Tarasov, Vasily E. Fractional variations for dynamical systems: Hamilton and Lagrange approaches. (English) Zbl 1122.70013 J. Phys. A, Math. Gen. 39, No. 26, 8409-8425 (2006). Summary: Fractional generalization of an exterior derivative for calculus of variations is defined. The Hamilton and Lagrange approaches are considered. Fractional Hamilton and Euler-Lagrange equations are derived. Fractional equations are obtained by fractional variation of Lagrangian and Hamiltonian that have only integer derivatives. Cited in 29 Documents MSC: 70H30 Other variational principles in mechanics 37J05 Relations of dynamical systems with symplectic geometry and topology (MSC2010) 49J05 Existence theories for free problems in one independent variable 70H03 Lagrange’s equations 70H05 Hamilton’s equations PDFBibTeX XMLCite \textit{V. E. Tarasov}, J. Phys. A, Math. Gen. 39, No. 26, 8409--8425 (2006; Zbl 1122.70013) Full Text: DOI arXiv