Some identities on fractional integrals and integral transforms

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:1
Some identities on fractional integrals and integral transforms

Some identities on fractional integrals and integral transforms

Authors : Nese DERNEK, Gülçin BOZKURT

Pages : 8-18

Doi:10.15672/HJMS.2018.652

View : 26 | Download : 10

Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :In this paper, we introduce various theorems that associate the generalized Riemann-Liouville fractional integral operator and the generalized Weyl fractional integral operator with some well-known integral transforms including generalized Laplace transform, Widder potential transform, generalized Widder transform, Hankel transform and Bessel transform. We evaluate certain integrals of some elementary functions and some special functions as applications of these theorems and their results.
Keywords : Riemann Liouville fractional integral, Weyl fractional integral, fractional derivatives, Laplace transform, Widder potential transform, Hankel transform, Bessel transform, error function, exponential integral function

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