Abstract

‎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 $k>0$‎. ‎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.

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