THE FRACTAL MODIFICATION OF THE ROSENAU–BURGERS EQUATION AND ITS FRACTAL VARIATIONAL PRINCIPLE

Peng Xu, Fu-Tang Long, Chun Shan, Geng Li, Feng Shi and Kang-Jia Wang
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Peng Xu: School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China
Fu-Tang Long: School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China
Chun Shan: School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China
Geng Li: ��School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China
Feng Shi: ��School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China
Kang-Jia Wang: ��School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo 454003, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 06, 1-6

Abstract: A new fractal Rosenau–Burgers equation with He’s fractal derivative is proposed in this work. Exerting the semi-inverse method, two different kinds of the generalized fractal variational principles (GFVPs) of the fractal Rosenau–Burgers equation are constructed. The GFVPs extracted in this paper are expected to bring some new inspiration for the study and application of the variational method in the fractal space.

Keywords: Semi-inverse Method; Fractal Rosenau–Burgers Equation; He’s Fractal Derivative; Variational Principle (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24501214

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