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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Stability Analysis of Fractional Order Oscillating Systems

Discontinuity, Nonlinearity, and Complexity 15(1) (2026) 109--119 | DOI:10.5890/DNC.2026.03.008

K. Kaliraj$^{1}$, S. Mohana Priya$^1$, P. K. Lakshmi Priya$^1$, J. Veninstine Vivik$^2$

$^1$ Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600005, Tamil Nadu, India

$^2$ Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore 641 114, Tamil Nadu, India

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Abstract

The work resolves around the analysis of Ulam-Hyers stability and Ulam-Hyers-Rassias stability of Conformable fractional order control system. Initially, we utilize the concept of trigonometric functions such as sine and cosine to define the Conformable matrix to deduce the sufficient conditions for the system to admit stability. The theoretical study is authenticated by providing appropriate numerical simulation.

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