E.R. Love type right side fractional integral inequalities

Abstract. Motivated for the work of E.R. Love ([4], 1985) on integral inequalities we produce general right side direct and reverse integral inequalities. We apply these to ordinary and right side fractional integral inequalities. The last involves ordinary derivatives, right side Riemann–Liouville fractional integrals, right side Caputo fractional derivatives, and right side generalized fractional derivatives. These inequalities are of Opial type ([5]).

Key words and phrases. Direct and reverse Minkowski integral inequality, right Opial inequality, right Riemann–Liouville fractional integral, right fractional derivatives.