Mellin Transforms of the Generalized Fractional Integrals and Derivatives

Details Mellin Transforms of the Generalized Fractional Integrals and Derivatives Mellin Transforms of the Generalized Fractional Integrals and Derivatives

2011-12-27

arxiv.org/abs/1112.6031v1

Mathematics

Classical Analysis and ODEs

11 pages, 1 figure, Submitted to Applied Mathematics Letters. arXiv admin note: substantial text overlap with arXiv:1106.0965

Scientific paper

The purpose of this paper is to present the Mellin transforms of the
fractional integrals and derivatives, which generalize the Riemann-Liouville
and Hadamard fractional integrals and derivatives, respectively. We also obtain
an interesting result, which combines the fractional derivatives with Stirling
numbers of the second kind and Lah numbers.

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