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THERMAL SCIENCE
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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
DOI REFERENCE: https://doi.org/10.2298/TSCI2302653C
CITATION EXPORT: view in browser or download as text file
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© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence