An efficient hybrid computational technique for solving nonlinear local fractional partial differential equations arising in fractal media

[摘要] In present work, nonlinear fractional partial differential equations namely transport equation and Fokker-Planck equation involving local fractional differential operators, are investigated by means of the local fractional homotopy perturbation Sumudu transform method. The proposed method is a coupling of homotopy perturbation method with local fractional Sumudu transform and is used to describe the non-differentiable problems. Numerical simulation results are projected to show the efficiency of the proposed technique.

[关键词] Local fractional Sumudu transform;Homotopy perturbation method;Approximate solution;Nonlinear partial differential equations;Local fractional derivative