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Title: Variational Problems Involving a Caputo-Type Fractional Derivative
Author: Almeida, Ricardo
Keywords: Fractional calculus
Caputo-type fractional derivative
Variational problems
Issue Date: 2017
Publisher: Springer
Abstract: We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with dependence on a real parameter ρ. We present sufficient and necessary conditions of first and second order to determine the extremizers of a functional. The cases of integral and holomonic constraints are also considered.
Peer review: yes
DOI: 10.1007/s10957-016-0883-4
ISSN: 0022-3239
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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