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EXACT SOLUTIONS OF TIME-FRACTIONAL HEAT CONDUCTION EQUATION BY THE FRACTIONAL COMPLEX TRANSFORM

ABSTRACT
The Fractional Complex Transform is extended to solve exactly time-fractional differential equations with the modified Riemann-Liouville derivative. How to incorporate suitable boundary/initial conditions is also discussed.
KEYWORDS
PAPER SUBMITTED: 2011-05-03
PAPER REVISED: 2011-05-20
PAPER ACCEPTED: 2011-07-11
DOI REFERENCE: https://doi.org/10.2298/TSCI110503069L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE 2, PAGES [335 - 338]
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© 2017 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