Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 5Citation - Scopus: 7About Fractional Calculus of Singular Lagrangians(Fuji Technology Press Ltd, 2005) Baleanu, DumitruIn this paper the solutions of the fractional Euler-Lagrange equations corresponding to singular fractional Lagrangians were examined. We observed that if a Lagrangian is singular in the classical sense, it remains singular after being fractionally generalized. The fractional Lagrangian is non-local but its gauge symmetry was preserved despite complexity of equations in fractional cases. We generalized four examples of singular Lagrangians admitting gauge symmetry in fractional case and found solutions to corresponding Euler-Lagrange equations.Article Citation - WoS: 31Citation - Scopus: 44Fractional Variational Principles in Action(Iop Publishing Ltd, 2009) Baleanu, DumitruThe fractional calculus has gained considerable importance in various fields of science and engineering, especially during the last few decades. An open issue in this emerging field is represented by the fractional variational principles area. Therefore, the fractional Euler-Lagrange and Hamilton equations started to be examined intensely during the last decade. In this paper, we review some new trends in this field and we discuss some of their potential applications.Conference Object Citation - WoS: 50Citation - Scopus: 60New Applications of Fractional Variational Principles(Pergamon-elsevier Science Ltd, 2008) Baleanu, DumitruIn this paper the fractional variational principles of constrained systems involving Riesz derivatives are discussed and one example is analyzed in detail. The fractional Euler-Lagrange equations of two fractional Lagrangians which differ by a fractional Riesz derivative are investigated.