در حال نمایش موارد 1 - 6 از 6
Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems
shifted Legendre orthonormal polynomials (SLOPs) are used to approximate the numerical solutions of fractional optimal control problems. To do so, first, the operational matrix of the Caputo fractional derivative, ...
Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method
This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described ...
An approximation method for numerical solution of multi-dimensional feedback delay fractional optimal control problems by Bernstein polynomials
In this paper we present a new method for solving fractional optimal control problems with delays in state and control. This method is based upon Bernstein polynomial basis and using feedback control. The main advantage ...
2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations
We present a numerical method for solving linear and nonlinear fractional partial differential equations (FPDEs) with variable coefficients. The main aim of the proposed method is to introduce an orthogonal basis of ...
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials
A new numerical scheme based on Genocchi polynomials is constructed to solve fractional Sturm–Liouville problems of order two in which the fractional derivative is considered in the Caputo sense. First, the differen-tial ...
Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets
We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic ...