Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/18541
Title: A Gronwall inequality for a general Caputo fractional operator
Author: Almeida, Ricardo
Keywords: Fractional calculus
Fractional differential equations
Gronwall inequality
Issue Date: 2017
Publisher: Ele-Math
Abstract: In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo–Hadamard fractional derivative operators. We study some properties of the operator, namely we prove that it is the inverse operation of a generalized fractional integral. A relation between this operator and a Riemann–Liouville type is established. We end with a fractional Gronwall inequality type, which is useful to compare solutions of fractional differential equations.
Peer review: yes
URI: http://hdl.handle.net/10773/18541
DOI: 10.7153/mia-2017-20-70
ISSN: 1331-4343
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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