A class of symmetric fractional differential operator formed by special function

In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina's function is built. The generalized operator is then used to create a formula for analytic functions of type normalized. We use the ideas of subordination and superordinat...

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主要な著者: Aldawish, Ibtisam, Ibrahim, Rabha W., Obaiys, Suzan Jabbar
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出版事項: Hindawi Ltd 2022
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オンライン・アクセス:http://eprints.um.edu.my/41204/
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spelling my.um.eprints.412042023-09-13T06:57:28Z http://eprints.um.edu.my/41204/ A class of symmetric fractional differential operator formed by special function Aldawish, Ibtisam Ibrahim, Rabha W. Obaiys, Suzan Jabbar QA Mathematics QA75 Electronic computers. Computer science In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina's function is built. The generalized operator is then used to create a formula for analytic functions of type normalized. We use the ideas of subordination and superordination to show a collection of inequalities using the suggested differential operator. The new Raina's operator is also used to the generalized kinematic solutions (GKS). Using the concepts of subordination and superordination, we provide analytic solutions for GKS. As a consequence, a certain hypergeometric function provides the answer. A fractional coefficient differential operator is also created. The geometric and analytic properties of the object are being addressed. The symmetric differential operator in a complex domain is shown to be a generalized fractional differential operator. Finally, we explore the characteristics of the Raina's symmetric differential operator. Hindawi Ltd 2022-08 Article PeerReviewed Aldawish, Ibtisam and Ibrahim, Rabha W. and Obaiys, Suzan Jabbar (2022) A class of symmetric fractional differential operator formed by special function. Journal of Mathematics, 2022. ISSN 2314-4629, DOI https://doi.org/10.1155/2022/8339837 <https://doi.org/10.1155/2022/8339837>. 10.1155/2022/8339837
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
QA75 Electronic computers. Computer science
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Aldawish, Ibtisam
Ibrahim, Rabha W.
Obaiys, Suzan Jabbar
A class of symmetric fractional differential operator formed by special function
description In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina's function is built. The generalized operator is then used to create a formula for analytic functions of type normalized. We use the ideas of subordination and superordination to show a collection of inequalities using the suggested differential operator. The new Raina's operator is also used to the generalized kinematic solutions (GKS). Using the concepts of subordination and superordination, we provide analytic solutions for GKS. As a consequence, a certain hypergeometric function provides the answer. A fractional coefficient differential operator is also created. The geometric and analytic properties of the object are being addressed. The symmetric differential operator in a complex domain is shown to be a generalized fractional differential operator. Finally, we explore the characteristics of the Raina's symmetric differential operator.
format Article
author Aldawish, Ibtisam
Ibrahim, Rabha W.
Obaiys, Suzan Jabbar
author_facet Aldawish, Ibtisam
Ibrahim, Rabha W.
Obaiys, Suzan Jabbar
author_sort Aldawish, Ibtisam
title A class of symmetric fractional differential operator formed by special function
title_short A class of symmetric fractional differential operator formed by special function
title_full A class of symmetric fractional differential operator formed by special function
title_fullStr A class of symmetric fractional differential operator formed by special function
title_full_unstemmed A class of symmetric fractional differential operator formed by special function
title_sort class of symmetric fractional differential operator formed by special function
publisher Hindawi Ltd
publishDate 2022
url http://eprints.um.edu.my/41204/
_version_ 1778161640990048256
score 13.251818