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Existence and Uniqueness of the Solution for Hilfer Neutral Neural Networks with Delays
  
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KeyWord:Hilfer fractional differential equation, existence and uniqueness, weighted space of continuous functions, fixed point theory
Author NameAffiliation
Lulu Wang School of science, Beijing University of Posts and Telecommunications, Beijing 100876, China 
Yu Tian School of science, Beijing University of Posts and Telecommunications, Beijing 100876, China 
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Abstract:
      This paper mainly concerns with a class of nonlinear Hilfer fractional neutral recurrent neural networks with time varying delays. The existence and uniqueness of solutions in the space of weighted continuous functions are established by Banach's contraction principle. Finally, an example is provided to illustrate the application of the obtained results.