Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations
type: Item
instance of: scholarly article
title: Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations
zbMATH Open document ID: 1404.49021
author: Kobra Rabiei
author: Y. Ordokhani
author: E. Babolian
published in: Acta Applicandae Mathematicae
publication date: 2018-12-10T00:00:00Z
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49K21
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 6991239
zbMATH Keywords: fractional-order Legendre functions
zbMATH Keywords: optimal control problem
zbMATH Keywords: fractional integro-differential equations
zbMATH Keywords: operational matrix
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: s10440-018-0175-0
OpenAlex ID: W2794688868
cites work: Lagrange approach to the optimal control of diffusions
cites work: Critical points of the optimal quantum control landscape: a propagator approach
cites work: The optimal homotopy analysis method for solving linear optimal control problems
cites work: Fractional control of heat diffusion systems
cites work: A Fractional Adaptation Scheme for Lateral Control of an AGV
cites work: A general formulation and solution scheme for fractional optimal control problems
cites work: A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
cites work: A Formulation and Numerical Scheme for Fractional Optimal Control Problems
cites work: On the existence and continuous dependence on parameter of solutions to some fractional Dirichlet problem with application to Lagrange optimal control problem
cites work: An approximate method for numerically solving fractional order optimal control problems of general form
cites work: Fractional optimal control of a 2-dimensional distributed system using eigenfunctions
cites work: Time-fractional radial diffusion in a sphere
cites work: 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
cites work: A numerical solution for fractional optimal control problems via Bernoulli polynomials
cites work: A discrete method to solve fractional optimal control problems
cites work: The Boubaker polynomials and their application to solve fractional optimal control problems
cites work: Optimal control computation for integro-differential aerodynamic equations
cites work: Hybrid functions approach for optimal control of systems described by integro-differential equations
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Fractional-order Legendre functions for solving fractional-order differential equations
cites work: Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
cites work: Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials
cites work: The effect of vaccines on backward bifurcation in a fractional order HIV model
cites work: Q4146094
cites work: Q5579577
DOI: 10.1007/S10440-018-0175-0
description: scientific article; zbMATH DE number 6991239