Work

Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional q-Calculus Operator

Year: 2024

Type: article

Abstract: In the present investigation, we present certain subordination and superordination results for the q-integral operator of a fractional order associated with analytic functions in the open unit disk U. Using this q-integral operator, we obtain sandwich-type results. Furthermore, we employ the existence of univalent solutions to a q-differential equation connected with a fractional q-integral operator of fractional order. We use these results to demonstrate the significance of our findings for particular functions. We also derive some examples and corollaries that are pertinent to our results.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9010004

Authors: Sudhansu Palei, Madan Mohan Soren, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ

Institutions: Berhampur University, 1 Decembrie 1918 University, Technical University of Cluj-Napoca

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

OpenAlex ID: W4405782789

FWCI: 2.01

Cites: 26

Cited by: 3

Related to: 10