On quantum hybrid fractional conformable differential and integral operators in a complex domain

被引：30
作者：
Ibrahim, Rabha W. [1 ,2 ]
Baleanu, Dumitru [3 ,4 ,5 ]
机构：
[1] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] Inst Space Sci, Bucharest 76900, Romania
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 01期
关键词：
Conformable calculus; Differential operator; Univalent function; Analytic function; Subordination and superordination; Unit disk; Fractional calculus; Quantum calculus; 30C55; 30C45; STARLIKE;
D O I：
10.1007/s13398-020-00982-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：13
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