Showing papers in "Applied Mathematics and Computation in 2018"

TL;DR: This article analyzes moderate epidemiological model to describe computer viruses with an arbitrary order derivative having non-singular kernel, and obtains the solution of the problem by using an iterative method and using the fixed-point theorem.

TL;DR: The delayed two parameters Mittag-Leffler type matrix function is introduced, and an explicit formula of solutions to linear nonhomogeneous fractional delay differential equations via the variation of constants method is given.

TL;DR: The problem of Hopf bifurcation in the newly-proposed complex-valued neural network model is investigated under the assumption that the activation function can be separated into its real and imaginary parts.

TL;DR: This work analyzes the propagation of two representative diseases in the real-world population and their corresponding information on Internet, suggesting the high correlation of the two-type dynamical processes.

TL;DR: Several criteria ensuring the uniform stability of IFDEs with finite or infinite delay are derived by establishing some new Razumikhin conditions, which can be applied to delay systems with persistent impulsive effects.

TL;DR: The aim is to design an optimized slow state feedback controller such that the stability of MJSPSs is guaranteed even in faulty case, and the upper bound of singular perturbation parameter (SPP) ϵ is improved simultaneously.

TL;DR: The results show that mean-reverting process is a well-established way of introducing stochastic environmental noise into biologically realistic population dynamic models.

TL;DR: A novel stochastic switched sampled-data controller with time-varying sampling is developed in the frame of the zero-input strategy and novel synchronization criteria are established to guarantee that DCNNs are synchronous exponentially when the control packet dropout occurs in a random way.

TL;DR: Results show that total utility of Z-number can be used as an index to extend the classical evolutionary games into ones linguistic-based, which is applicable in the real applications since the payoff matrix is always determined by the knowledge of human using uncertain information.

TL;DR: The fundamental purpose of the present paper is to apply an effective numerical algorithm based on the mixture of homotopy analysis technique, Sumudu transform approach and homotopes to obtain the approximate solution of a nonlinear fractional Drinfeld–Sokolov–Wilson equation.

TL;DR: A novel classified neighbors algorithm is proposed to quantify the nodal spreading capability and further to differentiate the influence of various nodes to effectively control the outbreak of epidemics within many real-world systems.

TL;DR: The fractional order model can open up a new window for better understanding the waves in fluid and help comprehending generalization and evolution of Rossby solitary waves in stratified fluid.

TL;DR: An efficient algorithm to construct multi-soliton rational solutions of the Korteweg–de Vries equation with time-dependent coefficients with wider applicability for handling many other nonlinear evolution equations in different branches of science is presented.

TL;DR: An adaptive fuzzy distributed controller is proposed based on adaptive back-stepping control approach and dynamic surface control technique, and it is proved that all the signals in the multi-agent systems are semi-globally uniformly ultimately bounded (SUUB).

TL;DR: Both delay-independent and delay-dependent stochastic bounded real lemmas are developed and sufficient conditions on the existence of the desired dynamic output feedback protocol are presented in the form of linear matrix inequalities.

TL;DR: The priority of this work is to obtain some conditions which ensure the underlying complex dynamical network (CDN) is stochastically synchronized with a stated L 2 -- L ∞ performance level.

TL;DR: This paper systematically compares the ranking similarity and monotonicity under various centrality algorithms over 6 real-world networks and Barabasi-Albert model networks and indicates that the mixed measure of gravitational centrality combining the k − shell value and degree will display the best performance.

TL;DR: This work investigates the relationships between the steplengths of a variety of gradient methods and the spectrum of the Hessian of the objective function, providing insight into the computational effectiveness of the methods, for both quadratic and general unconstrained optimization problems.

TL;DR: Stagnation point flow over a permeable shrinking sheet under the influence of Magnetohydrodynamics is analyzed using Successive linearization method and Chebyshev spectral collocation method and it is found that the present methodology converges more rapidly.

TL;DR: By considering the effect of hybrid triggered scheme and deception attacks, a mathematical model of H∞ filtering error system is constructed and the sufficient conditions that can ensure the stability of filteringerror system are given by using Lyapunov stability theory and linear matrix inequality techniques.

TL;DR: The design of a proportional-derivative state feedback controller (PDSFC) such that the considered singular system is robustly normalizable and all the states of the closed-loop system can be contained by a bounded set under zero initial conditions is considered.

TL;DR: An adaptive finite-time controller is constructed for stochastic nonlinear systems with parametric uncertainties by constructing a tan-type Barrier Lyapunov Function that deals with the finite- time tracking control problem and all the state in the Stochastic systems are not violated.

TL;DR: This paper meets the requirement of a comparison between nature-inspired metaheuristic and deterministic algorithms (more than 125,000 launches of the methods have been performed) and presents an attempt to bring together two rather disjoint communities of meta heuristic and mathematical programming researchers and applied users.

TL;DR: It is found that the second-order free-rider problem can be effectively solved by this regime of resource allocation even when most of contributing resources are equally allocated among individuals.

TL;DR: This paper presents an exploration of the sustainable multi-depot emergency facilities location-routing problem with uncertain information and proposes a hybrid intelligent algorithm that integrates uncertain simulation and a genetic algorithm designed to solve the proposed model.

TL;DR: This paper considers asymptotic synchronization of drive-response memristive neural networks with bounded time-varying discrete delay and unbounded distributed delay (mixed delays), which extends existing intermittent control techniques and reveals new relationship between control width and rest width.

TL;DR: The new version of the backward substitution method (BSM) for simulating transfer in anisotropic and inhomogeneous media governed by linear and fully nonlinear advection–diffusion-reaction equations (ADREs) is presented and is extended to general fully non linear ADREs in combination with the quasilinearization technique.

TL;DR: A class of semi-implicit finite difference weighted essentially non-oscillatory (WENO) schemes for solving the nonlinear heat equation and a sixth-order modified WENO scheme is directly implemented for the discretization of second-order spatial derivatives.

TL;DR: The criteria of IS- KL -stability are established for HDS withIS- KL K 0 -property subsystems via introducing a hybrid dwell time condition, which unifies the often used average dwell-time condition and converse average dwelling time condition.

TL;DR: A procedure for the detection of the contours of thermal bridges from thermographic images, in order to study the energy performance of buildings and an improvement of the parameter defining the thermal bridge is obtained.