The concept of fractional differential subordination | Zendy

Rabha W. Ibrahim | Zendy

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The 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

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