Yang, Xiao-JunMachado, J. A. TenreiroNieto, Juan J.2017-01-2520161875-8681http://hdl.handle.net/10400.22/9404A new family of the local fractional PDEs is investigated in this article. The linear, quasi-linear, semilinear and nonlinear local fractional PDEs are presented. Furthermore, three types of the local fractional PDEs are discussed, namely, parabolic, hyperbolic and elliptic. Several examples illustrate the corresponding models in nonlinear mathematical physics.engLocal fractional PDEParabolic PDEHyperbolic PDEElliptic PDELocal fractional derivativejournal article10.3233/FI-2016-1350