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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
DOI: 10.1115/1.4034432
ISSN: 1555-1415
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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