کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
563683 875522 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete-time fractional variational problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Discrete-time fractional variational problems
چکیده انگلیسی

We introduce a discrete-time fractional calculus of variations on the time scale (hZ)a,a∈R,h>0. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler–Lagrange and Legendre type conditions are given. They show that solutions to the considered fractional problems become the classical discrete-time solutions when the fractional order of the discrete-derivatives are integer values, and that they converge to the fractional continuous-time solutions when h tends to zero. Our Legendre type condition is useful to eliminate false candidates identified via the Euler–Lagrange fractional equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 91, Issue 3, March 2011, Pages 513–524
نویسندگان
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