Numerical solutions for fractional optimal control problems by using generalised fractional-order Chebyshev wavelets

DOI10.1080/00207721.2021.1972357zbMath1498.49053OpenAlexW4200332082MaRDI QIDQ5867064

Ghodsieh Ghanbari, Mohsen Razzaghi

Publication date: 22 September 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2021.1972357

zbMATH Keywords

beta functionnumerical methodfractional integralfractional optimal controlfractional-order Chebyshev wavelet

Mathematics Subject Classification ID

Numerical methods in optimal control (49M99)

Cites Work

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• The second kind Chebyshev wavelet method for solving fractional differential equations
• Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations
• A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
• An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
• Generalized Taylor's formula
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• Fractional-order Legendre functions for solving fractional-order differential equations
• An efficient approximation technique for solving a class of fractional optimal control problems
• Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials
• Numerical solution of fractional optimal control
• Wavelets method for solving fractional optimal control problems
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• The role of fractional calculus in modeling biological phenomena: a review
• Transforming linear time-varying optimal control problems with quadratic criteria into quadratic programming ones via wavelets
• Generalized shifted Chebyshev polynomials for fractional optimal control problems
• A numerical approach for solving fractional optimal control problems using modified hat functions
• Fractional-order Bernoulli wavelets and their applications
• Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative
• Legendre wavelets approach for numerical solutions of distributed order fractional differential equations
• A new approach based on using Chebyshev wavelets for solving various optimal control problems
• New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
• An existence theorem for a fractional control problem
• Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
• Fast wavelet transforms and numerical algorithms I
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
• The wavelet transform, time-frequency localization and signal analysis
• Comparison on wavelets techniques for solving fractional optimal control problems
• Solving a class of fractional optimal control problems by the Hamilton–Jacobi–Bellman equation
• A numerical solution for fractional optimal control problems via Bernoulli polynomials
• Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems
• Solving fractional optimal control problems by new Bernoulli wavelets operational matrices
• Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error

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