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arXiv · 2004.01700

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

Mostafa Behtouei·Luigi Faillace·Luigi Palumbo·Bruno Spataro·Alessandro Variola·Mauro Migliorati
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Abstract

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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Mostafa Behtouei, Luigi Faillace, Luigi Palumbo, Bruno Spataro, Alessandro Variola, Mauro Migliorati. 2020-04-04. Fractional Powers of the Differentiation and Integration Operators and its Application in Accelerator Physics and Technology. https://arxiv.org/abs/2004.01700

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