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- Title
Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator.
- Authors
Breaz, Daniel; Khan, Shahid; Tawfiq, Ferdous M. O.; Tchier, Fairouz
- Abstract
In this research, we combine ideas from geometric function theory and fuzzy set theory. We define a new operator D τ − λ L α , ζ m : A → A of analytic functions in the open unit disc Δ with the help of the Riemann–Liouville fractional integral operator, the linear combination of the Noor integral operator, and the generalized Sălăgean differential operator. Further, we use this newly defined operator D τ − λ L α , ζ m together with a fuzzy set, and we next define a new class of analytic functions denoted by R ϝ ζ (m , α , δ). Several innovative results are found using the concept of fuzzy differential subordination for the functions belonging to this newly defined class, R ϝ ζ (m , α , δ). The study includes examples that demonstrate the application of the fundamental theorems and corollaries.
- Subjects
FRACTIONAL integrals; GEOMETRIC function theory; INTEGRAL operators; DIFFERENTIAL operators; ANALYTIC functions; UNIVALENT functions; MERGERS &; acquisitions; FUZZY sets
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 24, p4975
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11244975