Hamiltonian Formulation of Systems Described Using Fractional Singular Lagrangian

被引：0
|
作者：
Chuanjing Song
Om Prakash Agrawal
机构：
[1] Suzhou University of Science and Technology,School of Mathematical Sciences
[2] Southern Illinois University at Carbondale,Department of Mechanical Engineering and Energy Processes
来源：
Acta Applicandae Mathematicae | 2021年 / 172卷
关键词：
Primary constraint; Constrained Hamilton equation; Poisson bracket; Fractional derivative; 37J06; 70H05; 70H03;
D O I：
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中图分类号：
学科分类号：
摘要：
Fractional singular systems defined using mixed integer and Caputo fractional derivative are analyzed. Using these derivatives, fractional primary constraints, fractional constrained Hamilton equations and the corresponding Poisson brackets are established. Several examples are presented to demonstrate applications of the formulations.
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