A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials

From MaRDI portal
Publication:5270793

DOI10.1177/1077546314543727zbMath1365.26005OpenAlexW1997453580MaRDI QIDQ5270793

Hassan Khosravian-Arab, Mehdi Dehghan, Ehsan-Allah Hamedi

Publication date: 3 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314543727




Related Items

Discrete-time fractional optimal controlFixed terminal time fractional optimal control problem for discrete time singular systemSolving a class of fractional optimal control problems by the Hamilton–Jacobi–Bellman equationA new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integrationDirect numerical method for isoperimetric fractional variational problems based on operational matrixA numerical method for solving a class of fractional optimal control problems using Boubaker polynomial expansion schemeA simple accurate method for solving fractional variational and optimal control problemsNew numerical approach for fractional variational problems using shifted Legendre orthonormal polynomialsAn efficient approximation technique for solving a class of fractional optimal control problemsOptimal control computation for nonlinear fractional time-delay systems with state inequality constraintsOn optimal control problem subject to fractional order discrete time singular systemsA new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomialsOn approximate solution of optimal control problems by parabolic equationsAn operational approach for solving fractional pantograph differential equationSolving a class of fractional optimal control problems via a new efficient and accurate methodNumerical solutions for solving a class of fractional optimal control problems via fixed-point approachA new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equationsFractional-order Legendre-collocation method for solving fractional initial value problemsOn fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problemsCombination of epsilon and Ritz methods with multiscaling basis for solving a class of fractional optimal control problemsNumerical solution of two-dimensional variable-order fractional optimal control problem by generalized polynomial basisNumerical solution of fractional optimal controlNumerical Solution for A Class of Fractional Variational Problem via Second Order B-Spline FunctionComments on ``A discrete method to solve fractional optimal control problemsDiscrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequalityThe use of Jacobi wavelets for constrained approximation of rational Bézier curvesJacobi and Legendre variational tests for a class of generalized fractional variational problemError estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problemsAn approximate wavelets solution to the class of variational problems with fractional orderA SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVALAnalytical solutions of linear inhomogeneous fractional differential equation with continuous variable coefficientsNumerical approximation of fractional variational problems with several dependent variables using Jacobi poly-fractonomialsOptimal control of non-smooth fractional-order systems based on extended Caputo derivativeUnnamed ItemUnnamed ItemA new study on delay fractional variational problemsLegendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation


Uses Software


Cites Work