Some applications of fractional calculus for analytic functions
TURKISH JOURNAL OF MATHEMATICS, vol.45, no.5, pp.2025-2034, 2021 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 45 Issue: 5
- Publication Date: 2021
- Doi Number: 10.3906/mat-2103-23
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.2025-2034
- Keywords: Analytic function, fractional integral, fractional derivative, Miller and Mocanu lemma
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
For analytic functions f (z) in the class A(n), fractional calculus (fractional integrals and fractional derivatives) D-z(lambda) f (z) of order lambda are introduced. Applying D-z(lambda) f (z) for f (z) is an element of A(n), we introduce the interesting subclass A(n) (alpha(m), beta, rho, lambda) of A(n). The object of this paper is to discuss some properties of f (z) concerning D-z(lambda) f (z).