Discussion on $(k, s)$-Riemann Liouville fractional integral and applications

Year 2024, Volume: 53 Issue: 6, 1712 - 1714, 28.12.2024

Bouharket Benaissa , Mehmet Zeki Sarıkaya

https://doi.org/10.15672/hujms.1269057

Abstract

In this paper we present the correct version of Theorem 2.2 in [$(k; s)$-Riemann-Liouville fractional integral and applications, Hacet. J. Math. Stat. \textbf{45} (1), 77 - 89, 2016] and prove it.

Keywords

Riemann-Liouville fractional integrals , synchronous function , Tchebychev inequality , Hölder inequality

References

• [1] U.N. Katugompola, New Approach Generalized Fractional Integral, Applied Math and Comp. 218 860 - 865, 2011.
• [2] U.N. Katugompola, A New Approach To Generalized Fractional Derivatives, Bul. Mat. Anal. App. 6 (4), 1 - 15, 2014.
• [3] M.Z. Sarikaya, Z. Dahmani, M.E. Kiris and F. Ahmad, $(k; s)$-Riemann-Liouville fractional integral and applications, Hacet. J. Math. Stat. 45 (1), 77 - 89, 2016.