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Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems
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نویسنده
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naseri r. ,heydari a. ,bagherzadeh a.s.
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منبع
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iranian journal of numerical analysis and optimization - 2022 - دوره : 12 - شماره : 3 - صفحه:513 -532
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چکیده
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Shifted legendre orthonormal polynomials (slops) are used to approximatethe numerical solutions of fractional optimal control problems. todo so, first, the operational matrix of the caputo fractional derivative,the slops, and lagrange multipliers are used to convert such problemsinto algebraic equations. also, the method is proposed for solving multidimensionalproblems, and its convergence is proved. this method is testedon some nonlinear examples. the results indicate that the technique canefficiently solve multidimensional problems.
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کلیدواژه
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Shifted Legendre orthonormal polynomials (SLOPs); Fractional optimal control problem (FOCP); Caputo fractional derivative
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آدرس
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payame noor university (pnu), department of mathematics, Iran, payame noor university (pnu), department of mathematics, iran, ferdowsi university of mashhad, faculty of mathematical science, department of applied mathematics, Iran
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پست الکترونیکی
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amirsb@um.ac.ir
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Authors
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