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Title: Analysis and numerical approximation of tempered fractional calculus of variations problems
Author: Almeida, Ricardo
Morgado, M. Luísa
Keywords: Euler–Lagrange equation
Numerical methods
Tempered fractional derivative
Issue Date: 1-Dec-2019
Publisher: Elsevier
Abstract: In this paper, we study variational problems where the cost functional involves the tempered Caputo fractional derivative. Several important optimization conditions are derived to find the optimal solution. Sufficient and necessary conditions are presented for different variational problems. For example, the cases of integral (isoperimetric problem) and holonomic constraints are considered, as well as problems with high order derivatives. A numerical scheme is proposed to determine approximations of the solution and it is illustrated through some examples
Peer review: yes
DOI: 10.1016/
ISSN: 0377-0427
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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