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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
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 4, PAGES [2575 - 2580]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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