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Non-differentiable exact solutions of the local fractional Klein-Fock-Gordon equation on cantor sets

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Based on the local fractional derivative, a new local fractional Klein-Fock-Gordon equation is derived in this paper for the first time. A simple method namely Yang?s special function method is… Click to show full abstract

Based on the local fractional derivative, a new local fractional Klein-Fock-Gordon equation is derived in this paper for the first time. A simple method namely Yang?s special function method is used to seek for the non-differentiable exact solutions. The whole calculation process strongly shows that the proposed method is simple and effective, and can be applied to investigate the non-differentiable exact solu?tions of the other local fractional PDE.

Keywords: differentiable exact; local fractional; klein fock; non differentiable; fock gordon; fractional klein

Journal Title: Thermal Science
Year Published: 2023

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