TY - JOUR AU - Alina Alb Lupas, PY - 2017/12/30 Y2 - 2024/03/28 TI - On Special Fuzzy Differential Subordinations Using Generalized Sala gean Operator and Ruscheweyh Derivative JF - Journal of Advances in Applied & Computational Mathematics JA - J. Adv. App. Comput. Math. VL - 4 IS - 1 SE - Articles DO - 10.15377/2409-5761.2017.04.5 UR - https://www.avantipublishers.com/index.php/jaacm/article/view/839 SP - 26-34 AB - <p>: In the present paper we establish several fuzzy differential subordinations regardind the operator RD!,"<br />m , given<br />by RD!,"<br />m : A # A, RD!,"<br />m f (z) = (1#")Rm f (z)+"D!<br />m f (z), where Rm f (z) denote the Ruscheweyh derivative, D!<br />m f (z) is the<br />generalized S !<br />a l<br />!<br />a gean operator and A = { f !H(U), f (z) = z + a2z<br />2 +…, z !U} is the class of normalized analytic<br />functions. A certain fuzzy class, denoted by RDm<br />F (!,",# ), of analytic functions in the open unit disc is introduced by<br />means of this operator. By making use of the concept of fuzzy differential subordination we will derive various properties and characteristics of the class RDm<br />F (!,",# ). Also, several fuzzy differential subordinations are established regarding<br />the operator RD!,"<br />m .</p> ER -