THERMAL SCIENCE
International Scientific Journal
NON-DIFFERENTIABLE EXACT SOLUTIONS OF THE LOCAL FRACTIONAL KLEIN-FOCK-GORDON EQUATION ON CANTOR SETS
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 solutions of the other local fractional PDE.
KEYWORDS
PAPER SUBMITTED: 2022-11-22
PAPER REVISED: 2022-11-28
PAPER ACCEPTED: 2023-01-22
PUBLISHED ONLINE: 2023-05-20
THERMAL SCIENCE YEAR
2023, VOLUME
27, ISSUE
Issue 2, PAGES [1653 - 1657]
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