Abstract
The article contains the comparative use analysis of fractional derivative three types (Riemann -Liouville, Caputo and model) at the Begley -Torvik equation when modeling the deformation and strength characteristics of polymer concrete. We also consider how to obtain a solution to the Begley -Torvik equation initial value problem for the fractional derivative model using a recurrent kernels sequence. Further, the correctness is substantiated of establishing the type and the fractional derivative order at the Begley -Torvik equation initial value problem.
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