A Class of Symmetric Fractional Differential Operator Formed by Special Functions
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 t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8339837 |
| _version_ | 1826998675864289280 |
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| author | Ibtisam Aldawish Rabha W. Ibrahim Suzan J. Obaiys |
| author_facet | Ibtisam Aldawish Rabha W. Ibrahim Suzan J. Obaiys |
| author_sort | Ibtisam Aldawish |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T22:38:15Z |
| format | Article |
| id | doaj.art-04cf52da10bb43fe9dd33c8e240ef4cf |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-02-18T10:19:04Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-04cf52da10bb43fe9dd33c8e240ef4cf2024-11-02T05:31:39ZengHindawi LimitedJournal of Mathematics2314-47852022-01-01202210.1155/2022/8339837A Class of Symmetric Fractional Differential Operator Formed by Special FunctionsIbtisam Aldawish0Rabha W. Ibrahim1Suzan J. Obaiys2Department of Mathematics and StatisticsThe Institute of Electrical and Electronics Engineers(IEEE): 94086547Department of Computer Systems and TechnologyIn 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.http://dx.doi.org/10.1155/2022/8339837 |
| spellingShingle | Ibtisam Aldawish Rabha W. Ibrahim Suzan J. Obaiys A Class of Symmetric Fractional Differential Operator Formed by Special Functions Journal of Mathematics |
| title | A Class of Symmetric Fractional Differential Operator Formed by Special Functions |
| title_full | A Class of Symmetric Fractional Differential Operator Formed by Special Functions |
| title_fullStr | A Class of Symmetric Fractional Differential Operator Formed by Special Functions |
| title_full_unstemmed | A Class of Symmetric Fractional Differential Operator Formed by Special Functions |
| title_short | A Class of Symmetric Fractional Differential Operator Formed by Special Functions |
| title_sort | class of symmetric fractional differential operator formed by special functions |
| url | http://dx.doi.org/10.1155/2022/8339837 |
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