On Some Weighted Hardy-type Inequalities Involving Extended Riemann-Liouville Fractional Calculus Operators
Commun. Korean Math. Soc.
Published online August 27, 2019
Sajid Iqbal, Josip Pecaric, Muhammad Samraiz, Hassan Tehmeena, and Zivorad Tomovski
University of Sargodha, Sub Campus Bhakkar, Bhakkar, Pakistan, RUDN University, Moscow, Russia, University of Sargodha, Sargodha, Pakistan, University of Sargodha, Mandi Bahauddin Campus, Mandi Bahauddin, Pakistan, University St. cyril and Methodius, Republic of Macedonia
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 [16,17]. We also prove the boundedness of the k-fractional integral operator on L_p[a; b].
Keywords : Hardy-type inequalities; Riemann-Liouville; Fractional operator; Convex and increasing function
MSC numbers : 26D15, 26D10, 26A33
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