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Title: Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
Author: Almeida, Ricardo
Keywords: Fractional integral
Fractional derivative
Taylor’s theorem
Semigroup law
Expansion formulas
Issue Date: 2019
Publisher: Rocky Mountain Mathematics Consortium
Abstract: In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives.
Peer review: yes
DOI: 10.1216/RMJ-2019-49-8-2459
ISSN: 0035-7596
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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