An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system

P.K. Lakshmi Priya and K. Kaliraj

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: The novel findings of this research utilizes Rothe’s fixed point technique to examine the relative controllability of neutral impulsive nonlinear differential system of arbitrary order β∈(0,1). We use pseudo-transition matrix and the technique of Laplace transform to obtain the existence results. On considering the linear form of the system to be relatively controllable as our main hypothesis, we utilize fixed point argument of Rothe’s type to establish the required conditions which are sufficiently enough for the nonlinear system to admit relative controllability. Examples are provided to validate the accuracy of the derived results and finally we apply the obtained techniques to practically model a three solution mixer.

Keywords: Fractional delay system; Laplace transform; Mittag-Leffler matrix; Non-instantaneous impulses; Relative controllability (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922008268
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008268

DOI: 10.1016/j.chaos.2022.112647

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().