FUZZY DIFFERENTIAL SUBORDINATION OF ANALYTIC UNIVALENT FUNCTIONS INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
By
Girish D. Shelake1 , Sarika K. Nilapgol2 and D. R. Phadatare3
1Department of Mathematics, Willingdon College, Sangli,Maharashtra, India-416415
2Department of Mathematics, Shivaji University, Kolhapur, Maharashtra, India-419004
3Department of Mathematics, Balasaheb Desai College, Patan, Maharashtra, India-415206.
Email: shelakegd@gmail.com, sarikanilapgol101@gmail.com, phadatared@yahoo.com
(Received: May 27, 2024; In format: September 23, 2024; Revised: February 23, 2025; Accepted: February 27, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55105
Abstract
In this present article, we establish some fuzzy differential subordinations of analytic functions that are connected with the Riemann-Liouville fractional integral to the linear combination of a novel integral operator and multiplier transformation. Furthermore, we define a new fuzzy class and obtain fuzzy differential subordination properties associated with it. Also, we have pointed out some examples as an application of the results obtained.
2020 Mathematical Sciences Classification: 30C45, 30A10
Keywords and Phrases: Univalent function, differential subordination, fuzzy differential subordination, best fuzzy dominant, novel integral operator, multiplier transformation, Riemann-Liouville fractional integral.