THERMAL SCIENCE

International Scientific Journal

Chun-Fu WeiORCID

LOCAL FRACTIONAL HEAT AND WAVE EQUATIONS WITH LAGUERRE TYPE DERIVATIVES

ABSTRACT
In this paper, we investigate a local fractional PDE with Laguerre type derivative. The considered equation represents a general extension of the classical heat and wave equations. The method of separation of variables is used to solve the differential equation defined in a bounded domain.
KEYWORDS
Laguerre type derivatives, the method of separation of variables, local fractional derivative
PAPER SUBMITTED: 2018-12-26
PAPER REVISED: 2019-06-29
PAPER ACCEPTED: 2019-08-08
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004575W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE No. 4, PAGES [2575 - 2580]
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Local fractional heat and wave equations with Laguerre type derivatives

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