Research Article

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

Volume: 45 Number: 1 February 1, 2016
EN

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

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.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2016

Submission Date

July 21, 2014

Acceptance Date

November 24, 2014

Published in Issue

Year 2016 Volume: 45 Number: 1

APA
Sarıkaya, M. Z., Dahmanı, Z., Kırıs, M. E., & Ahmad, F. (2016). (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics, 45(1), 77-89. https://izlik.org/JA62MY38ZA
AMA
1.Sarıkaya MZ, Dahmanı Z, Kırıs ME, Ahmad F. (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45(1):77-89. https://izlik.org/JA62MY38ZA
Chicago
Sarıkaya, Mehmet Zeki, Zoubir Dahmanı, Mehmet Eyüp Kırıs, and Farooq Ahmad. 2016. “(k, S)-Riemann-Liouville Fractional Integral and Applications”. Hacettepe Journal of Mathematics and Statistics 45 (1): 77-89. https://izlik.org/JA62MY38ZA.
EndNote
Sarıkaya MZ, Dahmanı Z, Kırıs ME, Ahmad F (February 1, 2016) (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics 45 1 77–89.
IEEE
[1]M. Z. Sarıkaya, Z. Dahmanı, M. E. Kırıs, and F. Ahmad, “(k, s)-Riemann-Liouville fractional integral and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, pp. 77–89, Feb. 2016, [Online]. Available: https://izlik.org/JA62MY38ZA
ISNAD
Sarıkaya, Mehmet Zeki - Dahmanı, Zoubir - Kırıs, Mehmet Eyüp - Ahmad, Farooq. “(k, S)-Riemann-Liouville Fractional Integral and Applications”. Hacettepe Journal of Mathematics and Statistics 45/1 (February 1, 2016): 77-89. https://izlik.org/JA62MY38ZA.
JAMA
1.Sarıkaya MZ, Dahmanı Z, Kırıs ME, Ahmad F. (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45:77–89.
MLA
Sarıkaya, Mehmet Zeki, et al. “(k, S)-Riemann-Liouville Fractional Integral and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 1, Feb. 2016, pp. 77-89, https://izlik.org/JA62MY38ZA.
Vancouver
1.Mehmet Zeki Sarıkaya, Zoubir Dahmanı, Mehmet Eyüp Kırıs, Farooq Ahmad. (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Feb. 1;45(1):77-89. Available from: https://izlik.org/JA62MY38ZA