Third-order differential subordination and superordination involving a fractional operator
The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differen...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2015-0068 |
| _version_ | 1818597819124023296 |
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| author | Ibrahim Rabha W. Ahmad Muhammad Zaini Al-Janaby Hiba F. |
| author_facet | Ibrahim Rabha W. Ahmad Muhammad Zaini Al-Janaby Hiba F. |
| author_sort | Ibrahim Rabha W. |
| collection | DOAJ |
| description | The third-order differential subordination and the corresponding differential superordination problems for
a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in
this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property
employs the subordination and superordination methodology. Some classes of admissible functions are determined,
and these significant classes are exploited to obtain fractional differential subordination and superordination results.
The new third-order differential sandwich-type outcomes are investigated in subsequent research. |
| first_indexed | 2024-12-16T11:53:51Z |
| format | Article |
| id | doaj.art-5b097fb5f48043cab3f67b587c601b47 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T11:53:51Z |
| publishDate | 2015-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-5b097fb5f48043cab3f67b587c601b472022-12-21T22:32:37ZengDe GruyterOpen Mathematics2391-54552015-10-0113110.1515/math-2015-0068math-2015-0068Third-order differential subordination and superordination involving a fractional operatorIbrahim Rabha W.0Ahmad Muhammad Zaini1Al-Janaby Hiba F.2Faculty of Computer Science and Information Technology, University Malaya, 50603 Kuala Lumpur, MalaysiaInstitute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia, E-mail: mzaini@unimap.edu.myInstitute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Malaysia, E-mail: mzaini@unimap.edu.myThe third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property employs the subordination and superordination methodology. Some classes of admissible functions are determined, and these significant classes are exploited to obtain fractional differential subordination and superordination results. The new third-order differential sandwich-type outcomes are investigated in subsequent research.https://doi.org/10.1515/math-2015-0068fractional calculus fractional integral operator subordination superordination unit disk analytic function |
| spellingShingle | Ibrahim Rabha W. Ahmad Muhammad Zaini Al-Janaby Hiba F. Third-order differential subordination and superordination involving a fractional operator Open Mathematics fractional calculus fractional integral operator subordination superordination unit disk analytic function |
| title | Third-order differential subordination
and superordination involving
a fractional operator |
| title_full | Third-order differential subordination
and superordination involving
a fractional operator |
| title_fullStr | Third-order differential subordination
and superordination involving
a fractional operator |
| title_full_unstemmed | Third-order differential subordination
and superordination involving
a fractional operator |
| title_short | Third-order differential subordination
and superordination involving
a fractional operator |
| title_sort | third order differential subordination and superordination involving a fractional operator |
| topic | fractional calculus fractional integral operator subordination superordination unit disk analytic function |
| url | https://doi.org/10.1515/math-2015-0068 |
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