RT Journal Article
T1 Existence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equation
A1 Cao Labora, Daniel
A1 Tenreiro Machado, José António
K1 Fractional Calculus
K1 Bagley–Torvik Equation
K1 Limit Behavior
K1 Bounded Solutions
AB This manuscript reanalyses the Bagley–Torvik equation (BTE). The Riemann–Liouvillefractional differential equation (FDE), formulated by R. L. Bagley and P. J. Torvik in 1984, models thevertical motion of a thin plate immersed in a Newtonian fluid, which is held by a spring. From thismodel, we can derive an FDE for the particular case of lacking the spring. Here, we find conditionsfor the source term ensuring that the solutions to the equation of the motion are bounded, which hasa clear physical meaning.
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/21885
UL http://hdl.handle.net/10347/21885
LA eng
NO Cao Labora, D.; Tenreiro Machado, J.A. Existence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equation. Mathematics 2020, 8, 289.
DS Minerva
RD 24 abr 2026