Journal of Integral Equations and Applications
- J. Integral Equations Applications
- Volume 29, Number 4 (2017), 585-608.
Generation of nonlocal fractional dynamical systems by fractional differential equations
We show that any two trajectories of solutions of a one-dimensional fractional differential equation (FDE) either coincide or do not intersect each other. However, 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 not, in general, generate a nonlocal dynamical system.
J. Integral Equations Applications, Volume 29, Number 4 (2017), 585-608.
First available in Project Euclid: 10 November 2017
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Cong, N.D.; Tuan, H.T. Generation of nonlocal fractional dynamical systems by fractional differential equations. J. Integral Equations Applications 29 (2017), no. 4, 585--608. doi:10.1216/JIE-2017-29-4-585. https://projecteuclid.org/euclid.jiea/1510282935