On a Combination of Fractional Differential and Integral Operators Associated With a Class of Normalized Functions
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
Abstract
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 employ the complex CFO to modify a class of Briot-Bouquet differential equations in a complex region. As a consequence, the upper solution is illustrated by using the concept of subordination inequality.
Description
Keywords
Fractional Calculus, Fractional Differential Operator, Univalent Function, Analytic Function, Subordination And Superordination, Open Unit Disk, Briot-Bouquet Differential Equation, Artificial intelligence, Class (philosophy), Subordination (linguistics), Analytic Functions, univalent function, Biochemistry, Gene, analytic function, Engineering, Ecology, Applied Mathematics, Physics, Geometric Function Theory and Complex Analysis, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Regular polygon, Chemistry, Mechanics of Materials, Physical Sciences, Thermodynamics, Differential operator, Type (biology), Geometry, fractional calculus, Operator (biology), Mathematical analysis, fractional differential operator, Mechanics and Fracture of Nanomaterials and Composites, Convex function, QA1-939, FOS: Mathematics, Biology, open unit disk, Domain (mathematical analysis), Pure mathematics, Linguistics, Applied mathematics, briot-bouquet differential equation, Computer science, Philosophy, FOS: Biological sciences, FOS: Languages and literature, Repressor, subordination and superordination, Geometry and Topology, Differential (mechanical device), Transcription factor, Mathematics, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Briot-Bouquet differential equation, Coefficient problems for univalent and multivalent functions of one complex variable
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On a combination of fractional differential and integral operators associated with a class of normalized functions", AIMS Mathematics, Vol. 6, No. 4, pp. 4211-4226.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
8
Source
AIMS Mathematics
Volume
6
Issue
4
Start Page
4211
End Page
4226
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Citations
Scopus : 10
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Mendeley Readers : 2
SCOPUS™ Citations
10
checked on Feb 21, 2026
Web of Science™ Citations
7
checked on Feb 21, 2026
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