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Title: Some properties of generalized fractional integral with Lengendre functions kernels
Author: Rodrigues, M. M.
Keywords: Integral transforms
Fractional integrals
Operational calculus
Legendre functions
Mellin transform
Issue Date: Dec-2014
Publisher: AIP Publishing
Abstract: In this paper we introduce two integral transforms involving the Legendre function in the kernel which generalize the classical Liouville fractional integrals. Then, we study their boundedness as operators mapping the space L_{v,r} into the spaces L_{v−α,r}. Moreover, we calculate the Mellin transform of the fractional integrals presented in this paper.
Description: CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT-Fundação para a Ciência e a Tecnologia”), within project PEst-OE/MAT/UI4106/2014
Peer review: yes
DOI: 10.1063/1.4904660
ISSN: 978-0-7354-1276-7
Appears in Collections:CIDMA - Comunicações
FAAG - Comunicações

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