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 On some weighted Hardy-type inequalities involving extended Riemann-Liouville fractional calculus operators Commun. Korean Math. Soc. 2020 Vol. 35, No. 1, 161-184 https://doi.org/10.4134/CKMS.c180458Published online January 31, 2020 Sajid Iqbal, Josip Pe\v cari\'c, Muhammad Samraiz, Hassan Tehmeena, \v Zivorad Tomovski University of Sargodha (Sub-Campus Bhakkar); RUDN University; University of Sargodha; University of Sargodha (Mandi Bahauddin Campus); Institute of Mathematics Abstract : In this article, we establish some new weighted Hardy-type inequalities involving some variants of extended Riemann-Liouville fractional derivative operators, using convex and increasing functions. As special cases of the main results, we obtain the results of \cite{spp, s1}. We also prove the boundedness of the $k$-fractional integral operator on $L_{p}[a,b]$. Keywords : Hardy-type inequalities, Riemann-Liouville, fractional integral operator, convex and increasing function MSC numbers : 26D15, 26D10, 26A33 Downloads: Full-text PDF   Full-text HTML