On Special Fuzzy Differential Subordinations Obtained for Riemann–Liouville Fractional Integral of Ruscheweyh and Sălăgean Operators.

New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by D z − λ L α n , previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known Ruscheweyh and Sălăgean differential operators. A new fuzzy subclass D L n F δ , α , λ is defined and studied involving the operator D z − λ L α n . Fuzzy differential subordinations are obtained considering functions from class D L n F δ , α , λ and the fuzzy best dominants are also given. Using particular functions interesting corollaries are obtained and an example shows how the obtained results can be applied. [ABSTRACT FROM AUTHOR]