New extension to fuzzy dynamic system and fuzzy fixed point results with an application

In this paper we introduce the notion of fuzzy dynamic system in $ b $ -metric-like space. By applying this, discuss some new refinements of the $ F $-fuzzy Suzuki-type fixed point results for the fuzzy operators are presented. Also, establish the concept fuzzy dynamic system instead of the Piscard iterative sequence, which improves the existing results for such analysis as those presented here. Includes some tangible instances and an application are given to highlight the usability and validity of the theoretical results.