Nabla discrete fractional calculus and nabla inequalities


Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remainders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincaré and Sobolev type inequalities. © 2009 Elsevier Ltd. All rights reserved.

Publication Title

Mathematical and Computer Modelling