Abstract
In this study, the fractal-fractional Caputo and Caputo-Fabrizio derivatives are used to formulate the fractal-fractional model of multi-pantograph delay differential equations with variable coefficients. The wavelet method is constructed to provide a numerical solution by using fractional-order Jacobi wavelets. This methodology relies on the operational matrix for fractal-fractional integration of fractional order Jacobi wavelets and the collocation method. We defined pseudo code and stability analysis of the proposed approach for the given model. The error analysis and comparison of the numerical results are also shown in the tables and graphs for the three illustrative examples. In the proposed methods, the data are obtained on different values of fractal \((\nu)\) and fractional \((\mu,\phi)\) parameters and it is noteworthy to point out that the classical case is recovered for \(\mu=1\) and \(\nu=1\).