On quantum hybrid fractional conformable differential and integral operators in a complex domain
No Thumbnail Available
Date
2021
Authors
Ibrahim, Rabha W.
Baleanu, Dumitru
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
Newly, the hybrid fractional differential operator (HFDO) is presented and studied in Baleanu et al. (Mathematics 8.3:360, 2020). This work deals with the extension of HFDO to the complex domain and its generalization by using the quantum calculus. The outcome of the above conclusion is a q-HFDO, which will employ to introduce some classes of normalized analytic functions containing the well-known starlike and convex classes. Moreover, we utilize the quantum calculus to formulate the q-integral operator corresponding to q-HFDO. As a result, the upper solution is exemplified by utilizing the notion of subordination inequality.
Description
Keywords
Analytic Function, Conformable Calculus, Differential Operator, Fractional Calculus, Quantum Calculus, Subordination and Superordination, Unit Disk, Univalent Function
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On quantum hybrid fractional conformable differential and integral operators in a complex domain", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 115, No. 1.
WoS Q
Scopus Q
Source
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume
115
Issue
1