THERMAL SCIENCE

International Scientific Journal

Rabha W. Ibrahim

,

Mayada T. Wazi

,

Dumitru Baleanu

,

Nadia Al-Saidi

FRACTIONAL HEAT EQUATION OPTIMIZED BY A CHAOTIC FUNCTION

ABSTRACT
In this effort, we propose a new fractional differential operator in the open unit disk. The operator is an extension of the Atangana-Baleanu differential operator without singular kernel. We suggest it for a normalized class of analytic functions in the open unit disk. By employing the extended operator, we study the time-2-D space heat equation and optimizing its solution by a chaotic function.
KEYWORDS
fractional calculus, thermal, heat equation, subordination, chaotic, univalent function, analytic function
PAPER SUBMITTED: 2021-02-02
PAPER REVISED: 2021-02-15
PAPER ACCEPTED: 2021-02-20
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2173I
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [173 - 178]
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Fractional heat equation optimized by a chaotic function

© 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