A class of symmetric fractional differential operator formed by special function

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.

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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.

Item Type: Article
Uncontrolled Keywords: Subclasses.
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Computer Science & Information Technology
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 13 Sep 2023 06:57
Last Modified: 13 Sep 2023 06:57
URI: http://eprints.um.edu.my/id/eprint/41204

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