A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components
DOI10.22034/cmde.2020.34992.1598zbMath1499.49009OpenAlexW3013743936MaRDI QIDQ5025464
Mojtaba Nazari, A. Nemati, Vahid Taherpour
Publication date: 2 February 2022
Full work available at URL: https://cmde.tabrizu.ac.ir/article_10330_cab7ffd5a82352b18833673d5b555aaa.pdf
convergenceoptimal control problemfractional derivativespectral Ritz methodBernoulli operational matrix
Bernoulli and Euler numbers and polynomials (11B68) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimality conditions and a solution scheme for fractional optimal control problems
- Hybrid functions approach for nonlinear constrained optimal control problems
- Epsilon-Ritz method for solving a class of fractional constrained optimization problems
- Some properties of Bernoulli polynomials and their generalizations
- Fractional optimal control problem of a distributed system in cylindrical coordinates
- A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
- A new Bernoulli matrix method for solving second order linear partial differential equations with the convergence analysis
- An approximate method for numerically solving fractional order optimal control problems of general form
- A new operational matrix for solving fractional-order differential equations
- The Boubaker polynomials and their application to solve fractional optimal control problems
- Numerical solutions for solving a class of fractional optimal control problems via fixed-point approach
- On fractional SIRC model with \textit{Salmonella} bacterial infection
- Bernstein operational matrix of fractional derivatives and its applications
- Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method
- Buckling analysis of circular functionally graded plate under uniform radial compression including shear deformation with linear and quadratic thickness variation on the Pasternak elastic foundation
- Projective synchronization of piecewise nonlinear chaotic maps
- Fractional-order Bernoulli wavelets and their applications
- A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
- Numerical treatment for solving fractional SIRC model and influenza A
- An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index
- An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix
- A Formulation and Numerical Scheme for Fractional Optimal Control Problems
- Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
- Operational matrices of Bernstein polynomials and their applications
- Fractional optimal control problems: optimality conditions and numerical solution
- A numerical solution for fractional optimal control problems via Bernoulli polynomials
- Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix
- A differential operator approach to multidimensional optimal control
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
- Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems
- A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method
- The Use of the Ritz Method and Laplace Transform for Solving 2D Fractional‐Order Optimal Control Problems Described by the Roesser Model
- Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets
- Spectral Methods
This page was built for publication: A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components