Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16198
Title: | Fractional differential equations with dependence on the Caputo-Katugampola derivative |
Author: | Almeida, R. Malinowska, A. B. Odzijewicz, T. |
Keywords: | Fractional calculus Fractional differential equations Caputo–Katugampola derivative Numerical methods |
Issue Date: | Sep-2016 |
Publisher: | American Society of Mechanical Engineers (ASME) |
Abstract: | 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–Katugampola derivative, is proven. A decomposition formula for the Caputo–Katugampola derivative is obtained. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16198 |
DOI: | 10.1115/1.4034432 |
ISSN: | 1555-1415 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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preprint_RV.pdf | Main article | 498.57 kB | Adobe PDF |
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