Existence and Uniqueness of the Solution for Hilfer Neural Networks with Delays

Year:    2023

Author:    Lulu Wang, Yu Tian

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 366–376

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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2023.366

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 366–376

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Hilfer fractional differential equation existence and uniqueness weighted space of continuous functions fixed point theory.

Author Details

Lulu Wang

Yu Tian