Symmetrically Conformable Fractional Differential Operators by Computational Numerical Modeling with Special Function
Document Type
Article
Publication Date
1-1-2023
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
Divisions
fsktm
Funders
National Defense University of Malaysia (UPNM)
Publication Title
Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society
Volume
31
Issue
10
Publisher
World Scientific Publishing
Publisher Location
5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE