(<i>k</i>, <i>s</i>)-Riemann-Liouville fractional integral and applications

Sarikaya M. Z., Dahmani Z., Kiris M. E., Ahmad F.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.1, ss.77-89, 2016 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164512484
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.77-89
  • Hatay Mustafa Kemal Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.