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

Authors:
L. Boyadjiev;S. L. Kalla;H. G. Khajah
Affiliations:
Mathematical Analysis Department Institute of Applied Mathematics and Informatics Technical University, Sofia P.O. Box 384, Sofia 1000, Bulgaria;Department of Mathematics and Computer Science, Kuwait University P.O. Box 5969, Safat 13060, Kuwait;Applied Sciences Department, College of Technological StudiesPAAET P.O. Box 42325, Shuwaikh 70654, Kuwait
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

Citing 1
Cited 2

The Tau Method

SIAM Journal on Numerical Analysis

On a fractional generalization of the free electron laser equation

Applied Mathematics and Computation
A fractional integro-differential equation of volterra type

Mathematical and Computer Modelling: An International Journal

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Abstract

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 @F(a, c; z). Subsequently, Tau method approximation of these functions facilitates the numerical evaluation of the solution of the FEL equation.