A numerical technique for solving fractional variational problems by Müntz-Legendre polynomials
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Publication:1786942
DOI10.1007/s12190-017-1134-zzbMath1400.49034OpenAlexW2755533705MaRDI QIDQ1786942
Parisa Rahimkhani, Yadollah Ordokhani
Publication date: 25 September 2018
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-017-1134-z
numerical methodRayleigh-Ritz methodMüntz-Legendre polynomialsCaputo fractional derivativefractional variational problems
Newton-type methods (49M15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Discrete approximations in optimal control (49M25) Fractional ordinary differential equations (34A08)
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A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials ⋮ A block-by-block approach for nonlinear fractional integro-differential equations ⋮ FRACTIONAL VARIATIONAL PROBLEM INVOLVING INDEFINITE INTEGRALS AND NONSINGULAR KERNELS ⋮ The numerical treatment of fractal‐fractional 2D optimal control problems by Müntz–Legendre polynomials ⋮ Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems ⋮ An approximate wavelets solution to the class of variational problems with fractional order ⋮ A reliable numerical approach for analyzing fractional variational problems with subsidiary conditions ⋮ A new operational matrix based on Müntz-Legendre polynomials for solving distributed order fractional differential equations ⋮ Numerical approximation of fractional variational problems with several dependent variables using Jacobi poly-fractonomials ⋮ An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations ⋮ Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions
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