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Variational Problems Involving a Caputo-Type Fractional Derivative

Name: Variational Problems Involving a Caputo-Type Fractional Derivative
Creator: Almeida, Ricardo
Keywords: Caputo-type fractional derivative, Optimization and Control (math.OC), Fractional calculus, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Variational problems, Systems and Control (eess.SY), 16. Peace & justice, Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 08 Feb 2016Embargo end date: 01 Jan 2016 Portugal Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 174, pages 276-294 (issn: 0022-3239, eissn: 1573-2878,

Authors: Almeida, Ricardo;

doi: 10.1007/s10957-016-0883-4 , 10.48550/arxiv.1601.07376

arXiv: http://arxiv.org/abs/1601.07376

handle: 10773/18433

Variational Problems Involving a Caputo-Type Fractional Derivative

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Abstract

The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro. Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered.

This is a preprint of a paper whose final and definite form will be published in Journal of Optimization Theory and Applications

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Keywords

Caputo-type fractional derivative, Optimization and Control (math.OC), Fractional calculus, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Variational problems, Systems and Control (eess.SY), Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control

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