On Lp-solutions for a class of sequential fractional differential equations

被引：61

作者：

Baleanu, Dumitru ^{[1
]}

Mustafa, Octavian G. ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Balgat Ankara, Turkey

[2] Univ Craiova, DAL, Dept Math & Comp Sci, Craiova 200534, Romania

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 05期

关键词：

Sequential fractional differential equation; L-p-solution; Limit-circle/limit-point classification of differential equations;

D O I：

10.1016/j.amc.2011.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under some simple conditions on the coefficient a( t), we establish that the initial value problem ((0)D(t)(alpha)x)' + a(t)x = 0; t > 0; lim(t SE arrow 0)[t(1-alpha)x(t)] = 0 has no solution in L-p((1, +infinity), R), where p-1/p > alpha > 1/p and D-0(t)alpha designates the Riemann-Liouville derivative of order alpha Our result might be useful for developing a non-integer variant of H. Weyl's limit-circle/limit-point classification of differential equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2074 / 2081

页数：8

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