Some new integral inequalities for k-fractional integrals

Jessada Tariboona,* Sotiris K. Ntouyasb,c and Muharrem Tomard

Some new integral inequalities for k-fractional integrals

Authors :

Jessada Tariboon^a,* Sotiris K. Ntouyas^b,c and Muharrem Tomar^d

Author Address :

^aNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800 Thailand.
^bDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
^cNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
^dDepartment of Mathematics, Faculty of Science and Arts, Ordu University, 52200 Ordu, Turkey.

*Corresponding author.

Abstract :

The aim of the present paper is to investigate some new integral inequalities for k-fractional integrals. Moreover, special cases of the integral inequalities in this paper have been obtained by Tariboon et.al. in [22].

Keywords :

k-Reimann-Liouville calculus; fractional integral inequalities; Gr¨ uss inequality.

DOI :

Article Info :

Received : September 15, 2015; Accepted : January 13, 2016.