Results 1 to 10 of about 1,247 (158)

A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel [PDF]

Journal of Inequalities and Applications, 2017
In this article, we extend fractional operators with nonsingular Mittag-Leffler kernels, a study initiated recently by Atangana and Baleanu, from order α ∈ [ 0 , 1 ] $\alpha\in[0,1]$ to higher arbitrary order and we formulate their correspondent integral
Thabet Abdeljawad
doaj   +2 more sources

Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green’s function [PDF]

Scientific Reports
This article considers a Lyapunov delta-type inequality with Green’s functions including fractional falling functions. We define a fractional difference problem of Riemann-Liouville type with a fractional boundary condition and, using the Green’s ...
Pshtiwan Othman Mohammed, Meraa Arab
doaj   +2 more sources

On Lyapunov-type inequality for a class of quasilinear systems

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
doaj   +4 more sources

Sharp Lyapunov inequalities and the emergence of chaos in discrete fractional systems [PDF]

Scientific Reports
In this article, novel results on the maximality of discrete fractional Green’s functions are established and corresponding explicit Lyapunov inequalities for delta fractional systems, with applications to chaos analysis and robust control design, are ...
Meraa Arab, Pshtiwan Othman Mohammed, Dumitru Baleanu, Faraidun Kadir Hamasalh   +3 more
doaj   +2 more sources

Lyapunov-type inequality for a class of quasilinear systems

Mathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong-In Kim, Kueiming Lo
exaly   +3 more sources

Lyapunov-type inequalities for n-dimensional quasilinear systems

Electronic Journal of Differential Equations, 2013
In this article, inspired by the paper of Yang et al [12], we establish new versions of Lyapunov-type inequalities for a certain class of Dirichlet quasilinear systems.
Mustafa Fahri Aktas
doaj   +3 more sources

Refinement of a Lyapunov-Type Inequality for a Fractional Differential Equation

Symmetry
In this paper, we focus on a fractional differential equation  0CDαu(t)+q(t)u(t)=0 with boundary value conditions u(0)=δu(1),u′(0)=γu′(1). The paper begins by pointing out the inadequacies of the study conducted by Ma and Yangin establishing Lyapunov-type inequalities.
Hongying Xiao, Zhaofeng Li, Yuanyuan Zhang, Xiaoyou Liu   +3 more
exaly   +2 more sources

LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS [PDF]

Journal of the Australian Mathematical Society, 2020
AbstractIn this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation:$$\begin{eqnarray}\left\{\begin{array}{@{}ll@{}}{\mathcal{M}}_{\unicode[STIX]{x1D706},\unicode[STIX]{x1D6EC}}^{+}(D^{2}u)+b(x)|Du|+a(x)u=0 & \text{in}~\unicode[STIX]{x1D6FA},\\ u=0 & \text{on}~\unicode[STIX]{x2202}\unicode[STIX]{x1D6FA},\
J. TYAGI, R. B. VERMA
openaire   +2 more sources

Lyapunov-type inequality and solution for a fractional differential equation

Journal of Inequalities and Applications, 2020
In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem.
Dexiang Ma, Zifa Yang
doaj   +1 more source

On the Lyapunov Type Inequality

Russian Mathematics, 2020
The author's main result concernes an estimate on the zeros of the solutions to a linear equation of the type \[ x''+p(t)x'(t)+q(t)x=0. \] When \(p(t)\) is identically equal to zero, Lyapunov provided the following result: if \(x(t)\) is a solution such that \(x(a)=x(b)=0\) and \(x(t)\ne0\) for every \(t\in(a,b)\), then \[ \int_a^b|q(t)|\,dt\ge\frac{4}{
openaire   +4 more sources