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Abstract

A new family of the local fractional PDEs is investigated in this article. The linear, quasilinear, 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.

Keywords

local fractional PDE parabolic PDE hyperbolic PDE elliptic PDE local fractional derivative

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A New Family of the Local Fractional PDEs

Abstract

Keywords

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