On a combination of fractional differential and integral operators associated with a class of normalized functions

On a combination of fractional differential and integral operators associated with a class of normalized functions

Recently, the combined fractional operator (CFO) is introduced and discussed in Baleanu et al. [1] in real domain. In this paper, we extend CFO to the complex domain and study its geometric properties in some normalized analytic functions including the starlike and convex functions. Moreover, we emp...

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Bibliographic Details
Main Authors: Rabha W. Ibrahim, Dumitru Baleanu
Format: Article
Language:English
Published: AIMS Press 2021-02-01
Series:AIMS Mathematics
Subjects:
fractional calculus
fractional differential operator
univalent function
analytic function
subordination and superordination
open unit disk
briot-bouquet differential equation
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021249?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021249?viewType=HTML

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