Translator Disclaimer
2017 Generation of nonlocal fractional dynamical systems by fractional differential equations
N.D. Cong, H.T. Tuan
J. Integral Equations Applications 29(4): 585-608 (2017). DOI: 10.1216/JIE-2017-29-4-585

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. 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.

Citation

Download Citation

N.D. Cong. H.T. Tuan. "Generation of nonlocal fractional dynamical systems by fractional differential equations." J. Integral Equations Applications 29 (4) 585 - 608, 2017. https://doi.org/10.1216/JIE-2017-29-4-585

Information

Published: 2017
First available in Project Euclid: 10 November 2017

zbMATH: 1385.34009
MathSciNet: MR3722842
Digital Object Identifier: 10.1216/JIE-2017-29-4-585

Subjects:
Primary: 34A08, 34A10, 34B10, 34C11, 34C35

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
24 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.29 • No. 4 • 2017
Back to Top