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- W2893692430 abstract "In this study, nonhomogeneous differential equation of the second order is considered, which contains fractional derivative (Bagley–Torvik equation), where the derivative order ranges within 1 and 2. This equation is applied in mechanics of oscillation processes. To study the equation, we use the Laplace transform, which allows us to obtain an image of the solution in an explicit form. Two typical kinds of functions of the right-hand side of the equation are considered. Numerical solutions are constructed for each of them. The solutions obtained are compared with experimental information on polymer concrete samples. The comparison allows for the conclusion about the adequacy of the numerical and analytical solutions to the nonhomogeneous Bagley–Torvik equation." @default.
- W2893692430 created "2018-10-05" @default.
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- W2893692430 date "2019-02-01" @default.
- W2893692430 modified "2023-09-26" @default.
- W2893692430 title "Some solutions of the nonhomogeneous Bagley–Torvik equation" @default.
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- W2893692430 doi "https://doi.org/10.1142/s1793962319410022" @default.
- W2893692430 hasPublicationYear "2019" @default.
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