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
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.