TY - JOUR
T1 - Existence and Uniqueness of the Solution for Hilfer Neural Networks with Delays
AU - Wang , Lulu
AU - Tian , Yu
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 366
EP - 376
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.366
UR - https://global-sci.org/intro/article_detail/jnma/21931.html
KW - Hilfer fractional differential equation, existence and uniqueness,
weighted space of continuous functions, fixed point theory.
AB - <p style="text-align: justify;">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.</p>