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Representation of Generalized Fractional Integrals in Terms of Laplace Transforms on Spaces L p
Author(s) -
Kiryakova Virginia,
Raina R. K.,
Saigo Megumi
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951760112
Subject(s) - mathematics , laplace transform , inverse laplace transform , inverse , representation (politics) , pure mathematics , laplace–stieltjes transform , fractional calculus , two sided laplace transform , mathematical analysis , mellin transform , decomposition , laplace transform applied to differential equations , fourier transform , fractional fourier transform , fourier analysis , geometry , ecology , politics , political science , law , biology
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.