Advances in Fractional Order Information Measures and Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (30 April 2023) | Viewed by 1794

Special Issue Editors


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Guest Editor
Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Sundargarh, Odisha, India
Interests: statistical information theory; fractional uncertainty measures; applied probability; statistical inference; order statistics; distribution theory; reliability theory

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Guest Editor
Dipartimento di Biologia, Università di Napoli Federico II, 80126 Naples, NA, Italy
Interests: stochastic orders; reliability theory; measures of discrimination (in particular entropy, extropies, inaccuracy, Kullback-Leibler); coherent systems; inference
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Special Issue Information

Dear Colleagues,

The notion of fractional calculus was born in the year 1695 when L’Hospital had a letter containing a thoughtful question for Leibniz. Though fractional calculus has been a topic of top-level mathematicians for a long period, presently it has become an important tool for studying the dynamics of several complex systems, which occur in different applications of science and engineering. Nowadays, the concept of fractional calculus, especially the concept of fractional order derivative has been applied to various basic information measures in order to introduce fractional order information measures. It has been noticed by researchers that the new concept of fractional order entropy has performed well, even better in some situations in comparing non-fractional order entropy measures. This Special Issue aims to promote the development of the concept of fractional calculus to information theory and its application in practice. Researchers working in this interdisciplinary field are welcome to submit their original research articles as well as review articles. The researchers may submit their papers continuously before the deadline. The articles will be selected after a peer-review process based on their quality. 

Dr. Suchandan Kayal
Prof. Dr. Maria Longobardi
Guest Editors

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Keywords

  • fractional calculus
  • entropy
  • information theory
  • complex systems
  • dynamical systems
  • nonlinear analysis
  • optimization
  • time series

Published Papers (1 paper)

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Research

18 pages, 4559 KiB  
Article
Stabilization Control for a Class of Fractional-Order HIV-1 Infection Model with Time Delays
by Zitong Li and Zhe Zhang
Axioms 2023, 12(7), 695; https://doi.org/10.3390/axioms12070695 - 17 Jul 2023
Viewed by 748
Abstract
In this study, we investigated a novel asymptotic stabilization control method for a fractional-order HIV-1 infection model. First, we constructed a mathematical model of the fractional-order HIV-1 infection using the state-space equations of Caputo fractional calculus. Subsequently, a new control strategy was designed [...] Read more.
In this study, we investigated a novel asymptotic stabilization control method for a fractional-order HIV-1 infection model. First, we constructed a mathematical model of the fractional-order HIV-1 infection using the state-space equations of Caputo fractional calculus. Subsequently, a new control strategy was designed for the fractional-order HIV-1 infection model, and the corresponding asymptotic stabilization criterion was proposed by combining a novel vector Lyapunov function with the M-matrix method. Additionally, we incorporated a time delay, which was generated by the interaction between different variables in the actual system, into the fractional-order HIV-1 infection model, forming a system with a time delay. Based on the vector Lyapunov function associated with the M-matrix measure and Razumikhin interpretation, a control strategy was developed for the fractional-order HIV-1 infection model with a time delay. Finally, we show the results of two numerical simulations of the fractional-order HIV-1 infection model, with and without time delay, to illustrate the accuracy, usefulness, and universality of the proposed measure in our paper. Full article
(This article belongs to the Special Issue Advances in Fractional Order Information Measures and Applications)
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