THERMAL SCIENCE

International Scientific Journal

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Rabha W. Ibrahim

,

Hamid A. Jalab

ON TWO EXACT SOLUTIONS OF TIME FRACTIONAL HEAT EQUATIONS USING DIFFERENT TRANSFORMS

ABSTRACT
Two solutions of time fractional differential equations are illustrated. The first one converges to functional space in term of Weyl transform in L2(R), while the second solution approaches to the Fox function with respect to time, by using the Fourier and Laplace-Mellin transforms. The fractional calculus is taken in the sense of the Riemann-Liouville fractional differential operator.
KEYWORDS
fractional calculus, fractional diffusion equation, fractional heat equation
PAPER SUBMITTED: 2014-10-10
PAPER REVISED: 2015-01-21
PAPER ACCEPTED: 2015-02-02
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S43I
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S43 - S49]
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On two exact solutions of time fractional heat equations using different transforms

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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