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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. 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.

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Project Euclid (Hosted at Cornell University Library)  


Cong, N.D. -  Tuan, H.T. - 

Id.: 70201599

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveFractional differential equations - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2017 Rocky Mountain Mathematics Consortium

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 0897-3962

Fecha de contribución: 11-nov-2017


* J. Integral Equations Applications 29, no. 4 (2017), 585-608
* doi:10.1216/JIE-2017-29-4-585

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