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Thermal Science 2021 Volume 25, Issue 3 Part B, Pages: 2227-2234
https://doi.org/10.2298/TSCI200201110Y
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Non-differentiable solutions of a family of modified Korteweg-de Vries equations within local fractional derivative

Yang Yong-Ju (School of Mathematics and Statistics, Nanyang Normal University, Nanyang, China), tomjohn1007@126.com

In this paper, a family of modified Korteweg-de Vries equations within local fractional derivative are constructed, and their non-differentiable solutions are dis-cussed by using several methods.

Keywords: modified Korteweg-de Vries equation, traveling wave solution, G(α)(ξ)/G(ξ)-expansion method