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Omran, Maryam; Kiliçman, Adem

Natural transform of fractional order and some properties. (English) Zbl 1438.44002

Cogent Math. 3, Article ID 1251874, 8 p. (2016).
Summary: In this work, a new fractional integral transform is proposed, and some of its properties are mentioned. Further, the relation between it and others fractional transforms is given and some of its applications are presented.

Cited in 6 Documents

MSC:

44A10 Laplace transform
26A33 Fractional derivatives and integrals
44A20 Integral transforms of special functions

Keywords:

modified fractional Riemann-Liouville derivative; Mittag-Leffler function; natural transform; Laplace and Sumudu transforms of order \(\alpha\)
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References:

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