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.
Ettayb, J. (2026). Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces. (e6085). AUT Journal of Mathematics and Computing, (), e6085 https://doi.org/10.22060/ajmc.2025.24066.1356
MLA
Ettayb, J. "Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces" .e6085 , AUT Journal of Mathematics and Computing, , 2026, e6085. doi: 10.22060/ajmc.2025.24066.1356
HARVARD
Ettayb, J. (2026). 'Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces', AUT Journal of Mathematics and Computing, (), e6085. doi: 10.22060/ajmc.2025.24066.1356
CHICAGO
Ettayb, J., "Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces." AUT Journal of Mathematics and Computing, (2026): e6085, doi: 10.22060/ajmc.2025.24066.1356
VANCOUVER
Ettayb J. Fractional $\alpha$-semigroups of continuous linear operators on locally convex spaces. AUT J Math Comput. 2026;():e6085. doi: 10.22060/ajmc.2025.24066.1356
