(<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, vol.45, no.1, pp.77-89, 2016 (SCI-Expanded, Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 45 Issue: 1
• Publication Date: 2016
• Doi Number: 10.15672/hjms.20164512484
• Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.77-89
• Hatay Mustafa Kemal University Affiliated: No

Abstract

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.