Yutian Ma and Wenwen Li.  Based on BP nerve Research on the Stability Criterion of Fractional Differential Equations of Network Algorithm.  Dynamic Systems and Applications 29 (2020) No. 3, 477-491

https://doi.org/10.46719/dsa20202937

ABSTRACT.
With the extensive application of fractional differential equations in various fields, the study of their stability has gradually become a research hotspot. In the modern era where various algorithms are constantly updated and iterative, bp neural network algorithms are used in various studies because of their outstanding advantages. In view of this, the main purpose of the text is to study the stability criterion of fractional differential equations, which is based on BP neural network algorithm, which optimizes the basic model on the basis of the traditional BP neural network algorithm, which makes the optimized model more suitable for constructing the comparative model of state-related pulse fractional BP neural network and state-related pulse fractional nonlinear system. It shows the validity and correctness of the state-related pulse fractional BP neural network and the state-related pulse fractional nonlinear system. It is hoped that the research in this paper can provide a little help for the stability study of fractional differential equations.

Keywords. BP nerve network; causal operator; stability criterion