Global existence theory and chaos control of fractional differential equations |
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Authors: | Wei Lin |
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Affiliation: | 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 |
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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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Keywords: | Fractional differential equation Carathé odory condition Chaos control |
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