A non-differentiable solution for the local fractional telegraph equation

Jie Li; Ce Zhang; Weixing Liu; Yuzhu Zhang; Aimin Yang; Ling Zhang

doi:10.2298/TSCI17S1225L

A non-differentiable solution for the local fractional telegraph equation

Jie Li
, Ce Zhang^*
, Weixing Liu
, Yuzhu Zhang
, Aimin Yang
, Ling Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	S225-S231
Journal	Thermal Science
Volume	21
DOIs	https://doi.org/10.2298/TSCI17S1225L
State	Published - 2017
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Analytical solution
Local fractional Laplace series expansion method
Local fractional derivative
Telegraph equation
Water wave

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10.2298/TSCI17S1225L

Cite this

@article{e7fb1dd59980420fb8b1cb09ab500560,

title = "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 = "Analytical solution, Local fractional Laplace series expansion method, Local fractional derivative, Telegraph equation, Water wave",

author = "Jie Li and Ce Zhang and Weixing Liu and Yuzhu Zhang and Aimin Yang and Ling Zhang",

note = "Publisher Copyright: {\textcopyright} 2017 Society of Thermal Engineers of Serbia.",

year = "2017",

doi = "10.2298/TSCI17S1225L",

language = "英语",

volume = "21",

pages = "S225--S231",

journal = "Thermal Science",

issn = "0354-9836",

publisher = "Serbian Society of Heat Transfer Engineers",

}

TY - JOUR

T1 - A non-differentiable solution for the local fractional telegraph equation

AU - Li, Jie

AU - Zhang, Ce

AU - Liu, Weixing

AU - Zhang, Yuzhu

AU - Yang, Aimin

AU - Zhang, Ling

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Analytical solution

KW - Local fractional Laplace series expansion method

KW - Local fractional derivative

KW - Telegraph equation

KW - Water wave

UR - https://www.scopus.com/pages/publications/85036510495

U2 - 10.2298/TSCI17S1225L

DO - 10.2298/TSCI17S1225L

M3 - 文章

AN - SCOPUS:85036510495

SN - 0354-9836

VL - 21

SP - S225-S231

JO - Thermal Science

JF - Thermal Science

ER -

A non-differentiable solution for the local fractional telegraph equation

Abstract

UN SDGs

Keywords

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