Subordination and superordination for certain analytic functions containing fractional integral

The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a relation between univalent solutions for fractional differential equation.

Bibliographic Details
Main Authors: Shaher Momani, Maslina Darus, Rabha W. Ibrahim
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2009-11-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v04/p09.pdf
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spelling doaj-ca2b444e747b482c8091bfc48255f4112020-11-24T23:36:45ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982009-11-014 (2009)111117Subordination and superordination for certain analytic functions containing fractional integralShaher MomaniMaslina DarusRabha W. IbrahimThe purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a relation between univalent solutions for fractional differential equation.http://www.utgjiu.ro/math/sma/v04/p09.pdfFractional calculusUnivalent solutionSubordinationSuperordination.
collection DOAJ
language English
format Article
sources DOAJ
author Shaher Momani
Maslina Darus
Rabha W. Ibrahim
spellingShingle Shaher Momani
Maslina Darus
Rabha W. Ibrahim
Subordination and superordination for certain analytic functions containing fractional integral
Surveys in Mathematics and its Applications
Fractional calculus
Univalent solution
Subordination
Superordination.
author_facet Shaher Momani
Maslina Darus
Rabha W. Ibrahim
author_sort Shaher Momani
title Subordination and superordination for certain analytic functions containing fractional integral
title_short Subordination and superordination for certain analytic functions containing fractional integral
title_full Subordination and superordination for certain analytic functions containing fractional integral
title_fullStr Subordination and superordination for certain analytic functions containing fractional integral
title_full_unstemmed Subordination and superordination for certain analytic functions containing fractional integral
title_sort subordination and superordination for certain analytic functions containing fractional integral
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2009-11-01
description The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a relation between univalent solutions for fractional differential equation.
topic Fractional calculus
Univalent solution
Subordination
Superordination.
url http://www.utgjiu.ro/math/sma/v04/p09.pdf
work_keys_str_mv AT shahermomani subordinationandsuperordinationforcertainanalyticfunctionscontainingfractionalintegral
AT maslinadarus subordinationandsuperordinationforcertainanalyticfunctionscontainingfractionalintegral
AT rabhawibrahim subordinationandsuperordinationforcertainanalyticfunctionscontainingfractionalintegral
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