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

Lin, Wei

J. Math. Anal. Appl. 332, No. 1, 709-726 (2007).

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.

MSC:

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

Keywords:

Carathéodory condition

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