A new operational approach for solving fractional variational problems depending on indefinite integrals

Samer S. Ezz-Eldien, E. H. Doha,A. H. Bhrawy,Ahmed A. El-Kalaawy,J.A.T. Machado

Communications in Nonlinear Science and Numerical Simulation（2018）

引用 26|浏览17

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摘要

•Solving fractional variational problems depending on indefinite integrals.•Fractional integral operational matrix is used together with the Lagrange multiplier method to reduce the problem into a system of algrbraic equations.•High accuracy results may be obtained using a low number of shifted Chebyshev polynomials.

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关键词

Riemann–Liouville integrals,Caputo derivatives,Lagrange multipliers method,Chebyshev polynomials,Operational matrix,Fractional variational problems

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