梯度和哈密顿系统的分数阶推广
Fractional Generalization of Gradient and Hamiltonian Systems
摘要：
我们考虑一个分数推广的哈密顿和梯度系统。我们使用微分形式和分数阶的外导数。我们导出了相空间上Helmholtz条件的分数阶推广。分数梯度和哈密顿系统的例子被认为是。导出了这些系统的定态。
英文摘要：
We consider a fractional generalization of Hamiltonian and gradient systems. We use differential forms and exterior derivatives of fractional orders. We derive fractional generalization of Helmholtz conditions for phase space. Examples of fractional gradient and Hamiltonian systems are considered. The stationary states for these systems are derived.
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