Prof. Sachin Bhalekar and his PhD student, Pragati Dutta, from the School of Mathematics and Statistics at the University of Hyderabad, recently conducted research on a class of fractional-order two-delay differential equations. These equations, incorporating two discrete delays, are valuable for modeling simultaneous processes within a single framework.
Their study focuses on the stability analysis of a specific case within this class by assigning particular parameter values. Fractional-order derivatives are extensively used across various disciplines, such as signal processing, fluid dynamics, and control systems, to model complex systems with memory effects.
The researchers identified different stability regions, including stable, unstable, single stable regions, and stability switch phenomena. Notably, the stability switch observed in their model is a significant finding.
Their work has been published in Chaos: An Interdisciplinary Journal of Nonlinear Science, a highly regarded journal with an impact factor of 2.7, published by the American Institute of Physics. Additionally, the Editors felt that this article is noteworthy, and have chosen it to be promoted as an Editor’s Pick. This paper is displayed on the Journal’s homepage and is identified with an icon next to the article title.
Link to the article: https://pubs.aip.org/aip/cha/article/35/1/013155/3332427/Analysis-of-a-class-of-two-delay-fractional?searchresult=1
Link to the Editor’s Pick articles: https://pubs.aip.org/aip/cha/search-results?SearchSourceType=1%22*%22&exPrm_qqq=%7b!payload_score+f%3dTags+func%3dmax%7d*&q=*&exPrm_fq=Subjects%3a%22Editor%e2%80%99s+Pick%22+AND+ContentType%3aImage&hideSearchTerm=true