article · Journal of Time Scales Analysis
This paper provides a definition of an $\alpha$-integrated semi-group on a type of time scale noted $\mathbb{T}_{0}^{\alpha}$, and we prove some properties associated with this concept. It also examines the relationship between the infinitesimal generator of the $\alpha$-integrated semi-group on a time scale.
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DOI: 10.64721/s2ea4k71
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