کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
755851 896077 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized transversality conditions in fractional calculus of variations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Generalized transversality conditions in fractional calculus of variations
چکیده انگلیسی

Problems of calculus of variations with variable endpoints cannot be solved without transversality conditions. Here, we establish such type of conditions for fractional variational problems with the Caputo derivative. We consider: the Bolza-type fractional variational problem, the fractional variational problem with a Lagrangian that may also depend on the unspecified end-point φ(b)φ(b), where x=φ(t)x=φ(t) is a given curve, and the infinite horizon fractional variational problem.


► We proved transversality conditions for the Bolza-type fractional variational problem.
► The Lagrangian depending on the unspecified end-point φ(b)φ(b), where x=φ(t)x=φ(t) is a given curve, is studied.
► We proved transversality conditions for the infinite horizon fractional variational problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 3, March 2013, Pages 443–452
نویسندگان
, ,