Discussion of a new master's thesis under supervision of the Dean of College

 The Honorable Dean of the College of Education for Pure Sciences, Prof. Dr. (Abdul Rahman Salman Juma’a), is supervising a master’s thesis entitled:

((Study of Differential and Fuzzy Differential Subordinations of Certain Univalent Functions))

 For the student (Doaa Abdullah Saleh),Department of Mathematics who discussed her thesis on Monday morning, 29-8-2022, her thesis tagged:

 ((Study of Differential and Fuzzy Differential Subordinations of Certain Univalent Functions))

 The thesis aimed to study a fuzzy differential subordination and super ordination in analytic function theory. Through this work, some results for fuzzy differential subordination as well as fuzzy differential super ordination have been obtained for analytic univalent functions that involve specific integral operator theories in the open unit disk. Also, we have discussed the sandwich theorem for this function. Some properties of fuzzy differential subordination and fuzzy differential super ordination for univalent functions involving the Atangana–Baleanu integral of extended Bessel functions have been presented. A dominant of the fuzzy differential subordination and the best dominant were given. Also, we have determined a subordinate and the best subordinate of the fuzzy differential super ordination, and some applications of fuzzy subordination and super ordination that include the fractional integral of a Kummer confluent hyper geometric function defined in the open unit disk have been given. Second-order differential subordination and super ordination involving Mittag-Leffler functions have been discussed for the class of analytic and univalent functions in the unit open disk. Fuzzy subordination, super ordination, and sandwich theorem of analytic functions associated with generalization Srivastava -Attiya operator have been investigated.

After extensive discussion by the committee members with the student about the topic of her thesis, the thesis was accepted.