Existence, uniqueness and stability analysis of fractional-order neural networks with multiple delays and variable coefficients: Banach fixed point approach

Authors

  • Kanwal Niazi Department of Mathematics & Statistics, The University of Lahore, Sargodha campus
  • Naveed Ahmed School Education Department, Punjab, Pakistan
  • Aneela Umar The Citizen Foundations, Khushab, Punjab, Pakistan
  • Kiran Pasha Punjab Group of Colleges, Quaidabad, Punjab, Pakistan

DOI:

https://doi.org/10.52223/ijam.2023.312

Abstract

This study uses the Banach fixed point idea and analysis technique to explore the existence, uniqueness, and stability of solutions for a class of fractional-order neural networks. For fractional-order neural networks with multiple time delays and variable coefficients, a necessary situation is stated to guarantee the uniqueness, existence, and uniform solutions of stability. The outcomes are simple to confirm in practice and, to a certain extent, build upon and extend several prior initiatives. An excellent example is given to illustrate how the findings might be applied and relied upon.

Downloads

Published

2023-10-28

How to Cite

Kanwal Niazi, Ahmed, N., Umar, A. . ., & Pasha, K. (2023). Existence, uniqueness and stability analysis of fractional-order neural networks with multiple delays and variable coefficients: Banach fixed point approach. International Journal of Advancements in Mathematics, 3(1), 25–42. https://doi.org/10.52223/ijam.2023.312