Original scientific paper

Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method

Maryam Alipour ; Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Mohammad Ali Vali ; Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization methods to resolve optimal control problems ruled by Volterra - Fredholm integral equations. The resulting value shows that the proposed method is trustworthy and is able to provide analytic treatment that clarifies such equations and is usable for a large class of nonlinear optimal control problems governed by integral equations.

Keywords

Optimal control problems; Volterra-Fredholm integral equations; Modified variational iteration method; Parametrization methods.

Hrčak ID:

252606

URI

https://hrcak.srce.hr/252606

Publication date:

10.3.2021.

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