Results 31 to 40 of about 28,949 (123)
Lyapunov-Type Inequalities for Conformable BVP
Journal of Applied Mathematics and Physics, 2018 In this paper, we present Lyapunov-type inequality for conformable BVP with the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding boundary conditions. We obtain the Lyapunov-type inequality by a construction Green’s function and get its corresponding maximum value.
Xia Wang, Run Xu
openaire +2 more sources
A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
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 +1 more source
IEEE Access, 2021 This paper studies the problem of extended dissipativity analysis for Markovian jump neural networks (MJNNs) with time-varying delay. Combining Wirtinger-based double integral inequality and S-procedure lemma, a novel double integral-based delay-product ...
Xiaoping Huang +3 more
doaj +1 more source
A Framework for Robust Assessment of Power Grid Stability and Resiliency [PDF]
, 2016 Security assessment of large-scale, strongly nonlinear power grids containing thousands to millions of interacting components is a computationally expensive task.
Turitsyn, Konstantin, Vu, Thanh Long
core +1 more source
Measure concentration through non-Lipschitz observables and functional inequalities [PDF]
, 2012 Non-Gaussian concentration estimates are obtained for invariant probability measures of reversible Markov processes. We show that the functional inequalities approach combined with a suitable Lyapunov condition allows us to circumvent the classical ...
Guillin, Arnaud, Joulin, Aldéric
core +5 more sources
Journal of Function Spaces, 2019 The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures ...
Ting Xie, Zengtai Gong
doaj +1 more source
Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System
Discrete Dynamics in Nature and Society, 2013 This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
Zixin Liu +3 more
doaj +1 more source
A generalized Lyapunov-type inequality in the frame of conformable derivatives
Advances in Difference Equations, 2017 We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order α ∈ ( 1 , 2 ] $\alpha \in (1,2]$ . Indeed, it is shown that if the boundary value problem ( T α c x ) ( t ) + r ( t ) x ( t ) = 0 , t ∈ ( c , d ) , x (
Thabet Abdeljawad +2 more
doaj +1 more source
Mathematics, 2023 The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard fractional derivative. This type of model is appropriate for applications involving processes that occur
John R. Graef +2 more
doaj +1 more source
Uncertainty estimates and L_2 bounds for the Kuramoto-Sivashinsky equation
, 2005 We consider the Kuramoto-Sivashinsky (KS) equation in one spatial dimension with periodic boundary conditions. We apply a Lyapunov function argument similar to the one first introduced by Nicolaenko, Scheurer, and Temam, and later improved by Collet ...
DeLellis C +13 more
core +1 more source