Some applications of fractional calculus for analytic functions

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UYANIK N., Owa S.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.5, ss.2025-2034, 2021 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2103-23
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2025-2034
  • Anahtar Kelimeler: Analytic function, fractional integral, fractional derivative, Miller and Mocanu lemma
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Anadolu Üniversitesi Adresli: Evet

Özet

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).