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...
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| Published in | Journal of mathematical analysis and applications Vol. 332; no. 1; pp. 709 - 726 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
San Diego, CA
Elsevier Inc
01.08.2007
Elsevier |
| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Lin, Wei |
| Author_xml | – sequence: 1 givenname: Wei surname: Lin fullname: Lin, Wei email: wlin@fudan.edu.cn organization: Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, Research Center for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, 220 HanDan road, Shanghai 200433, China |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18717953$$DView record in Pascal Francis |
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| CODEN | JMANAK |
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| Keywords | Fractional differential equation Chaos control Carathéodory condition Chaos Mathematical analysis Differential equation Existence theory Initial value problem Control theory Application |
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| SubjectTerms | 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 |
| Title | Global existence theory and chaos control of fractional differential equations |
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