<p>Examining the model of ocean system by observing how climate changing in the wold wide as a result of predators is the main goal of this study. We have created a mathematical model to study the rates of ocean system due to climate change impact after implementing different measures such as continuous effect of different types of variables. The Fractal-Fractional operator (FFO) is used to convert the model into a fractional-ordered model for continuous monitoring climate change, providing reliable numerical solutions. Qualitative and quantitative analysis are derived to ensure the stability of the newly constructed fractional-order ocean system. Analyzing the model’s boundedness and uniqueness provides accurate results and helps in our understanding of its complicated dynamics. An analysis was conducted to study how the ocean system impact due to climate change affects under various factors. The rate of climate change under ocean system in each sub-compartment is calculated using the norm, and then verified for accuracy using Lipschitz conditions. The Hyers-Ulam stability of the model is also studied to understand the overall impact of the climate changes in different stages. Flip bifurcation of the ocean system impact due to climate change is analyzed and also explained by simulation like as effect of each parameter on the ocean system variables in specified range. Additionally, the impact of the fractional operator on the generalized form of the Mittag-Leffler kernel is explored using a two-step Lagrange polynomial technique for reliable solution. The effects of different factors effecting the climate change on ocean system are illustrated using numerical simulations using MATLAB. Simulations has been made to see the real behaviour and impact of climate changes in different stages of ocean system under different parameters aspects. This research will aid in understanding climate changes impact and developing management strategies based on verified findings for the environment.</p>