Foundations of nabla fractional calculus on time scales and inequalities

被引：72

作者：

Anastassiou, George A. ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 12期

关键词：

Fractional calculus on time scales; Nabla Poincare inequality; Nabla Sobolev inequality; Nabla Opial inequalities; Nabla Ostrowski inequality; Nabla Hilbert-Pachpatte inequality; Fractional inequalities;

D O I：

10.1016/j.camwa.2010.03.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

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

引用

页码：3750 / 3762

页数：13

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