full
search.png

Search

close.png

Cancel

arrow
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

Preview Full PDF 3320 25335

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Fractional derivatives, differential quadrature rules, Picard-like approach, fuzzy sets.

  • AMS Subject Headings

37M05, 65Q30, 65P99

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-14-63, author = {S. Tomasiello, S. K. Khattri and J. Awrejcewicz}, 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 AU - S. Tomasiello, S. K. Khattri & J. Awrejcewicz 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 and J. Awrejcewicz. (2016). 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:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard