## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### 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**

PAPER SUBMITTED: 2020-05-20

PAPER REVISED: 2020-06-20

PAPER ACCEPTED: 2020-06-20

PUBLISHED ONLINE: 2021-01-31

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