"Fractional representation formulae and right fractional inequalities" by George A. Anastassiou
 

Fractional representation formulae and right fractional inequalities

Abstract

Here we prove fractional representation formulae involving generalized fractional derivatives, Caputo fractional derivatives and Riemann-Liouville fractional derivatives. Then we establish Poincaré, Sobolev, Hilbert-Pachpatte and Opial type fractional inequalities, involving the right versions of the abovementioned fractional derivatives. © 2011 Elsevier Ltd.

Publication Title

Mathematical and Computer Modelling

Share

COinS