THERMAL SCIENCE

International Scientific Journal

Jing Li Fu

,

Lijun Zhang

,

Chaudry Masood Khalique

,

Ma Li Guo

CIRCULATORY INTEGRAL AND ROUTH'S EQUATIONS OF LAGRANGE SYSTEMS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

ABSTRACT
In this paper, the circulatory integral and Routh’s equations of Lagrange systems are established with Riemann-Liouville fractional derivatives, and the circulatory integral of Lagrange systems is obtained by making use of the relationship between Riemann-Liouville fractional integrals and fractional derivatives. Thereafter, the Routh’s equations of Lagrange systems are given based on the fractional circulatory integral. Two examples are presented to illustrate the application of the results.
KEYWORDS
circulatory integral, Routh's equation, Lagrange system, Riemann-Liouville fractional derivatives
PAPER SUBMITTED: 2020-05-20
PAPER REVISED: 2020-06-20
PAPER ACCEPTED: 2020-06-20
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200520034F
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1355 - 1363]
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Circulatory integral and Routh's equations of Lagrange systems with Riemann-Liouville fractional derivatives

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence