کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708132 1012813 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional variational problems with the Riesz–Caputo derivative
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Fractional variational problems with the Riesz–Caputo derivative
چکیده انگلیسی

In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz–Caputo derivative. First we prove a generalized Euler–Lagrange equation for the case when the interval of integration of the functional is different from the interval of the fractional derivative. Next we consider integral dynamic constraints on the problem, for several different cases. Finally, we determine optimality conditions for functionals depending not only on the admissible functions, but on time also, and we present a necessary condition for a pair function-time to be an optimal solution to the problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 2, February 2012, Pages 142–148
نویسندگان
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