کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
755851 | 896077 | 2013 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Generalized transversality conditions in fractional calculus of variations Generalized transversality conditions in fractional calculus of variations](/preview/png/755851.png)
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.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 3, March 2013, Pages 443–452