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Differential Sandwich Theorems for Atangana–Baleanu Fractional Integral Applied to Extended Multiplier Transformation

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  • Alb LupaÅŸ Alina
  • Bipan Hazarika
  • Luigi Rodino

Abstract

In this paper we derive subordination and superordination results regarding the Atangana–Baleanu fractional integral applied to multiplier transformation and we give several differential sandwich-type theorems. Then, we apply the Atangana–Baleanu fractional integral to extended multiplier transformation on the class Aζ∗ of normalized analytic functions and we derive strong differential subordination and strong differential superordination results regarding the extended new operator and we give the corresponding differential sandwich-type theorems from the first part of the paper.

Suggested Citation

  • Alb LupaÅŸ Alina & Bipan Hazarika & Luigi Rodino, 2022. "Differential Sandwich Theorems for Atangana–Baleanu Fractional Integral Applied to Extended Multiplier Transformation," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:5239339
    DOI: 10.1155/2022/5239339
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