Numerical solution for fractional variational problems using the Jacobi\n polynomials

2015/12/05 by Hassan Khosravian‐Arab, Ricardo Almeida, Khosravian-Arab, Hassan +1
Engineering · Mathematics · #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1512.01686

openalex publication_date 2015/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We exhibit a numerical method to solve fractional variational problems,\napplying a decomposition formula based on Jacobi polynomials. Formulas for the\nfractional derivative and fractional integral of the Jacobi polynomials are\nproven. By some examples, we show the convergence of such procedure, comparing\nthe exact solution with numerical approximations.\n

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