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.
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University Constantin Brancusi of Targu-Jiu
2009-11-01
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Series: | Surveys in Mathematics and its Applications |
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Online Access: | http://www.utgjiu.ro/math/sma/v04/p09.pdf |
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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 |
_version_ |
1725521809081630720 |