A novel scheme for solving Caputo time-fractional nonlinear equations: theory and application

The current work contributes to find a supportive analytical solution of Caputo time-fractional nonlinear equations of the form We proposed a modified version of the generalized Taylor power series method to extract a reliable approximate solution of this problem. Theorems regarding the convergence of the obtained solution are provided. The method is tested on two models of the proposed equation, namely the Caputo time-fractional Gardner and Kawahara equations. Finally, both graphical explanations and tabular analysis are performed to study the accuracy of our suggested scheme, and to study the effects of on the behavior of the obtained solution.