Nabla discrete fractional calculus and nabla inequalities

Authors:
George A. Anastassiou
Affiliations:
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 0
Cited 2

Principles of delta fractional calculus on time scales and inequalities

Mathematical and Computer Modelling: An International Journal
Gronwall's inequality on discrete fractional calculus

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.98

Visualization

Abstract

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, Poincare and Sobolev type inequalities.