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Title: Numerical solution for fractional variational problems using the Jacobi polynomials
Author: Khosravian-Arab, Hassan
Almeida, Ricardo
Keywords: Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
Issue Date: 1-Nov-2015
Publisher: Elsevier
Abstract: We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.
Peer review: yes
DOI: 10.1016/j.apm.2015.01.060
ISSN: 0307-904X
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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