Abstract
A useful family of fractional derivative and integral operators plays a crucial role on the study of mathematics and applied science. In this paper, we introduce an operator defined on the family of analytic functions in the open unit disk by using the generalized fractional derivative and integral operator with convolution. For this operator, we study the subordination-preserving properties and their dual problems. Differential sandwich-type results for this operator are also investigated.
Funder
National Research Foundation of Korea
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference33 articles.
1. Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics;Miller,2000
2. Subordinants of differential superordinations
3. A new class of analytic p-valent functions with negative coefficients and fractional calculus operators;Goyal;Tamsui Oxf. J. Math. Sci.,2004
4. Majorization problem for certain class of p-valently analytic function defined by generalized fractional differintegral operator
5. A class of distortion theorems involving certain operators of fractional calculus
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献