Fox H-Functions in Self-Consistent Description of a Free-Electron Laser
Keyword(s):
The Self
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A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL). It is shown that the Fox H-function is the Laplace image of the kernel of the integro-differential equation, which is also known as a fractional FEL equation with Caputo–Fabrizio type fractional derivative. Asymptotic solutions of the equation are analyzed as well.
1991 ◽
Vol 80
(5-6)
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pp. 370-374
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Keyword(s):
Keyword(s):
2015 ◽
Vol 17
(11)
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pp. 113006
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Keyword(s):
2020 ◽
pp. 149-190
2013 ◽
Vol 16
(3)
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