Analytical and numerical treatment of a fractional integro-differential equation of Volterra-type

被引：11
|
作者：
Boyadjiev, L
Kalla, SL
Khajah, HG
机构：
[1] KUWAIT UNIV,DEPT MATH & COMP SCI,SAFAT 13060,KUWAIT
[2] PAAET,COLL TECHNOL STUDIES,DEPT APPL SCI,SHUWAIKH 70654,KUWAIT
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1997年 / 25卷 / 12期
关键词：
FEL equation; fractional integrals and derivatives; Kummer function; Tau method;
D O I：
10.1016/S0895-7177(97)00090-3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An analytical treatment of a fractional generalisation of the free electron laser (FEL) equation is given, whereby a closed form solution is obtained in terms of Kummer functions Phi(a, c; z). Subsequently, Tau method approximation of these functions facilitates the numerical evaluation of the solution of the FEL equation.
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页码：1 / 9
页数：9
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