A new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integration

DOI10.1177/1077546317698909zbMath1402.93148OpenAlexW2598261951MaRDI QIDQ4555756

Abdulnasir Isah, Noratiqah Farhana Ismail, Jian Rong Loh, Chang Phang

Publication date: 21 November 2018

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

Full work available at URL: https://doi.org/10.1177/1077546317698909

zbMATH Keywords

numerical solutionCaputo fractional derivativefractional optimal control problemsRiemann-Liouville fractional integrationGenocchi operational matrix of integration

Mathematics Subject Classification ID

Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Fractional ordinary differential equations (34A08)

Related Items (3)

Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations ⋮ New collocation scheme for solving fractional partial differential equations ⋮ A numerical technique for solving various kinds of fractional partial differential equations via Genocchi hybrid functions

Cites Work

• An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems
• A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
• Some new families of generalized Euler and Genocchi polynomials
• A numerical technique for solving fractional optimal control problems
• A simple accurate method for solving fractional variational and optimal control problems
• 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 note on the \(q\)-Genocchi numbers and polynomials
• A general formulation and solution scheme for fractional optimal control problems
• A Central Difference Numerical Scheme for Fractional Optimal Control Problems
• An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix
• A new approach to the Pontryagin maximum principle for nonlinear fractional optimal control problems
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• 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
• Non standard finite difference method for solving variable order fractional optimal control problems
• A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integration