标题： 分数阶WKB近似 显示英文标题

标题： Fractional WKB Approximation

摘要： 本文利用分数阶微积分研究了Wentzel-Kramers-Brillouin（WKB）近似在分数阶系统中的应用。在分数阶情况下，构建波函数使得相位因子与Hamilton主函数"S"相同。为了展示我们提出的方法，详细研究了两个例子。 显示英文摘要

摘要： Wentzel, Kramers, Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case the wave function is constructed such that the phase factor is the same as the Hamilton's principle function "S". To demonstrate our proposed approach two examples are investigated in details.