Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics. (13th May 2012)

• Record Type: Journal Article
• Authors: Odzijewicz, Tatiana; Malinowska, Agnieszka B.; Torres, Delfim F. M.
• Other Names: Noor Muhammad Aslam Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-05-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/871912
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, as well as natural boundary conditions for free-boundary value problems. The fractional action-like variational approach (FALVA) is extended and some applications to physics discussed.