Analytical and numerical treatment of a multidimensional fractional FEL equation

DOI10.1080/00036819808840671zbMath1020.65101OpenAlexW1995787878MaRDI QIDQ4487742

Hans-Jürgen Dobner, Lyubomir Boyadjiev

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840671

zbMATH Keywords

numerical examplesHermite polynomialsLaguerre polynomialsfractional calculusVolterra integro-differential equationLorentz-Maxwell equationsfree electron laser integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Technical applications of optics and electromagnetic theory (78A55) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (1)

Solution of Volterra integrodifferential equations with generalized Mittag-Leffler function in the Kernels

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Analytical and numerical treatment of a fractional integro-differential equation of Volterra-type
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