Generalized Hamilton's principle with fractional derivatives

DOI10.1088/1751-8113/43/25/255203zbMath1379.70052arXiv1101.2963OpenAlexW2021625216MaRDI QIDQ3575092

Sanja Konjik, Stevan Pilipović, Lj Oparnica, Teodor M. Atanacković

Publication date: 7 July 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2963

zbMATH Keywords

variational methodsHamilton's principleLagrange's equationsfractional derivatives and integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Variational principles in infinite-dimensional spaces (58E30) Hamilton's principle (70H25) Optimality conditions for free problems in one independent variable (49K05)

Related Items (7)

Numerical approximations of fractional derivatives with applications ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Adiabatic invariants for generalized fractional Birkhoffian mechanics and their applications ⋮ Conserved quantities for Hamiltonian systems on time scales ⋮ Noether symmetry method for Hamiltonian mechanics involving generalized operators ⋮ Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas ⋮ Hamilton’s principle with variable order fractional derivatives

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