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A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation
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نویسنده
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ramezanpour a. ,reihani p. ,vahidi j. ,soltanian f.
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منبع
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international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : Special Issue - صفحه:67 -73
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چکیده
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In this article, ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the caputo fractional derivative. using polynomial basis functions, we obtain a system of nonlinear algebraic equations. this nonlinear system of equation is solved and the coefficients of basis polynomial are derived. the convergence of the numerical solution is investigated. some numerical examples are presented which illustrate the theoretical results and the performance of the method.
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کلیدواژه
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Fractional Optimal Control Problems ,Caputo fractional derivative ,Optimal Control Problems ,Polynomial basis functions
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آدرس
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payame noor university, department of mathematics, Iran, payame noor university, department of mathematics, Iran, iran university of science and technology, department of mathematics, Iran. university of south africa (unisa), department of mathematical sciences, South Africa, payame noor university, department of mathematics, Iran
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Authors
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