Fractional telegraph equation is introduced to promote a sub-diffusive transport model of the neutrons inside a nuclear reactor. Here, the time derivatives of the classical telegraph equation have been replaced by the Caputo fractional derivative. In this paper, the fractional solutions are obtained through a technique that relies heavily on Fourier and Laplace transformations and is given in terms of the M-Wright function. The neutron flux density is clarified for different values of the time-fractional order.

中文翻译：

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描述核反应堆中子输运的时间分数电报方程的解析解

引入分数电报方程以促进核反应堆内部中子的亚扩散输运模型。在这里，经典电报方程的时间导数已由Caputo分数导数代替。在本文中，分数解通过严重依赖于傅立叶和拉普拉斯变换的技术获得，并以M -Wright函数的形式给出。对于不同的时间分数阶值，阐明了中子通量密度。