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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 |
Files in This Item:
File | Description | Size | Format | |
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mia-20-70.pdf | Documento principal | 239.56 kB | Adobe PDF |
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