A computational method based on the generalized Lucas polynomials for fractional optimal control problems

DOI10.1186/s13662-022-03737-1OpenAlexW4309941121MaRDI QIDQ2110489

Yanyan Li

Publication date: 21 December 2022

Published in: Advances in Continuous and Discrete Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-022-03737-1

zbMATH Keywords

Pontryagin's maximum principlespectral collocation methodgeneralized Lucas polynomialsoperational matricesCaputo fractional derivativefractional optimal control problems

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Difference and functional equations (39-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional order optimal control problems with free terminal time
• An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new algorithm based on Lucas polynomials for approximate solution of 1D and 2D nonlinear generalized Benjamin-Bona-Mahony-Burgers equation
• An efficient approximation technique for solving a class of fractional optimal control problems
• The Boubaker polynomials and their application to solve fractional optimal control problems
• Wavelets method for solving fractional optimal control problems
• Generalized Lucas polynomial sequence approach for fractional differential equations
• Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control
• An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations
• Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
• Combination of Lucas wavelets with Legendre-Gauss quadrature for fractional Fredholm-Volterra integro-differential equations
• A new numerical treatment based on Lucas polynomials for 1D and 2D sinh-Gordon equation
• Optimal control of a fractional order model for granular SEIR epidemic with uncertainty
• A Bessel collocation method for solving fractional optimal control problems
• Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule
• A general formulation and solution scheme for fractional optimal control problems
• Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation
• A Formulation and Numerical Scheme for Fractional Optimal Control Problems
• An approximate method for solving fractional optimal control problems by the hybrid of block-pulse functions and Taylor polynomials
• Comparison on wavelets techniques for solving fractional optimal control problems
• An approximate method for solving fractional optimal control problems by hybrid functions
• A numerical solution for fractional optimal control problems via Bernoulli polynomials
• A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems
• An iterative approach for solving fractional optimal control problems
• A new Wavelet Method for Variable‐Order Fractional Optimal Control Problems
• Fibonacci and Lucas Numbers With Applications
• General formulation for the numerical solution of optimal control problems
• Solving fractional optimal control problems by new Bernoulli wavelets operational matrices
• An indirect convergent Jacobi spectral collocation method for fractional optimal control problems
• Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error
• Numerical solution of nonlinear fractional optimal control problems using generalized Bernoulli polynomials
• Fractional Chebyshev pseudospectral method for fractional optimal control problems
• Fractional variational calculus in terms of Riesz fractional derivatives
• A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations
• Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost

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