Fractional differential equations with dependence on the Caputo-Katugampola derivative

In this paper we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy type problem, with dependence on the Caputo–Kat...

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Bibliographic Details
Main Author: Almeida, R. (author)
Other Authors: Malinowska, A. B. (author), Odzijewicz, T. (author)
Format: article
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10773/16198
Country:Portugal
Oai:oai:ria.ua.pt:10773/16198