<p>In this work, the dynamical behavior of the cholera epidemic model is examined by using a fractal fractional technique with an exponential decay kernel with treatment in society. System analysis with results from the theory of fixed points is carried out both qualitatively and quantitatively. The existence and biological viability of the system are verified by analyzing the global derivative, linear growth, and Lipschitz criteria, ensuring that the model remains biologically plausible and consistent with real-world ecological dynamics. Additionally, the unique solution’s positivity and boundedness are discussed. Using wave analysis to construct the first and second derivatives for the Lyapunov function based on the equilibrium point and reproductive number, the proposed model’s global stability is built. A sensitivity analysis is carried out to determine how various parameters affect the fractional order model. Numerical simulations are derived using a two-step Lagrange polynomial technique with an insight into the exponential decay kernel with a fractional operator. Results validate theoretical and experimental findings by employing local as well as non-singular kernels at various fractional order values and fractal dimensions to show the strong memory effect. The model’s analytical properties are determined, and simulations illustrate potential methods for lowering the disease’s endemic levels in the community, which would improve human health.</p>