A fractional integro-differential equation of Volterra type

Mathematical and Computer Modelling

Volumn 28, Issue 10, 1998, Pages 103-113

  Boyadjiev, L ^a   Dobner, H J ^b   Kalla, S L ^c  

^a TECHNICAL UNIVERSITY OF SOFIA   (Bulgaria)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Fractional integrals and derivatives; Integro differential equation; Kummer function

Indexed keywords

EID: 0032442879     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(98)00158-7     Document Type: Article

References (9)

1. 1. L. Boyadjiev, S.L. Kalla and H.G. Khajah, Analytical and numerical treatment of a fractional integro-differential equation of Volterra type, Mathl. Comput. Modelling 25 (12), 1-9, (1997).
2. 2. G. Dattoli, S. Lorenzutta, G. Maino and A. Torre, Analytical treatment of the high-gain free electron laser equation, Rad. Phys. Chem. 48 (1), 29-40, (1996).
3. 3. G. Dattoli, A. Reniere and A. Torre, Lectures on the free electron laser theory and related topics, World Scientific, Singapore, (1993).
4. 4. H. Brunner and P.I. van der Houwen, The Numerical Solution of Volterra Equations, North-Holland, Amsterdam, (1986).
5. 5. A. Erdèlyi et al., Editors, Higher Transcendental Functions, McGraw-Hill, New York, (1953).
6. 6. K.B. Oldham and J. Spanier, The Fractinal Calculus, Academic Press, New York, (1974).
7. 7. K.S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, New York, (1993).
8. 8. S. Samko, A. Kilbas and O. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, London, (1993).
9. 9. R. Kress, Linear Integral Equations, Springer-Verlag, Berlin, (1989).