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In this article we get superordination and subordination results involving the fractional integral, introduced by Baleanu and Atangana, assigned to the multiplier transformation and we derive differential sandwich-type theorems. Next, we extend the results on the subclass of analytic normalized functions \(\mathcal {A}_{\varsigma }^{*}\) by applying Atangana-Baleanu fractional integral to the extended multiplier transformation and we obtain strong differential superordination and strong differential subordination results which give differential sandwich-type theorems.

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Other Differential Sandwich Results Involving Multiplier transformation and Atangana-Baleanu Fractional Integral

  • 会议论文

  • 发表日期：

    2025年

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  • Alina Alb Lupaş

摘要

In this article we get superordination and subordination results involving the fractional integral, introduced by Baleanu and Atangana, assigned to the multiplier transformation and we derive differential sandwich-type theorems. Next, we extend the results on the subclass of analytic normalized functions \(\mathcal {A}_{\varsigma }^{*}\) by applying Atangana-Baleanu fractional integral to the extended multiplier transformation and we obtain strong differential superordination and strong differential subordination results which give differential sandwich-type theorems.