Year: 2017
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 1 : pp. 63–75
Abstract
In this paper, a numerical approach for the simulation of a dynamical model with damping defined by the Riemann-Liouville fractional derivative and with uncertainty, that is fuzziness, is discussed. The proposed method exploits differential quadrature rules and a Picard-like recursion. The convergence is formally discussed. Some example applications, in the linear and nonlinear regime, confirm the theoretical achievements.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-IJNAM-410
International Journal of Numerical Analysis and Modeling, Vol. 14 (2017), Iss. 1 : pp. 63–75
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Fractional derivatives differential quadrature rules Picard-like approach fuzzy sets.