Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2021 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 62 (issn: 0022-2488, eissn: 1089-7658,

Copyright policy )

Authors: J. Vanterler da C. Sousa; M. Vellappandi; V. Govindaraj; Gastão S. F. Frederico;

doi: 10.1063/5.0049341

Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative

- Summary
- Subjects
- Metrics

Abstract

In this paper, we investigate the reachability of linear and non-linear systems in the sense of the ψ-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag–Leffler functions (one and two parameters). In this sense, two numerical examples are discussed in order to elucidate the investigated results.

Related Organizations

Universidade Federal do ABC
Brazil
Universidade Federal do Ceará
Brazil
National Institute of Technology, Puducherry
India

Keywords

Attainable sets, reachability, Fractional derivatives and integrals, Linear systems in control theory, Nonlinear systems in control theory, Mittag-Leffler functions and generalizations

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	17
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%