Statistics, Optimization and Information Computing, Volume (7), No (2), Year (2019-5)

Title : ( Solving Fractional Variational Problem Via an Orthonormal Function )

Authors: Akram kheirabadi , Asadollah Mahmoudzadeh Vaziri , Sohrab Effati ,

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In the present paper, a direct numerical technique for solving fractional optimal control problems based on an orthonormal wavelet, is introduced. First we approximate the involved functions by Sine-Cosine wavelet basis; then, an operational matrix is used to transform the given problem into a linear system of algebraic equations, which is easier. In fact operational matrix of Riemann-Liouville fractional integration and derivative of Sine-Cosine wavelet are employed to achieve a linear algebraic equation. The mentioned matrices are derived via hat functions. The solution of transformed system, gives us the solution of original problem. Two numerical examples are also given. Finally, the paper is ended with conclusion


, Fractional optimal control, Sine-Cosine wavelet, Operational matrix, Hat function
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author = {Akram Kheirabadi and Asadollah Mahmoudzadeh Vaziri and Effati, Sohrab},
title = {Solving Fractional Variational Problem Via an Orthonormal Function},
journal = {Statistics, Optimization and Information Computing},
year = {2019},
volume = {7},
number = {2},
month = {May},
issn = {2311-004X},
keywords = {Fractional optimal control; Sine-Cosine wavelet; Operational matrix; Hat function},


%0 Journal Article
%T Solving Fractional Variational Problem Via an Orthonormal Function
%A Akram Kheirabadi
%A Asadollah Mahmoudzadeh Vaziri
%A Effati, Sohrab
%J Statistics, Optimization and Information Computing
%@ 2311-004X
%D 2019