Numerical Solutions of the Conformable Time-Fractional Caudrey-Dodd-Gibbon-Sawada-Kotera Equation With Proportional Delay by Using the Novel Method

Abstract

This study employs the conformable fractional q-Shehu homotopy analysis transform approach to investigate the nonlinear conformable time-fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution. Graphical representations of the computed numerical solutions were generated using Maple software. The findings demonstrate that the proposed method provides accurate and stable results, confirming its computational efficiency.