Title

Foundations of nabla fractional calculus on time scales and inequalities

Abstract

Here we develop the nabla fractional calculus on time scales. Then we produce related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert-Pachpatte. Finally we give inequality applications on the time scales R, Z. © 2010 Elsevier Ltd. All rights reserved.

Publication Title

Computers and Mathematics with Applications

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