Convoluted fractional differentials of various forms utilizing the generalized Raina's function description with applications

Journal of Taibah University for Science

Dumitru Baleanu¹  Rabha W. Ibrahim² 

[1] Department of Mathematics, Cankaya University, Ankara, Turkey;The Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, USA;

关键词: Fractional calculus;    quantum calculus;    analytic function;    subordination and superordination;    univalent function;    open unit disk;   

DOI  :  10.1080/16583655.2022.2070836

来源: DOAJ

【 摘 要 】

A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized. Our method is based on the concepts of subordination and superordination. As an application, a class of differential equations involving the suggested operator is studied. As seen, the solution is provided by a certain hypergeometric function. We also create a fractional coefficient differential operator. Its geometric and analytic features are discussed. Finally, we use the Jackson's calculus to expand the Raina's differential operator and investigate its properties in relation to geometric function theory.

【 授权许可】

Unknown