.org/intro/article_detail/ajiam/24223.html}
}