<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Considering experimental implementation control laws on digital tools that measurement cards are discharged every time unit one can see that time of simulations is partially continuous and partially discrete. This observation provides the motivation for defining the Grünvald-Letnikov fractional operator with measurable order defined on continuous-discrete time scale. Some properties of this operator are discussed. The simulation analysis of the proposed approach to the Grünwald-Letnikov operator with the measurement functional order is presented.</p></abstract>

Considering experimental implementation control laws on digital tools that measurement cards are discharged every time unit one can see that time of simulations is partially continuous and partially discrete. This observation provides the motivation for defining the Grünvald-Letnikov fractional operator with measurable order defined on continuous-discrete time scale. Some properties of this operator are discussed. The simulation analysis of the proposed approach to the Grünwald-Letnikov operator with the measurement functional order is presented.

On Grünwlad-Letinkov Fractional Operator with Measurable Order on Continuous-Discrete Time Scale

Faculty of Mechanical Engineering, Department of Mechatronics Systems and Robotics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Considering experimental implementation control laws on digital tools that measurement cards are discharged every time unit one can see that time of...

On Grünwlad-Letinkov Fractional Operator with Measurable Order on Continuous-Discrete Time Scale

Online veröffentlicht: 20. Nov. 2020

Seitenbereich: 161 - 165

Eingereicht: 07. Mai 2020

Akzeptiert: 17. Nov. 2020

DOI: https://doi.org/10.2478/ama-2020-0023

Schlüsselwörter
Grünvald-Letnikov fractional operator, measurement order, time scale

© 2020 Ewa Pawłuszewicz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On Grünwlad-Letinkov Fractional Operator with Measurable Order on Continuous-Discrete Time Scale

Online veröffentlicht: 20. Nov. 2020

Seitenbereich: 161 - 165

Eingereicht: 07. Mai 2020

Akzeptiert: 17. Nov. 2020

DOI: https://doi.org/10.2478/ama-2020-0023

SchlüsselwörterGrünvald-Letnikov fractional operator, measurement order, time scale

© 2020 Ewa Pawłuszewicz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schlüsselwörter
Grünvald-Letnikov fractional operator, measurement order, time scale