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Citation - WoS: 1
Citation - Scopus: 1
Fractional Heat Equation Optimized by a Chaotic Function
(Vinca inst Nuclear Sci, 2021) Wazi, Mayada T.; Baleanu, Dumitru; Al-Saidi, Nadia; Ibrahim, Rabha W.
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.
Citation - WoS: 2
Citation - Scopus: 3
Conformable Differential Operators for Meromorphically Multivalent Functions
(de Gruyter Poland Sp Z O O, 2021) Baleanu, Dumitru; Jahangiri, Jay M.; Ibrahim, Rabha W.
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution properties for this class of conformable operators.

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