Piecewise fractional Legendre functions for nonlinear fractional optimal control problems with ABC fractional derivative and non-smooth solutions
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Publication:6583279
DOI10.1002/ASJC.3222MaRDI QIDQ6583279
M. H. Heydari, M. Razzaghi, Sh. Zhagharian
Publication date: 6 August 2024
Published in: Asian Journal of Control (Search for Journal in Brave)
non-smooth solutionsRiemann-Liouville fractional integraloptimal control problemsAtangana-Baleanu fractional derivativeAtangana-Baleanu fractional integralorthonormal piecewise fractional Legendre functions
Cites Work
- An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems
- Generalized Taylor's formula
- Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations
- Fractional-order Legendre functions for solving fractional-order differential equations
- The Boubaker polynomials and their application to solve fractional optimal control problems
- Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems
- A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems
- Piecewise Chebyshev cardinal functions: application for constrained fractional optimal control problems
- Generalized Bernoulli polynomials: solving nonlinear 2D fractional optimal control problems
- Generalized shifted Chebyshev polynomials for fractional optimal control problems
- A numerical approach for solving fractional optimal control problems using modified hat functions
- Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems
- Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative
- A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error
- A new class of orthonormal basis functions: application for fractional optimal control problems
- Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative
- Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost
- Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials
- A comparative approach for time-delay fractional optimal control problems: discrete versus continuous Chebyshev polynomials
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