THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Ping Cui

,

Yi-Ying Feng

,

Jian-Gen Liu

,

Lu-Lu Geng

A NEW GENERAL FRACTIONAL DERIVATIVE GOLDSTEIN-KAC-TYPE TELEGRAPH EQUATION

ABSTRACT
In this paper, we consider the Riemann-Liouville-type general fractional derivatives of the non-singular kernel of the one-parametric Lorenzo-Hartley function. A new general fractional-order-derivative Goldstein-Kac-type telegraph equation is proposed for the first time. The analytical solution of the considered model with the graphs is obtained with the aid of the Laplace transform. The general fractional-order-derivative formula is as a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.
KEYWORDS
general fractional-order derivative, Lorenzo-Hartley function, telegraph equation, laplace transform
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-05-11
PAPER ACCEPTED: 2020-05-27
PUBLISHED ONLINE: 2020-11-27
DOI REFERENCE: https://doi.org/10.2298/TSCI2006893C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 6, PAGES [3893 - 3898]
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A new general fractional derivative Goldstein-Kac-type telegraph equation

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