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

Mehmet Zeki Sarıkaya; Zoubir Dahmanı; Mehmet Eyüp Kırıs; Farooq Ahmad

Research Article

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

Year 2016, Volume: 45 Issue: 1, 77 - 89, 01.02.2016

Mehmet Zeki Sarıkaya Zoubir Dahmanı Mehmet Eyüp Kırıs Farooq Ahmad

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

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

References

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Year 2016, Volume: 45 Issue: 1, 77 - 89, 01.02.2016

Mehmet Zeki Sarıkaya Zoubir Dahmanı Mehmet Eyüp Kırıs Farooq Ahmad

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Mehmet Zeki Sarıkaya Zoubir Dahmanı Mehmet Eyüp Kırıs This is me Farooq Ahmad This is me
Publication Date	February 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 1

Cite

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.
AMA	Sarıkaya MZ, Dahmanı Z, Kırıs ME, Ahmad F. (k, s)-Riemann-Liouville fractional integral and applications. Hacettepe Journal of Mathematics and Statistics. February 2016;45(1):77-89.
Chicago	Sarıkaya, Mehmet Zeki, Zoubir Dahmanı, Mehmet Eyüp Kırıs, and Farooq Ahmad. “(k, S)-Riemann-Liouville Fractional Integral and Applications”. Hacettepe Journal of Mathematics and Statistics 45, no. 1 (February 2016): 77-89.
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	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, 2016.
ISNAD	Sarıkaya, Mehmet Zeki et al. “(k, S)-Riemann-Liouville Fractional Integral and Applications”. Hacettepe Journal of Mathematics and Statistics 45/1 (February 2016), 77-89.
JAMA	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, 2016, pp. 77-89.
Vancouver	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.