Implicit analytic solutions for a nonlinear fractional partial differential beam equation

Konstantinos B. Liaskos,Athanasios A. Pantelous,Ioannis A. Kougioumtzoglou,Antonios T. Meimaris,Antonina Pirrotta

Communications in Nonlinear Science and Numerical Simulation（2020）

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摘要

•A deterministically excited nonlinear fractional Euler-Bernoulli beam is studied.•A derivative-free analytic solution in implicit-form is provided.•The limiting purely elastic and purely viscous cases are also provided.•Important results given the vast use of fractional calculus modeling in engineering.

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关键词

Nonlinear beam,Fractional derivative,Partial differential equation,Cosine and sine families of operators,Implicit analytic solution

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