- - - Department of Mathematics‎, ‎G.C‎. ‎University Faisalabad‎, ‎Faisalabad‎, ‎Pakistan
- - - Department of Mathematics‎, ‎COMSATS University Islamabad‎, ‎Attock Campus‎, ‎Pakistan
- - - Department of Mathematics‎, ‎University of Sargodha‎, ‎Sargodha‎, ‎Pakistan‎

‎The main aim of this research article is to present the generalized k-fractional conformable integrals and an improved version of Gr\ddot{u}ss integral inequality via the fractional conformable integral in status of a new parameter k>۰‎. ‎Here for establishing Gr\ddot{u}ss inequality in fractional calculus the classical method of proof has been adopted also related results with Gr\ddot{u}ss inequality have been discussed‎. ‎This work contributes in the current research by providing mathematical results along with their verifications‎. 

k-fractional conformable integrals‎, ‎Fractional integral inequalities‎, ‎Grddot{u}ss inequality‎