AUT Journal of Mathematics and Computing

AUT Journal of Mathematics and Computing

Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces

Document Type : Original Article

Author
C. High School of Hauman El Fetouaki, Had Soualem, Morocco
10.22060/ajmc.2025.24066.1356
Abstract
The goal of this article is to initiate the study of fractional $C_{0}$-$\alpha$-semigroups of continuous linear operators on locally convex spaces. In particular, we prove an extension of the Hille-Yosida theorem for an equicontinuous (resp. exponentially equicontinuous) $C_{0}$-$\alpha$-semigroups of continuous linear operators on a sequentially complete locally convex Hausdorff space.
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Subjects


Articles in Press, Accepted Manuscript
Available Online from 28 June 2026