Some properties and stability of Helmholtz model involved with nonlinear fractional difference equations and its relevance with quadcopter

M. Sivashankar, S. Sabarinathan, Kottakkaran Sooppy Nisar, C. Ravichandran and B.V. Senthil Kumar

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: This study is devoted to developing mathematical models associated with the Helmholtz equation as a second-order oscillator involved with nonlinear Caputo fractional difference equations. This study also focuses on determining the approximate solution of this model via the Ulam stability conception. Some properties of the mathematical model dealt with in this study are also presented. Numerical simulations are presented to justify the existence of stability results.

Keywords: Hyers–Ulam stability; Fractional duffing equation; Differential equation; Quadcopter and numerical simulations (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077923000620
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:168:y:2023:i:c:s0960077923000620

DOI: 10.1016/j.chaos.2023.113161

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. ().