KaydedilenlerDerginizi ekleyin

Dergiler / Mathematical and Computational Applications / 2014 / Cilt: 19 - Sayı: 2

A note on fractional differential subordination based on the srivastava-owa fractional operator

Rabha W. IBRAHIM
Maslina DARUS
Sayfa
115–123
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

By employing some types of admissible functions involving differential operator of fractional order, we illustrate applications.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, we consider a definition for the concept of fractional differential subordination in sense of Srivastava-Owa fractional operators.
📊
Temel Bulgular & Veri:In this work, we consider a definition for the concept of fractional differential subordination in sense of Srivastava-Owa fractional operators.
💡
Sonuç & Katkı:By employing some types of admissible functions involving differential operator of fractional order, we illustrate applications.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this work, we consider a definition for the concept of fractional differential subordination in sense of Srivastava-Owa fractional operators. By employing some types of admissible functions involving differential operator of fractional order, we illustrate applications.

🔖

Bu Makaleye Atıf Yap

IBRAHIM, R. W., DARUS, M. (2014). A note on fractional differential subordination based on the srivastava-owa fractional operator. Mathematical and Computational Applications, Cilt: 19 - Sayı: 2, 115–123. https://ajindex.com/articles/279790

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. M. Darus, R.W. Ibrahim, Radius estimates of a subclass of univalent functions, Mathematical Vesnik 63, 155-58, 2011
  2. H.M. Srivastava, Y. Ling, G. Bao, Some distortion inequalities associated with the fractional derivatives of analytic and univalent functions, Journal of Inequalities in Pure and Applied Mathematics 2, 1-6, 2001
  3. H.M. Srivastava, S. Owa, Univalent Functions, Fractional Calculus, and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisban, and Toronto, 1989
  4. R.W. Ibrahim, M. Darus, Subordination and superordination for analytic functions involving fractional integral operator, Complex Variables and Elliptic Equations 53, 1021-1031, 2008
  5. R.W. Ibrahim, M. Darus, Subordination and superordination for univalent solutions for fractional differential equations, Journal of Mathematical Analysis and Applications 345, 871-879, 2008
  6. A. A. Kilbas, H. M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations. North-Holland, Mathematics Studies, Elsevier 2006
  7. S.S. Miller and P.T. Mocanu, Differential Subordinations: Theory and Applications. Pure and Applied Mathematics No.225 Dekker, New York, 2000
  8. I. Podlubny, Fractional differential equations. San Diego: Academic Press; 1999
  9. S.S. Miller and P.T. Mocanu, Differential Subordinations and Univalent Functions, Michigan Mathematical Journal 28, 157-171, 1981
  10. R.W. Ibrahim, The concept of fractional differential subordination, Tamkang Journal of Mathematics 44, 53-60, 2013.