Principles of delta fractional calculus on time scales and inequalities

Abstract

Here we develop the Delta Fractional Calculus on Time Scales. Then we produce related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert-Pachpatte. Finally, we give inequalities' applications on the time scale R. © 2010 Elsevier Ltd.

Publication Title

Mathematical and Computer Modelling

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