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Volume 14, Issue 1
Differential Quadrature-Based Simulation of a Class of Fuzzy Damped Fractional Dynamical Systems

S. Tomasiello, S. K. Khattri & J. Awrejcewicz

Int. J. Numer. Anal. Mod., 14 (2017), pp. 63-75.

Published online: 2016-01

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  • 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.

  • AMS Subject Headings

37M05, 65Q30, 65P99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-14-63, author = {}, title = {Differential Quadrature-Based Simulation of a Class of Fuzzy Damped Fractional Dynamical Systems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2016}, volume = {14}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/410.html} }
TY - JOUR T1 - Differential Quadrature-Based Simulation of a Class of Fuzzy Damped Fractional Dynamical Systems JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 63 EP - 75 PY - 2016 DA - 2016/01 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/410.html KW - Fractional derivatives, differential quadrature rules, Picard-like approach, fuzzy sets. AB -

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.

S. Tomasiello, S. K. Khattri & J. Awrejcewicz. (1970). Differential Quadrature-Based Simulation of a Class of Fuzzy Damped Fractional Dynamical Systems. International Journal of Numerical Analysis and Modeling. 14 (1). 63-75. doi:
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