Generalized fractional free electron laser equations: pulse propagation and transverse mode cases

被引：0
|
作者：
Garg, Mridula [1 ]
机构：
[1] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
来源：
KUWAIT JOURNAL OF SCIENCE & ENGINEERING | 2007年 / 34卷 / 1A期
关键词：
confluent hypergeomeric function; free electron laser equation; integro differential equation of Volterra-type; Riemann-Liouville fractional integral operator;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The present paper deals. with the fractional generalizations of a Volterra-type integro differential equation known as the Free Electron Laser equation. Here we solve the non- homogeneous forms of fractional free electron laser equations (FFEL) in two cases: pulse propagation and transverse mode. The solutions are obtained in closed forms in terms of the modified Kummer function phi* (alpha, beta; z) together with Hermite polynomials and Laguerre polynomials by the application of Riemann Liouville fractional integral operators.
引用
收藏
页码：27 / 38
页数：12
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