کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614031 1339278 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Noether symmetries and conserved quantities for fractional forced Birkhoffian systems
چکیده انگلیسی

In this paper Noether symmetries and conserved quantities for fractional forced Birkhoffian systems are studied. Firstly, a new fractional Pfaff–Birkhoff variational principle with Riemann–Liouville derivatives and generalized force is established. And from which the fractional forced Birkhoff equations are derived. Secondly, the definitions and the criteria of the invariance of a functional under an ε-parameter group of infinitesimal transformations are given. Finally, the fractional Noether theorems for forced Birkhoffian systems are obtained. And an illustrative example is presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 442, Issue 2, 15 October 2016, Pages 782–795
نویسندگان
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