<p>In this paper, this research has extended and analyzed a classical order cocoa black pod disease model using fractal-fractional operator. Globally, black pod disease has become a significant threat to cocoa production. There is a mathematical model presented for the spread of cocoa black pod disease. Multiple variables influence the disease’s spread in the model. This research has examined the basic reproduction number and also performed a sensitivity analysis. Also, this study have been discussed the boundedness and positivity of the fractional model. This study have investigated the uniqueness and existence of solutions used by the fixed point hypothesis. The Adams-Bashforth techniques have been used to perform numerical simulations. Numerical simulations have confirmed the results of this model, including long-term dependence, memory effect, and fractal properties. Simulation results have been calculated using the MATLAB software. An epidemiological perspective with long-term dependencies is analyzed using the results of the research. Fractal-fractional operators used in cocoa pod disease dynamics provide robustness by incorporating heterogeneity and memory.</p>