Fractional heat equation optimized by a chaotic function | Zendy

Rabha W. Ibrahim | Zendy; Mayada T. Wazi | Zendy; Dumitru Băleanu | Zendy; Nadia M. G. Al-Saidi | Zendy

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Fractional 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

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.

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