Doss almost periodic functions, Besicovitch-Doss almost periodic functions and convolution products
Abstract
In the paper under review, we analyze the invariance of Doss almost periodicity and Besicovitch-Doss almost periodicity under the actions of convolution products. We thus continue our recent research studies fedorov-novi and NSJOM-besik by investigating the case in which the solution operator family (R(t))t>0 under our consideration has special growth rates at zero and infinity. In contrast to NSJOM-besik, the results obtained in this paper can be incorporated in the qualitative analysis of solutions to abstract (degenerate) inhomogeneous fractional differential equations in Banach spaces.
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