Representation of Generalized Fractional Integrals in Terms of Laplace Transforms on Spaces  L p | Zendy

Kiryakova Virginia | Zendy; Raina R. K. | Zendy; Saigo Megumi | Zendy

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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.

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