THERMAL SCIENCE

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Xiao-Jun Yang

ON TRAVELING-WAVE SOLUTIONS FOR THE SCALING-LAW TELEGRAPH EQUATIONS

ABSTRACT
The aim of the study is to address the scaling-law telegraph equations with the Mandelbrot-scaling-law derivative. The traveling-wave solutions with use of the Kohlrausch-Williams-Watts function are considered in detail. The works are proposed to describe the physical models in complex topology.
KEYWORDS
scaling-law telegraph equation, Leibniz derivative, Mandelbrot-scaling-law derivative, traveling-wave solution, Kohlrausch-Williams-Watts function
PAPER SUBMITTED: 2020-05-01
PAPER REVISED: 2020-05-20
PAPER ACCEPTED: 2020-05-27
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006861Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3861 - 3868]
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On traveling-wave solutions for the scaling-law telegraph equations

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