An Application of the Principle of Differential Subordination to Analytic Functions Involving Atangana–Baleanu Fractional Integral of Bessel Functions

Alina Alb Lupaş,Adriana Cătaş

doi:10.3390/sym13060971

Abstract

The aim of this paper is to establish certain subordination results for analytic functions involving Atangana–Baleanu fractional integral of Bessel functions. Studying subordination properties by using various types of operators is a technique that is widely used.

Highlights

Introduction and Preliminary ResultsCitation: Alb Lupaş, A.; Cătaş, A.An Application of the Principle of Differential Subordination to AnalyticFunctions Involving Atangana–Baleanu Fractional Integral of BesselFunctions
In the context of fractional calculus study, an important issue is to generalize the concept of nth derivatives and nth integrals
Inspired by the study from [8], we present here a new fractional integral operator connecting two other important operators, namely the Atangana–Baleanu integral operator and Riemann–Liouville

Summary

Introduction

Introduction and Preliminary ResultsAn Application of the Principle of Differential Subordination to AnalyticFunctions Involving Atangana–Baleanu Fractional Integral of BesselFunctions. In the field of fractional calculus, many definitions of fractional integral operators have been derived. These operators have been proven to be useful in many areas of applicability by modeling various phenomena and processes. In the context of fractional calculus study, an important issue is to generalize the concept of nth derivatives and nth integrals. Conceived for natural numbers n, the study was extended to the concept of λnt derivatives and λnt integrals. These are often considered both as differintegrals for more general types of λ. The most well-known definition used, the Riemann–Liouville, denoted RL, is as follows: Academic Editor: Aviv Gibali

Objectives

Results

Conclusion