Analytical and numerical treatment of a multidimensional fractional FEL equation

References

• Appell , P. and Kampé de Fériet , J. 1926 . “ Fonctions Hypergeometriques et Hyperspheriques ” . In Polynomes d'Hermite , Paris : Gauthier-Villars .
   Google Scholar
• Boyadjiev L. Kalla S.L. Khajah H.G. Analytical and Numerical Treatment of a Fractional Integro-Differential Equation of Volterra Type June 1997 Mathematical and Computer Modelling,to appear
   Google Scholar
• Dattoli , G. , Lorenzutta , S. , Maino , G. and Torre , A. 1996 . Analytical treatment of the high-gain free electron laser equation . Radiat. Phys, Chem , 48 ( 1 ) : 29 – 40 .
   Web of Science ®Google Scholar
• 1953 . Higher Transcendental Functions , New York : McGraw—Hill .
   Google Scholar
• Miller , K.S. and Ross , B. 1993 . An Introduction to the Fractional Calculus and Fractional Differential Equations , New York : John Wiley & Sons .
   Google Scholar
• Oldham , K. B. and Spanier , J. 1974 . The Fractional Calculus , New York : Academic Pres .
   Google Scholar
• Samko , S. , Kilbas , A. and Marichev , 0. 1993 . Fractional Integrals and Derivatives: Theory and Applications , London : Gordon and Breach .
   Google Scholar
• Slater , L.J. 1966 . Generalized Hypergeometrie Functions , Cambridge : Cambridge Univ. Press .
   Google Scholar