Title of article :
B-Spline Solution of Boundary Value Problems of Fractional Order Based on Optimal Control Strategy
Author/Authors :
Azizi, H. yazd university - Faculty of Mathematics - Department of Applied Mathematics, يزد, ايران , Loghmani, G.B. yazd university - Faculty of Mathematics - Department of Applied Mathematics, يزد, ايران , Hooshmand Asl, M.R. yazd university - Faculty of Mathematics - Department of Computer Science, يزد, ايران , Dehghan Nezhad, A. yazd university - Faculty of Mathematics - Department of Pure Mathematics, يزد, ايران
Abstract :
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
Keywords :
B , spline functions , Fractional derivative , Fractional integral , Optimal control problem , Boundary value problems of fractional order
Journal title :
Journal of Sciences Islamic Republic of Iran
Journal title :
Journal of Sciences Islamic Republic of Iran
