Global existence theory and chaos control of fractional differential equations

In this paper, the initial value problem for a class of fractional differential equations is discussed, which generalizes the existent result to a wide class of fractional differential equations. Also the theoretical result established in the paper ensures the validity of chaos control of fractional...

Full description

Saved in:
Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 332; no. 1; pp. 709 - 726
Main Author Lin, Wei
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.08.2007
Elsevier
Subjects
Calculus of variations and optimal control
Carathéodory condition
Chaos control
Exact sciences and technology
Fractional differential equation
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Fractional differential equation
Chaos control
Carathéodory condition
Chaos
Mathematical analysis
Differential equation
Existence theory
Initial value problem
Control theory
Application
Online AccessGet full text

Cover

More Information
Summary:In this paper, the initial value problem for a class of fractional differential equations is discussed, which generalizes the existent result to a wide class of fractional differential equations. Also the theoretical result established in the paper ensures the validity of chaos control of fractional differential equations. In particular, feed-back control of chaotic fractional differential equation is theoretically investigated and the fractional Lorenz system as a numerical example is further provided to verify the analytical result.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2006.10.040