Open AccessThe concept of fractional differential subordination
Author(s) -
Rabha W. Ibrahim
Publication year - 2013
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.44.2013.1007
Subject(s) - subordination (linguistics) , mathematics , convexity , unit disk , differential (mechanical device) , differential operator , analytic function , order (exchange) , pure mathematics , operator (biology) , class (philosophy) , fractional calculus , mathematical analysis , computer science , philosophy , linguistics , biochemistry , chemistry , finance , repressor , artificial intelligence , transcription factor , financial economics , engineering , economics , gene , aerospace engineering
In this work, we consider a definition for the concept of fractional differential subordination in sense of Srivastava-Owa fractional operators. By employing some types of admissible functions, involving differential operator of fractional order, we illustrate geometric properties such as starlikeness and convexity for a class of analytic functions in the unit disk. Moreover, applications are posed in the sequel