(1) Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, U.S.A.
Abstract:
A large variety of Lp(p 0) form very general Opial type inequalities arepresented engaging different order generalized fractional derivatives of a function. These arebased on a generalization of Taylors formula for generalized fractional derivatives. In the finalresults of this work, a monotonicity property of the involved function/highest-order generalizedfractional derivative is used.