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

Maryam Alipour, Mohammad Ali Vali


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.


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)