THERMAL SCIENCE

International Scientific Journal

Shao-Wen Yao

VARIATIONAL PRINCIPLE FOR NON-LINEAR FRACTIONAL WAVE EQUATION IN A FRACTAL SPACE

ABSTRACT
The fractal derivative is adopted to describe the non-linear fractional wave equation in a fractal space. A variational principle is successfully established by the semi-inverse method. The two-scale method and He’s exp-function are used to solve the equation, and a good result is obtained.
KEYWORDS
fractal space, He’s fractal derivative, Two-scale transform method, exp-function method, variational principle
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-06-17
PAPER ACCEPTED: 2020-06-18
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301018Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE No. 2, PAGES [1243 - 1247]
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Variational principle for non-linear fractional wave equation in a fractal space

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