GENERALIZED FRACTIONAL INTEGRALS WITH FOX H-FUNCTION ON SPACES F(P,MU) AND F'(P,MU)

Authors
KILBAS AA SAIGO M
Citation
Aa. Kilbas et M. Saigo, GENERALIZED FRACTIONAL INTEGRALS WITH FOX H-FUNCTION ON SPACES F(P,MU) AND F'(P,MU), Doklady Akademii nauk BSSR, 40(4), 1996, pp. 9-14
Citations number
15
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Doklady Akademii nauk BSSR → ACNP
ISSN journal
0002354X
Volume
40
Issue
4
Year of publication
1996
Pages
9 - 14
Database
ISI
SICI code
0002-354X(1996)40:4<9:GFIWFH>2.0.ZU;2-C
Abstract
The generalized fractional integration operators involving Fox' H-func tion as kernels and generalizing classical integration operators of fr actional calculus are introduced. The conditions for the existence of such generalized fractional integrals on the special spaces of tested and generalized functions F-p,F-mu and F-p,F-mu' are given, their Mell in transform is evaluated and the relation of integration by parts is proved.