Applications of the (k,s,h)-Riemann-Liouville and (k,h)-Hadamard Fractional Operators on Inequalities

Authors : Mohamed BEZZIOU, Zoubir DAHMANİ, Mehmet Eyüp KİRİŞ

Pages : 197-206

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Publication Date : 2020-04-15

Article Type : Research Paper

Abstract :This paper deals with some results of fractional inequalities involving two recent recent integral operators: the $\leftinsert ignore into journalissuearticles values( k,s,h\right); -$Riemann-Liouville integral and the $\leftinsert ignore into journalissuearticles values( k,h\right);-$Hadamard fractional operator. We generalize some classical integral inequalities as well as some other fractional inequalities. By simple arguments, we establish a relation between the two considered operators that allows us to establish several integral results.
Keywords : Gruss İnequality, Reiman Lioville Fractional Integral, Korkine Idendity