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Volume 5, Issue 2
Existence and Uniqueness of the Solution for Hilfer Neural Networks with Delays

Lulu Wang & Yu Tian

DOI: 10.12150/jnma.2023.366

J. Nonl. Mod. Anal., 5 (2023), pp. 366-376.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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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.

  • Keywords

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

  • AMS Subject Headings

34A08, 34A12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-366, author = {Wang , Lulu and Tian , Yu}, title = {Existence and Uniqueness of the Solution for Hilfer Neural Networks with Delays}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.366}, url = {http://global-sci.org/intro/article_detail/jnma/21931.html} }
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 -

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.

Wang , Lulu and Tian , Yu. (2023). Existence and Uniqueness of the Solution for Hilfer Neural Networks with Delays. Journal of Nonlinear Modeling and Analysis. 5 (2). 366-376. doi:10.12150/jnma.2023.366
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