Open AccessFractional heat equation optimized by a chaotic function
Author(s) -
Rabha W. Ibrahim,
Mayada T. Wazi,
Dumitru Băleanu,
Nadia M. G. Al-Saidi
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2173i
Subject(s) - operator (biology) , chaotic , heat kernel , differential operator , kernel (algebra) , mathematical analysis , function (biology) , heat equation , unit disk , space (punctuation) , differential equation , mathematics , extension (predicate logic) , computer science , pure mathematics , biochemistry , chemistry , repressor , artificial intelligence , evolutionary biology , biology , transcription factor , gene , programming language , operating system
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.