REPRESENTATION OF GENERALIZED FRACTIONAL INTEGRALS IN TERMS OF LAPLACE TRANSFORMS ON SPACES L(P)

Authors
KIRYAKOVA V RAINA RK SAIGO M
Citation
V. Kiryakova et al., REPRESENTATION OF GENERALIZED FRACTIONAL INTEGRALS IN TERMS OF LAPLACE TRANSFORMS ON SPACES L(P), Mathematische Nachrichten, 176, 1995, pp. 149-158
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
176
Year of publication
1995
Pages
149 - 158
Database
ISI
SICI code
0025-584X(1995)176:<149:ROGFII>2.0.ZU;2-E
Abstract
In this paper the generalized fractional integration operators defined by KIRYAKOVA [6], [7] are expressed in terms of the Laplace transform L and its inverse L(-1). These decomposition results are established on L(p) spaces and some examples are deduced as their special cases.