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arXiv · 1605.00087

Generation of nonlocal fractional dynamical systems by fractional differential equations

N. D. Cong·H. T. Tuan
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Abstract

We show that any two trajectories of solutions of a one-dimensional fractional differential equation (FDE) either coincide or do not intersect each other. In contrary, in the higher dimensional case, two different trajectories can meet. Furthermore, one-dimensional FDEs and triangular systems of FDEs generate nonlocal fractional dynamical systems, whereas a higher dimensional FDE does, in general, not generate a nonlocal dynamical system.

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N. D. Cong, H. T. Tuan. 2016-04-30. Generation of nonlocal fractional dynamical systems by fractional differential equations. https://doi.org/10.1216/jie-2017-29-4-585

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