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In this paper, a novel uncertain fractional-orders and parameters' inversionmechanism via the differential evolution algorithms (DE) with a generalmathematical model is proposed for non-commensurate and hyper fractionalchaotic systems. The problems of fractional-order chaos' inversion estimationare converted into multiple modal non-negative objective functions'minimization, which takes fractional-orders and parameters as its particularindependent variables. And the objective is to find optimal combinations offractional-orders and systematic parameters by DE in the predefined intervalsfor fractional order chaotic systems such that the objective function isminimized. Simulations are done to estimate a series of non-commensurate andhyper fractional chaotic systems. The experiments' results show that theproposed inversion mechanism for fractional-order chaotic systems is asuccessful methods with the advantages of high precision and robustness.

Inversion mechanism of uncertain orders and parameters for the  non-commensurate and hyper fractional order chaotic systems via differential  evolution