 The study develops a mathematical model using the atom-gonnably anufractional derivative in caputo sense to investigate the transmission of tungiasis, taking into account human host-sand flea interactions and calculating the basic reproduction parameter dollar backslash mathcal, r, underscore zero dollar. A novel numerical scheme is proposed for encapsulating non-local and memory-dependent aspects of the system. The model's solution existence and uniqueness are proven and stability of steady states is established. Numerical simulations are conducted to evaluate the effectiveness of interventions like sanitation campaigns and treatment and to investigate the impact of various management techniques on tungiasis prevalence. The study provides quantitative tools for decision-making and public health treatments and enhances our understanding of tungiasis dynamics. This article was authored by Norlyana Norhishamsha, Rashid Jain, Hassan Ahmad, and others. We are article.tv, links in the description below.