Lagrangian Formulation of Fractional Nonholonomic Constrained Damping Systems  

作　　者：Ola A. Jarab’ah Ola A. Jarab’ah(Department of Applied Physics, Tafila Technical University, Tafila, Jordan)

机构地区：[1]Department of Applied Physics, Tafila Technical University, Tafila, Jordan

出　　处：《Advances in Pure Mathematics》2023年第9期552-558,共7页理论数学进展（英文）

摘　　要：Fractional Euler Lagrange equations for fractional nonholonomic constrained damping systems have been presented. The equations of motion are obtained using fractional Euler Lagrange equations in a similar manner to the usual technique. The results of fractional method reduce to those obtained from classical method when μ →0 and α,β →1 are equal unity only. This work is discussed using illustrative example.Fractional Euler Lagrange equations for fractional nonholonomic constrained damping systems have been presented. The equations of motion are obtained using fractional Euler Lagrange equations in a similar manner to the usual technique. The results of fractional method reduce to those obtained from classical method when μ →0 and α,β →1 are equal unity only. This work is discussed using illustrative example.

关 键 词：Euler-Lagrange Equations Nonholonomic Constraints Generalized Momenta 

分 类 号：O17[理学—数学]