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Fractal calculus and fractional calculus have seen remarkable development due to their exact description of non-differentiable problems. There are many definitions of the fractional differential derivative in open literature, for example, the Caputo derivative, the Riemann-Liouville derivative, the Grunwald-Letnikov derivative, He’s fractional derivative, and fractal derivative [1-10]. This paper will adopt the local fractional derivative [11, 12], which could describe the non-differential functions defined on Cantor sets.

The fractional residual method for solving the local fractional differential equations