Numerical Analysis of a Crossover Lumpy Skin Disease Model Utilizing the Caputo-Katugampola Fractional Derivative

In this study, we present an approximate solution for a mathematical model of Lumpy Skin Disease across three time intervals, formulated within the framework of the Caputo-Katugampola fractional derivative (CKFD). The given technique is based on the [Formula: see text]-Khalouta decomposition method ([Formula: see text]-KDM), which combines the [Formula: see text]-Khalouta transformation with a decomposition technique. A comprehensive analysis is conducted, including the convergence and the error estimation of the proposed scheme. The residual error function is estimated as a key criterion for evaluating both the accuracy and efficiency of the numerical method. The approximate solutions obtained confirm that the proposed approach is straightforward, efficient, and reliable for numerical simulation of such problems. Several examples are considered to further confirm the accuracy and utility of the method.