Fuzzy subordination results for fractional integral associated with generalized Mittag-Leffler function

Abbas Kareem Wanas ,Abdulrahman H Majeed

doi:10.28919/eml/4073

Abstract

By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler function in the open unit disk.

Highlights

Let H(U) denote the class of analytic functions in the open unit disk U = {z ∈ C ∶ |z| < 1}
By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler function in the open unit disk
We say that the fuzzy subsets M and N are equal if and only if FM(x) = FN(x), x ∈ X and we denote this by (M, FM) = (N, FN)

Summary

Introduction

Abstract: By making use of fractional integral, we study fuzzy subordination methods to obtain some interesting results of operator defined by generalized Mittag-Leffler function in the open unit disk. Let H(U) denote the class of analytic functions in the open unit disk U = {z ∈ C ∶ |z| < 1}. Definition 1.2 (Oros and Gh Oros, [10]) Let two fuzzy subsets of X, (M, FM) and (N, FN). Let D ⊆ C and f, g analytic functions.

Results

Conclusion