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**Finite-time stability of fractional-order BAM neural networks with distributed delay.**
*(English)*
Zbl 1474.93177

Summary: Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper. An illustrative example is also given to demonstrate the effectiveness of the obtained result.

### MSC:

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

34K20 | Stability theory of functional-differential equations |

34K37 | Functional-differential equations with fractional derivatives |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

93A14 | Decentralized systems |

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\textit{Y. Cao} and \textit{C. Bai}, Abstr. Appl. Anal. 2014, Article ID 634803, 8 p. (2014; Zbl 1474.93177)

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### References:

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