Reverse Riemann-Liouville fractional opial inequalities for several functions

被引：0
作者：
Anastassiou, George A. [1 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 06期
关键词：
Opial type inequality; Riemann-Liouville fractional derivative;
D O I：
10.1080/17476930701830074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A variety of very general L-p(0 < p < 1) form reverse Opial type inequalities ([15]) is shown involving Riemann-Liouville fractional derivatives ([3,12,14,13]) of several functions in different orders and powers. From the established results derive other particular results of special interest.
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收藏
页码：523 / 544
页数：22
相关论文
共 18 条
  • [1] AGARWAL R. P., 1995, Opial inequalities with applications in differential and difference equations
  • [2] ANASTASSIOU G, 2007, B ALLAHABAD IN PRESS
  • [3] General fractional opial type inequalities
    Anastassiou, GA
    [J]. ACTA APPLICANDAE MATHEMATICAE, 1998, 54 (03) : 303 - 317
  • [4] Anastassiou GA, 2004, COMPUT MATH APPL, V48, P1701, DOI [10.1016/j.camwa.2003.08.013, 10.1016/j.camwa.2004.08.013]
  • [5] ANASTASSIOU GA, 2007, MATH COMPUT IN PRESS
  • [6] ANASTASSIOU GA, 2001, DYNAMIC SYSTEMS APPL, V10, P395
  • [7] ANASTASSIOU GA, 2007, INT J PURE IN PRESS
  • [8] ANASTASSIOU GA, 2002, INT J MATH MATH SCI, V31, P85, DOI DOI 10.1155/S016117120201311X
  • [9] ANASTASSIOU GA, 1999, NONLINEAR STUDIES, V6, P207
  • [10] [Anonymous], 1990, COURSE MORDERN ANAL
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