Ibrahim, Rabha W. and Obaiys, Suzan J. and Karaca, Yeliz and Jamaludin, Nur Amalina (2023) Symmetrically Conformable Fractional Differential Operators by Computational Numerical Modeling with Special Function. Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society, 31 (10). ISSN 0218-348X, DOI https://doi.org/10.1142/S0218348X23401576.
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Funders: | National Defense University of Malaysia (UPNM) |
| Uncontrolled 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 |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Computer Science & Information Technology |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 09 Sep 2025 01:42 |
| Last Modified: | 09 Sep 2025 01:42 |
| URI: | http://eprints.um.edu.my/id/eprint/50611 |
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