Fractional Stability

Details Fractional Stability Fractional Stability

2007-11-14

arxiv.org/abs/0711.2117v3

Physics

Classical Physics

5 pages, LaTeX

Scientific paper

A fractional generalization of variations is used to define a stability of non-integer order. Fractional variational derivatives are suggested to describe the properties of dynamical systems at fractional perturbations. We formulate stability with respect to motion changes at fractional changes of variables. Note that dynamical systems, which are unstable "in sense of Lyapunov", can be stable with respect to fractional variations.

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