Some Applications of Fractional Integral for Mittag-Leffler Function on Strong Differential Sandwich Results

In this paper, we introduce new geometric properties of analytic functions by utilizing the fractional integral operator associated with the Mittag-Leffler function. Specifically, we establish several framework criteria under which strong differential subordination as well as superordination hold across the product domain U×U¯, wherein the coefficients are holomorphic functions in U. For each investigated relation, the corresponding best dominant and best subordinant are explicitly determined. Utilizing these foundational outcomes, we subsequently derive novel strong sandwich-type theorems that bridge these dual concepts.