General (k, p)-Riemann-Liouville fractional integrals


Benaissa B., Budak H.

FILOMAT, vol.38, no.8, pp.2579-2586, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 38 Issue: 8
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2408579b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2579-2586
  • Kocaeli University Affiliated: No

Abstract

The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function. In particular, we present the harmonic, geometric and arithmetic (k, p)- Riemann-Liouville fractional integrals. When p = k, these integrals reduce to k-Riemann-Liouville fractional integrals. Some formulas relating to general (k, p)-Riemann-Liouville fraction integrals are also given.