b-spline solution of boundary value problems of fractional order based on optimal control strategy
نویسندگان
چکیده
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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عنوان ژورنال:
journal of sciences, islamic republic of iranناشر: university of tehran
ISSN 1016-1104
دوره 23
شماره 1 2012
میزبانی شده توسط پلتفرم ابری doprax.com
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