论文标题

分化和集成运营商的分数及其在加速器物理和技术中的应用

Fractional Powers of the Differentiation and Integration Operators and its Application in Accelerator Physics and Technology

论文作者

Behtouei, Mostafa, Faillace, Luigi, Palumbo, Luigi, Spataro, Bruno, Variola, Alessandro, Migliorati, Mauro

论文摘要

在本文中,我们通过使用一种新方法为3/2阶的分数组成部分提供了解决方案。在求解生物避免方程式期间,会产生积分,以找到螺线管的磁场成分的精确分析溶液。我们通过切割分支线来解决积分,以便在积分内而不是多价值操作内具有分析函数。

In this paper we present a solution to a fractional integral of the order 3/2 with the use of a novel method. The integral arises during solving the Biot-Savart equation to find the exact analytical solution for the magnetic field components of a solenoid. We solved the integral by cutting the branch line in order to have an analytic function inside the integral instead of multi-valued operation.

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