Fractional sequential mechanics — models with symmetric fractional derivative

摘要: The symmetric fractional derivative is introduced and its properties are studied. Euler-Lagrange equations for models depending on sequential derivatives of type derived using minimal action principle. Hamiltonian such systems following methods classical generalized mechanics the Hamilton’s obtained. It explicitly shown that non-conservative. limiting procedure recovers higher order derivatives. method applied to deformation harmonic oscillator case frictional force proportional velocity.