Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions

被引：2

作者：

Bachar, Imed ^{[1
]}

Eltayeb, Hassan ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2020年 / 2020卷

关键词：

D O I：

10.1155/2020/8234892

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Hartman-type and Lyapunov-type inequalities for a class of Riemann-Liouville fractional boundary value problems with fractional boundary conditions. Some applications including a lower bound for the corresponding eigenvalue problem are obtained.

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页数：6

相关论文

共 22 条

[1]

Abdeljawad T, 2017, ADV DIFFER EQU-NY, V2017, P1, DOI DOI 10.1186/s13662-016-1057-2

[2]

Abdeljawad T., 2017, J INEQUAL APPL, V2017, P1

[3] Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives [J].

Abdeljawad, Thabet ;

Agarwal, Ravi P. ;

Alzabut, Jehad ;

Jarad, Fahd ;

Ozbekler, Abdullah .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

[4] A generalized Lyapunov-type inequality in the frame of conformable derivatives [J].

Abdeljawad, Thabet ;

Alzabut, Jehad ;

Jarad, Fahd .

ADVANCES IN DIFFERENCE EQUATIONS, 2017,

[5] Positive solutions for mixed problems of singular fractional differential equations [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Stanek, Svatoslav .

MATHEMATISCHE NACHRICHTEN, 2012, 285 (01) :27-41

[6] Existence of positive solution for singular fractional differential equation [J].

Bai, Zhanbing ;

Qiu, Tingting .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (07) :2761-2767

[7]

Brown RC, 2000, MATH APPL, V518, P1

[8]

CHENG SS, 1991, FASC MATH, V23, P25

[9] Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions [J].

Dhar, Sougata ;

Kong, Qingkai ;

McCabe, Michael .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (43) :1-16

[10] 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