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Global existence theory and chaos control of fractional differential equations. (English) Zbl 1113.37016
Summary: 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, feedback 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.

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
26A33 Fractional derivatives and integrals
93D15 Stabilization of systems by feedback
93B52 Feedback control
Full Text: DOI
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