SYMMETRICALLY CONFORMABLE FRACTIONAL DIFFERENTIAL OPERATORS BY COMPUTATIONAL NUMERICAL MODELING WITH SPECIAL FUNCTION

Rabha W. Ibrahim, Suzan J. Obaiys (), Yelä°z Karaca and Nur Amalina Binti Jamaludin
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Rabha W. Ibrahim: Department of Computer Science and Mathematics, Lebanese American University, 13-5053, Beirut, Lebanon†Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC
Suzan J. Obaiys: ��Department of Computer System & Technology, Faculty of Computer Science and Information Technology, University of Malaya, Malaysia
Yelä°z Karaca: �University of Massachusetts Chan Medical School (UMASS), 55 Lake Avenue North, Worcester, MA 01655, USA¶Massachusetts Institute of Technology (MIT), 77 Massachusetts Avenue, Cambridge, MA 02139, USA
Nur Amalina Binti Jamaludin: ��Centre Foundation Studies, UPNM (National Defense University of Malaysia), 7000 SG BESI CAMP, Kuala Lumpur, Malaysia

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-14

Abstract: The k-convoluted operators related to the k-Whittaker function, confluent hypergeometric function of the first kind, have been developed using the k-symbol calculus in which this sort of calculus presents a generalization of the gamma function. K-symbol fractional calculus is employed to generalize and extend many differential and integral operators of fractional calculus. Based on this premise, a new geometric formula for normalized functions in the symmetric domain known as the open unit disk using the conformable fractional differential operator has been presented in this study. Thus, our technique entails investigating the most well-known geometric properties of this new operator, such as the subordination features and coefficient bounds so that the theory of differential subordination can be adjusted accordingly. By means of this technique, numerical results have been investigated for the proposed method. To this end, a few prominent corollaries of our primary findings as standout instances have been pointed out based on the positivity of the solutions, computational and numerical analyses.

Keywords: Univalent Function; Fractional Calculus; The Open Unit Disk; Analytic Function; Subordination and Superordination; Gamma Function; Symmetric Domain; The Conformable Fractional Differential Operator; k-Fractional Whittaker Function; k-Symbol Fractional Calculus; Computational Numerical Modeling (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401576

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