Abstract
Under investigation in this paper are two local fractional partial differential systems, one is the homogeneous linear partial differential system with initial values, and the other is the inhomogeneous non-linear partial differential system with initial and boundary values. To solve these two local fractional systems, we employ the local fractional variational iteration method and obtain exact solutions. It is shown that the method provides an effective mathematical tool for solving linear and non-linear local fractional partial differential systems with initial and boundary values.
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