Work

New Result for the Analysis of Katugampola Fractional-Order Systems—Application to Identification Problems

Year: 2022

Type: article

Abstract: In the last few years, a new class of fractional-order (FO) systems, known as Katugampola FO systems, has been introduced. This class is noteworthy to investigate, as it presents a generalization of the well-known Caputo fractional-order systems. In this paper, a novel lemma for the analysis of a function with a bounded Katugampola fractional integral is presented and proven. The Caputo–Katugampola fractional derivative concept, which involves two parameters 0 < α < 1 and ρ > 0, was used. Then, using the demonstrated barbalat-like lemma, two identification problems, namely, the “Fractional Error Model 1” and the “Fractional Error Model 1 with parameter constraints”, were studied and solved. Numerical simulations were carried out to validate our theoretical results.

Source: Mathematics

DOI: 10.3390/math10111814

Authors: Omar Kahouli, Assaad Jmal, Omar Naifar, Abdelhameed M. Nagy, Abdellatif Ben Makhlouf

Institutions: University of Ha'il, University of Sfax, Benha University, Kuwait University, Jouf University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,885

OpenAlex ID: W4281490159

FWCI: 4.705

Cites: 29

Cited by: 40

Related to: 10