TY - JOUR
TI - Circulatory integral and Routh's equations of Lagrange systems with Riemann-Liouville fractional derivatives
AU - Fu Jing Li
AU - Zhang Lijun
AU - Khalique Chaudry Masood
AU - Guo Ma Li
JN - Thermal Science
PY - 2021
VL - 25
IS - 2
SP - 1355
EP - 1363
PT - Article
AB - 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.