In this paper, we propose a new model for predicting the eating behaviour of food model by using the different fractional derivative operators. The model considers essential factors such as food availability, sensory stimuli, hunger level, and social influences in food choices. Fractional derivative operators (Caputo, Caputo-Fabrizio, Atangana Baleanu, and Atangana Baleanu fractal fractional) are integrated into the model, providing a more realistic representation of eating behaviour over time. We solve the equations numerically and validate the model by comparing the predictions with real-world data. The suggested model improves the accuracy of existing model in predicting the eating behaviour of food model, and fractional derivative operators can be applied to other fields that involve complex and long-term dependencies. Our research offers insights into understanding the eating behaviours of food models and may have implications for policymakers in developing interventions to promote healthier lifestyles.