Approximated Solutions of Linear Quadratic Fractional Optimal Control Problems

S. Soradi Zeid; M. Yousefi; M. Yousefi

doi:10.1515/jamsi-2016-0010

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Approximated Solutions of Linear Quadratic Fractional Optimal Control Problems

Journal of Applied Mathematics, Statistics and Informatics

Volume 12 (2016): Issue 2 (December 2016)

By: S. Soradi Zeid, M. Yousefi and M. Yousefi

Open Access

|Dec 2016

Abstract

In this study we apply the Adomian decomposition method (ADM) to approximate the solution of fractional optimal control problems (FOCPs) where the dynamic of system is a linear control system with constant coefficient and the cost functional is defined in a quadratic form. First we stated the necessary optimality conditions in a form of fractional two point boundary value problem (TPBVP), then the ADM is used to solve the resulting fractional differential equations (FDEs). Some examples are provided to demonstrate the validity and applicability of the proposed method.

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Articles in this issue

DOI: https://doi.org/10.1515/jamsi-2016-0010 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 83 - 94

Published on: Dec 30, 2016

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Adomian decomposition method,

Fractional optimal control problem,

Fractional two point boundary value problem,

Fractional order differential equations

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2016 S. Soradi Zeid, M. Yousefi, M. Yousefi, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 12 (2016): Issue 2 (December 2016)