Abstract
In this work, we present the study of the regularity of the solutions of the abstract system (1) that includes the Euler-Bernoulli and Kirchhoff-Love thermoelastic plates, we consider for both fractional couplings given by and where is a strictly positive and self-adjoint linear operator and the parameter Our research stems from the work of [1], [4], and [8]. Our contribution was to directly determine the Gevrey sharp classes: for and when and respectively. And for case when This work also contains direct proofs of the analyticity of the corresponding semigroups In the case the analyticity of the semigroup occurs when and for the case the semigroup is analytic for the parameter The abstract system is given by: (1) where
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