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B-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy
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نویسنده
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Azizi H. ,Loghmani G.B. ,Hooshmand Asl M.R. ,Dehghan Nezhad A.
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منبع
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journal of sciences islamic republic of iran - 2012 - دوره : 23 - شماره : 1 - صفحه:59 -65
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چکیده
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In this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal errors are obtained for the sake of comparison. the obtained results are shown that the technique introduced here is accurate and easy to apply
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کلیدواژه
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B-spline functions; Fractional derivative; Fractional integral; Optimal control problem; Boundary value problems of fractional order
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آدرس
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yazd university, Faculty of Mathematics, Department of Applied Mathematics, ایران, yazd university, Faculty of Mathematics, Department of Applied Mathematics, ایران, yazd university, Faculty of Mathematics, Department of Computer Science, ایران, yazd university, Faculty of Mathematics, Department of Pure Mathematics, ایران
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پست الکترونیکی
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loghmani@yazduni.ac.ir
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Authors
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