In this study, we examine the Atangana Baleanu Caputo fractional order for the transmission dynamics of the Cotton Leaf Curl Virus disease. The model took into account both cotton plants and vector populations. The existence and uniqueness, positivity and boundedness of the solution to the model, as well as other fundamental concepts, were examined. Additionally, the Ulam-Hyres condition stability of the suggested model was demonstrated using functional techniques. Using the Adams-Bashforth method, the numerical solution for our suggested model was computed. The numerical result shows that the disease spreads more slowly as the fractional order decreases from 1.00 to 0.72.