## Stability of nonlinear $$h$$-difference systems with $$n$$ fractional orders.(English)Zbl 1340.39029

Summary: We study the stability of systems of $$h$$-difference equations of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with $$n$$ fractional orders. Equivalent descriptions of fractional $$h$$-difference systems are presented. Sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with $$n$$-orders.

### MSC:

 39A30 Stability theory for difference equations 39A10 Additive difference equations 39A22 Growth, boundedness, comparison of solutions to difference equations

### Software:

Fractional Order Chaotic Systems; Maple
Full Text:

### References:

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