THERMAL SCIENCE

International Scientific Journal

Jie Li

,

Ce Zhang

,

Weixing Liu

,

Yuzhu Zhang

,

Aimin Yang

,

Ling Zhang

A NON-DIFFERENTIABLE SOLUTION FOR THE LOCAL FRACTIONAL TELEGRAPH EQUATION

ABSTRACT
In this paper, we consider the linear telegraph equations with local fractional derivative. The local fractional Laplace series expansion method is used to handle the local fractional telegraph equation. The analytical solution with the non-differentiable graphs is discussed in detail. The proposed method is efficient and accurate.
KEYWORDS
telegraph equation, analytical solution, local fractional derivative, water wave, local fractional Laplace series expansion method
PAPER SUBMITTED: 2017-04-08
PAPER REVISED: 2017-06-08
PAPER ACCEPTED: 2017-06-23
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1225L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S225 - S231]
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A non-differentiable solution for the local fractional telegraph equation

© 2024 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