Abstract
•Local fractional nonlinear PDEs in mathematical physics are first considered.•Local fractional VIM is employed.•Analytical solutions with non-differentiable terms are presented.
In this paper, an efficient analytical technique is developed to investigate and derive the non-differentiable solutions of nonlinear PDEs with local fractional derivatives. Two illustrative examples for the transport and Fokker–Planck equations are given in order to demonstrate the efficiency and reliability of the methodology presented here.