On analytic functions associated with the Dziok-Srivastava linear operator and Srivastava-Owa fractional integral operator

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this article, we consider some subordination and superordination results involving the Dziok-Srivastava linear operator and the Srivastava-Owa fractional integral operator for certain normalized analytic functions in the open unit disk. Moreover, we discuss the existence of univalent solutions for fractional differential equations involving the Dziok-Srivastava linear operators. Some well-known results are introduced as special cases.

Original languageEnglish
Pages (from-to)441-450
Number of pages10
JournalArabian Journal for Science and Engineering
Volume36
Issue number3
DOIs
Publication statusPublished - May 2011

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Dziok-Srivastava Operator
Fractional Integral Operator
Linear Operator
Analytic function
Subordination
Fractional Differential Equation
Unit Disk

Keywords

  • Dziok-Srivastava linear operator
  • Srivastava-Owa fractional integral operator
  • Subordination
  • Superordination
  • Univalent solution

ASJC Scopus subject areas

  • General

Cite this

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AU - Ibrahim, Rabha W.

AU - Darus, Maslina

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N2 - In this article, we consider some subordination and superordination results involving the Dziok-Srivastava linear operator and the Srivastava-Owa fractional integral operator for certain normalized analytic functions in the open unit disk. Moreover, we discuss the existence of univalent solutions for fractional differential equations involving the Dziok-Srivastava linear operators. Some well-known results are introduced as special cases.

AB - In this article, we consider some subordination and superordination results involving the Dziok-Srivastava linear operator and the Srivastava-Owa fractional integral operator for certain normalized analytic functions in the open unit disk. Moreover, we discuss the existence of univalent solutions for fractional differential equations involving the Dziok-Srivastava linear operators. Some well-known results are introduced as special cases.

KW - Dziok-Srivastava linear operator

KW - Srivastava-Owa fractional integral operator

KW - Subordination

KW - Superordination

KW - Univalent solution

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