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Complexity
Volume 2017, Article ID 3452409, 11 pages
https://doi.org/10.1155/2017/3452409
Research Article

Generalized Fractional-Order Discrete-Time Integrator

1Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland
2Institute of Applied Computer Science, Lodz University of Technology, Łódź, Poland

Correspondence should be addressed to Dorota Mozyrska; lp.ude.bp@aksryzom.d

Received 10 February 2017; Accepted 23 April 2017; Published 6 July 2017

Academic Editor: Ahmad T. Azar

Copyright © 2017 Dorota Mozyrska and Piotr Ostalczyk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • Piotr Oziablo, “Fractional-, variable-order discrete-time linear equations — Numerical investigations of parameters,” 2018 International Interdisciplinary PhD Workshop (IIPhDW), pp. 273–276, . View at Publisher · View at Google Scholar
  • Dorota Mozyrska, and Malgorzata Wyrwas, “Stability of Linear Systems with Caputo Fractional-, Variable-Order Difference Operator of Convolution Type,” 2018 41st International Conference on Telecommunications and Signal Processing (TSP), pp. 1–4, . View at Publisher · View at Google Scholar
  • Ostalczyk, Wyrwas, and Mozyrska, “Stability conditions for fractional-order linear equations with delays,” Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 66, no. 4, pp. 449–454, 2018. View at Publisher · View at Google Scholar
  • Dumitru Baleanu, Zhi-Wen Mo, Lan-Lan Huang, and Guo-Cheng Wu, “Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus,” Physica A: Statistical Mechanics and its Applications, vol. 508, pp. 166–175, 2018. View at Publisher · View at Google Scholar
  • Ewa Girejko, Dorota Mozyrska, and Małgorzata Wyrwas, “On the Fractional Variable Order Cucker–Smale Type Model,” IFAC-PapersOnLine, vol. 51, no. 4, pp. 693–697, 2018. View at Publisher · View at Google Scholar
  • Dorota Mozyrska, and Piotr Oziablo, “Numerical simulations for fractional variable-order equations ⁎ ⁎The work was supported by Polish founds of National Science Center, granted on the basis of decision DEC-2016/23/B/ST7/03686.,” IFAC-PapersOnLine, vol. 51, no. 4, pp. 853–858, 2018. View at Publisher · View at Google Scholar
  • Dorota Mozyrska, and Malgorzata Wyrwas, “Systems with fractional variable-order difference operator of convolution type and its stability,” Elektronika ir Elektrotechnika, vol. 24, no. 5, pp. 69–73, 2018. View at Publisher · View at Google Scholar