dc.contributor.author | Awrejcewicz, Jan | |
dc.contributor.author | Tomasiello, Stefania | |
dc.date.accessioned | 2016-07-11T10:08:52Z | |
dc.date.available | 2016-07-11T10:08:52Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Dynamical systems : mathematical and numerical approaches ; s. 543-554 | en_EN |
dc.identifier.isbn | 9788372837066 | |
dc.identifier.uri | http://hdl.handle.net/11652/1202 | |
dc.description.abstract | A Picard-like scheme using quadrature and differential quadrature
rules, formerly introduced to solve integro-differential equations, is herein adapted
to solve the problem of an oscillator with damping defined by the Riemann-
Liouville fractional derivative and with fuzzy initial conditions. Considering
fuzzy initial conditions has the meaning of a fuzzification of the problem via
the Zadeh’s extension principle. Following Zadeh, fuzziness is a way to take
into account an uncertainty which cannot be identified as randomness. In the
crisp domain, the proposed approach is able to approximate the reference analytical
solutions with high accuracy and a relatively low computational cost.
In the linear regime, the technique proposed becomes a non-recursive scheme,
providing semi-analytical solutions by means of operational matrices and vectors
of known quantities. In this sense, an example of application is given
by the free damped vibrations of a linear oscillator in a medium with small
viscosity, usually solved by using the method of multiple scales (in the crisp
domain). | en_EN |
dc.language.iso | en | en_EN |
dc.publisher | Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki. | pl_PL |
dc.relation.ispartofseries | Dynamical systems : mathematical and numerical approaches, 2015 | en_EN |
dc.subject | systems theory - conference | en_EN |
dc.subject | dynamical systems - conference | en_EN |
dc.title | Simulating the damped vibrations of a fractional oscillator with fuzzy initial conditions. | en_EN |
dc.type | Artykuł | en_EN |