Lyapunov-type inequality for a Riemann-Liouville fractional differential boundary value problem

被引：2
作者：
Al-Qurashi, Maysaa [1 ]
Ragoub, Lakhdar [2 ]
机构：
[1] King Saud Univ, Math Dept, Coll Sci, Riyadh, Saudi Arabia
[2] Al Yamamah Univ, Coll Comp & Informat Syst, Math Dept, Riyadh, Saudi Arabia
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 47卷 / 06期
关键词：
Lyapunov's inequality; Riemann-Liouville derivative; Caputo fractional derivative; mixed boundary conditions;
D O I：
10.15672/HJMS.20164517216
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to present a Lyapunov-type inequality for a Riemann-Liouville fractional differential equation of order 2 < alpha <= 3 subject to mixed boundary conditions.
引用
收藏
页码：1447 / 1452
页数：6
相关论文
共 8 条
[1]   Positive solutions for boundary value problem of Nonlinear fractional differential equation [J].
El-Shahed, Moustafa .
ABSTRACT AND APPLIED ANALYSIS, 2007,
[2]   On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function [J].
Ferreira, Rui A. C. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (02) :1058-1063
[3]   A Lyapunov-type inequality for a fractional boundary value problem [J].
Ferreira, Rui A. C. .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (04) :978-984
[4]   A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition [J].
Jleli, Mohamed ;
Ragoub, Lakhdar ;
Samet, Bessem .
JOURNAL OF FUNCTION SPACES, 2015, 2015
[5]   LYAPUNOV-TYPE INEQUALITIES FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MIXED BOUNDARY CONDITIONS [J].
Jleli, Mohamed ;
Samet, Bessem .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02) :443-451
[6]  
Killbas A., 2006, Theory and Applications of Fractional Differential Equations, DOI [10.1016/S0304-0208(06)80001-0, 10. 1016/S0304-0208(06)80001-0, DOI 10.1016/S0304-0208(06)80001-0]
[7]  
LIAPOUNOFF A. M., 1907, ANN FAC SCI TOULOUSE, V9, P203, DOI DOI 10.5802/AFST.246
[8]  
Pachpatte B.G., 2005, MATH INEQUALITIES, V67
1