The purpose of the present article is to derive some subordination and superordina-tion results for certain normalized analytic functions involving fractional integral operator. More-over, this result is applied to find a relation between univalent solutions for fractional differentialequation.Full textAcknowledgement. The work presented here was supported by eScienceFund<lb...

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

Abstract The study presented in this article involves q -calculus connected to fractional calculus applied the univalent functions theory. Riemann-Liouville integral of -hypergeometric function is defined here, and investigations are conducted using theories differential subordination superordination. Theorems corollaries containing new superordination results proved for which best dominants su...

The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations classical notions superordination. Fractional calculus is combined present paper with quantum aspects for obtaining new subordinations superordinations. For investigated superordinations, best subordinates dominants obtained, respectively. Furthermore, interes...

In this paper, the author combines geometric theory of analytic function regarding differential superordination and subordination with fuzzy for convolution product Ruscheweyh derivative multiplier transformation. Interesting inequalities are obtained by author.

In this paper we obtain some subordination and superordination results for p-valent functions by using a certain operator. 2000 Mathematics Subject Classification:30C45.

In 2012, new classes of analytic functions on U×U¯ with coefficient holomorphic in U¯ were defined to give a approach the concepts strong differential subordination and superordination. Using those classes, extended Dziok–Srivastava operator is introduced this paper and, applying fractional integral operator, we obtain Dz−γHmlα1,β1 that was not previously studied using subordinations superordin...

Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in unit disk U=w:w&lt;1 w∈₵, satisfy its specific relationship to derive subordination, superordination, sandwich results for this operator by using properties of subordination superordination concepts.

In the present investigation, we obtain subordination and superordination – preserving properties of certain integral operator with the sandwich type theorem.