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Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces

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Abstract

In this paper, considering fuzzy measure theory and matrix-valued fuzzy norm spaces, we study a differential system of non-autonomous cellular neural networks with mixed delays (NA-CNN-MD). Our main goal is to investigate the existence of a unique solution for the presented system of NA-CNN-MD in the matrix-valued fuzzy spaces and using the fuzzy measure. After investigating the existence of a unique solution of NA-CNNs-MD which are \(\varrho \)-pseudo almost periodically, we prove the Mittag–Leffler stability and Mittag-Leffler attractiveness for \(\varrho \)-pseudo almost periodic functions. Finally, two examples are given to illustrate the theoretical results.

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Acknowledgements

The authors are thankful to the area editor and referees for giving valuable comments and suggestions.

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Author notes

  1. Reza Saadati, Tofigh Allahviranloo have contributed equally to this work.

Authors and Affiliations

  1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

    Zahra Eidinejad & Reza Saadati

  2. Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey

    Tofigh Allahviranloo

Authors
  1. Zahra Eidinejad
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  2. Reza Saadati
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  3. Tofigh Allahviranloo
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Correspondence to Reza Saadati or Tofigh Allahviranloo.

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Communicated by Susana Montes.

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Eidinejad, Z., Saadati, R. & Allahviranloo, T. Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces. Comp. Appl. Math. 41, 369 (2022). https://doi.org/10.1007/s40314-022-02074-z

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  • DOI: https://doi.org/10.1007/s40314-022-02074-z

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