A Hybrid Computational Scheme for Solving Local Fractional Partial Differential Equations

A new type of methodology termed the local fractional natural homotopy perturbation method (LFNHPM) with the local fractional derivative operator (LFDO) was implemented in this study. The hybrid methodology combines the natural transform method (NTM) with the homotopy perturbation method (HPM).To validate and illustrate the efficacy of the current method, two challenges are solved. The results obtained using the LFNHPM show excellent agreement with the LFVIM and LFRDTM, demonstrating that the LFNHPM is an effective approach for obtaining the approximate and closed-form solutions of fractional models. We established that our approach for fractional models is accurate and straightforward and researcher can use this approach to solve various problems.