Lyapunov-type inequalities for m-point fractional boundary value problem

被引：2

作者：

Aouafi, Rabiaa ^{[1
]}

Adjeroud, Nacer ^{[2
]}

机构：

[1] Oum El Bouaghi Univ, Dept Math, Oum El Bouaghi 04000, Algeria

[2] Khenchela Univ, Dept Math, Khenchela 40000, Algeria

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2019年 / 9卷 / 04期

关键词：

fractional differential equation; Caputo's fractional derivative; Lyapunov inequalities; multi-point; Mittag-Leffler function;

D O I：

10.1504/IJDSDE.2019.103738

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish some Lyapunov-type inequalities for the fractional boundary value problem of higher order under multi-point boundary conditions. In order to illustrate the results, we provide numerical example and we use this inequality to obtain an interval where linear combinations of certain Mettag-Leffler functions have no real zeros.

引用

页码：380 / 391

页数：12

共 27 条

[1] Agarwal P., 2018, ADV DIFFER EQU-NY, P1
[2] Agarwal P, 2017, J INEQUAL APPL, V1, P1
[3] Some inequalities involving Hadamard-type k-fractional integral operators
Agarwal, Praveen
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 3882 - 3891
[4] Lyapunov type inequalities for even order differential equations with mixed nonlinearities
Agarwal, Ravi P.
Ozbekler, Abdullah
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[5] [Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[6] Arifi N. AL., 2016, J INEQUAL APPL, V189, P1
[7] Lyapunov-type integral inequalities for certain higher order differential equations
Cakmak, Devrim
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 368 - 373
[8] Eigenvalue problems for fractional ordinary differential equations
Duan, Jun-Sheng
Wang, Zhong
Liu, Yu-Lu
Qiu, Xiang
[J]. CHAOS SOLITONS & FRACTALS, 2013, 46 : 46 - 53
[9] Ferreira RAC, 2016, ADV DYN SYST APPL, V11, P33
[10] On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
Ferreira, Rui A. C.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (02) : 1058 - 1063

← 1 2 3 →