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Title: New convolutions associated with the Mellin transform and their applications in integral equations
Author: Castro, L. P.
Silva, A. S.
Tuan, N. M.
Keywords: Convolution
Mellin transform
Convolution operator
Integral equations of the convolution type
Issue Date: 2020
Publisher: Element
Abstract: In this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations. In particular, we present sufficient conditions for the solvability of an integral equation and a system of integral equations of convolution type.
Peer review: yes
DOI: 10.7153/jca-2020-16-08
ISSN: 1848-5979
Publisher Version:
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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