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Generation of nonlocal fractional dynamical systems by fractional differential equations

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 Added by Hoang The Tuan
 Publication date 2016
  fields
and research's language is English




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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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