A MULTIPLE OPIAL TYPE INEQUALITY FOR THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

被引：27

作者：

Andric, M. ^{[1
]}

Pecaric, J. ^{[2
]}

Peric, I. ^{[3
]}

机构：

[1] Univ Split, Fac Civil Engn Architecture & Geodesy, Split, Croatia

[2] Univ Zagreb, Fac Text Technol, Zagreb 41000, Croatia

[3] Univ Zagreb, Fac Food Technol & Biotechnol, Zagreb 41000, Croatia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2013年 / 7卷 / 01期

关键词：

Riemann-Liouville fractional derivative; composition identity; Opial type inequality; Laplace transform;

D O I：

10.7153/jmi-07-13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove a multiple Opial type inequality for RL fractional derivatives which is proved for two factors and ordinary derivatives by Fink in [6]. Two methods are applied and a comparison of the obtained estimations is also given.

引用

页码：139 / 150

页数：12

共 11 条

[1] Agarwal R. P., 1995, Opial inequalities with applications in differential and difference equations
[2] ANASTASSIOU GA, 2001, DYNAMIC SYSTEMS APPL, V10, P395
[3] ANASTASSIOU GA, 2002, INT J MATH MATH SCI, V31, P85, DOI DOI 10.1155/S016117120201311X
[4] Andric M, 2011, DYNAM SYST APPL, V20, P383
[5] ANDRIC M., MATH INEQUA IN PRESS
[6] [Anonymous], 1960, Ann. Polon. Math.
[7] [Anonymous], 2006, Journal of the Electrochemical Society
[8] ON OPIALS INEQUALITY FOR F(N)
FINK, AM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 177 - 181
[9] On an Opial type inequality due to Fink
Pang, PYH
Agarwal, RP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 196 (02) : 748 - 753
[10] Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications

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