Some Subordination Results for Atangana-Baleanu Fractional Integral Operator Involving Bessel Functions

Adriana Cătaş,Alina Alb Lupaş

doi:10.3390/sym14020358

Abstract

We propose, in the present paper, to derive some differential subordination results. The work is developed in the case of analytic functions defined on the open unit disc. The results will be formulated by making use of an Atangana–Baleanu fractional integral operator and Bessel functions. For the newly obtained theorems, certain interesting consequences are also considered. Univalent function selections with specific symmetry properties were involved.

Highlights

Introduction and Preliminary ResultsLately, many research studies have paid special attention to the subject of fractional calculus operators
The current study contributes to the field of fractional operators by demonstrating certain differential subordination results for a newly proposed analytic function involving the first form of generalized Bessel functions
We have investigated the research of a particular integral operator related to the Riemann–Liouville operator and Atangana–Baleanu integral operator

Summary

Introduction

Introduction and Preliminary ResultsLately, many research studies have paid special attention to the subject of fractional calculus operators. In [7], interesting differential subordination and superordination results were obtained using integral operators. By means of certain fractional integral operators, in papers [8,9], some inequalities and properties concerning a subclass of analytic functions are derived.

Results

Conclusion