Fractional Derivatives, Memory Kernels and Solution of a Free Electron Laser Volterra Type Equation

Fractional Derivatives, Memory Kernels and Solution of a Free Electron Laser Volterra Type Equation

The high gain free electron laser (FEL) equation is a Volterra type integro-differential equation amenable for analytical solutions in a limited number of cases. In this note, a novel technique, based on an expansion employing a family of two variable Hermite polynomials, is shown to provide straigh...

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Bibliographic Details
Main Authors: Marcello Artioli, Giuseppe Dattoli, Silvia Licciardi, Simonetta Pagnutti
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Mathematics
Subjects:
free electron laser (FEL)
Volterra equations
iterative solutions
Hermite polynomials
Legendre polynomials
Online Access:https://www.mdpi.com/2227-7390/5/4/73

Internet

https://www.mdpi.com/2227-7390/5/4/73

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