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ON FRACTIONAL HAMILTON FORMULATION WITHIN CAPUTO DERIVATIVES

机译:Caputo导数上的分形Hamilton公式

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摘要

The fractional Lagrangian and Hamiltonian dynamics is an important issue in fractional calculus area. The classical dynamics can be reformulated in terms of fractional derivatives. The fractional variational principles produce fractional Euler-Lagrange equations and fractional Hamiltonian equations. The fractional dynamics strongly depends of the fractional integration by parts as well as the non-locality of the fractional derivatives. In this paper we present the fractional Hamilton formulation based on Caputo fractional derivatives. One example is treated in details to show the characteristics of the fractional dynamics.
机译:分数阶拉格朗日动力学和哈密顿动力学是分数阶微积分领域中的重要问题。可以根据分数导数来重新构造经典动力学。分数变分原理产生分数欧拉-拉格朗日方程和分数哈密顿方程。分数动力学在很大程度上取决于各部分的分数积分以及分数导数的非局部性。在本文中,我们介绍了基于Caputo分数阶导数的分数Hamilton公式。对一个示例进行了详细处理,以显示分数动态特性。

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