On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator
The purpose of this present effort is to define a new fractional differential operator Tzβ,τ,γ, involving Srivastava–Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75123/ http://psasir.upm.edu.my/id/eprint/75123/1/On%20boundedness%20and%20compactness%20.pdf |
| _version_ | 1848857610097262592 |
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| author | Abdulnaby, Zainab E. W. Ibrahim, Rabha Kilicman, Adem |
| author_facet | Abdulnaby, Zainab E. W. Ibrahim, Rabha Kilicman, Adem |
| author_sort | Abdulnaby, Zainab E. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The purpose of this present effort is to define a new fractional differential operator Tzβ,τ,γ, involving Srivastava–Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness and compactness of analytic and univalent functions on weighted μ-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function. |
| first_indexed | 2025-11-15T12:00:17Z |
| format | Article |
| id | upm-75123 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:17Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-751232021-09-08T09:28:38Z http://psasir.upm.edu.my/id/eprint/75123/ On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator Abdulnaby, Zainab E. W. Ibrahim, Rabha Kilicman, Adem The purpose of this present effort is to define a new fractional differential operator Tzβ,τ,γ, involving Srivastava–Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness and compactness of analytic and univalent functions on weighted μ-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function. Elsevier 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75123/1/On%20boundedness%20and%20compactness%20.pdf Abdulnaby, Zainab E. and W. Ibrahim, Rabha and Kilicman, Adem (2018) On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator. Journal of King Saud University - Science, 30 (2). 153 - 157. ISSN 1018-3647; ESSN: 2213-686X https://www.sciencedirect.com/science/article/pii/S1018364716301598 10.1016/j.jksus.2016.09.010 |
| spellingShingle | Abdulnaby, Zainab E. W. Ibrahim, Rabha Kilicman, Adem On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title | On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title_full | On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title_fullStr | On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title_full_unstemmed | On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title_short | On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator |
| title_sort | on boundedness and compactness of a generalized srivastava-owa fractional derivative operator |
| url | http://psasir.upm.edu.my/id/eprint/75123/ http://psasir.upm.edu.my/id/eprint/75123/ http://psasir.upm.edu.my/id/eprint/75123/ http://psasir.upm.edu.my/id/eprint/75123/1/On%20boundedness%20and%20compactness%20.pdf |