Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507069 | Applied Mathematics and Computation | 2005 | 10 Pages |
Abstract
We consider the Euler-Bernoulli beam problem with some boundary controls involving a fractional derivative. The fractional derivative here represents a fractional dissipation of lower order than one. We prove that the classical energy associated to the system is unbounded in presence of a polynomial nonlinearity. In fact, it will be proved that the energy will grow up as an exponential function as time goes to infinity.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Soraya Labidi, Nasser-eddine Tatar,