Showing papers in "Applied Mathematics and Computation in 2016"

TL;DR: Experimental results indicate that the proposed approach to solving the constrained optimization problems may yield better solutions to engineering problems than those obtained by using current algorithms.

TL;DR: This paper presented useful tools about the new derivative and applied it to the nonlinear Fisher's reaction-diffusion equation and the solution of the modified equation was presented using the notion of iterative method.

TL;DR: The results indicate that the normal internal ribs or turbulators, can significantly enhance the convective heat transfer within a microchannel and illustrate that by increasing the rib's heights and volume fraction of nanoparticles, friction coefficient, heat transfer rate and average Nusselt number of the ribbed-microchannels tend to augment.

TL;DR: Experimental results based on different scales of DLRP instances demonstrate that the clustering algorithm can significantly improve the performance of KACO in terms of the qualities and robustness of solutions.

TL;DR: A size dependent finite element model is developed and nonlocal elasticity theory is used for solution of nonlocal differential equation of microtubules for elastic stability.

TL;DR: By using the Kudryashov method, new conformable fractional derivative is applied for converting fractional coupled nonlinear Schrodinger equations into the ordinary differential equations and new traveling wave solutions are extracted.

TL;DR: The hyper-Zagreb index, first multiple Zag Croatia index, second multiple ZAGreb index and Zagreb polynomials for some nanostar dendrimers are determined.

TL;DR: The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.

TL;DR: This work designs an arbitrary high order accurate nodal discontinuous Galerkin spectral element type method for the one dimensional shallow water equations and proves that the surface fluxes, the skew-symmetric volume integrals, and the source term are well balanced.

TL;DR: The easy-to-test stability criteria established in this paper depend on the leakage delay as well as the reaction-diffusion terms, which is more reasonable than the existing stability criteria.

TL;DR: A new iterative algorithm to approximate fixed point of Suzuki's generalized nonexpansive mappings is proposed and some weak and strong convergence theorems in a uniformly convex Banach space are established.

TL;DR: A mode-dependent average dwell-time (MDADT) approach, which means that each subsystem has its own average dwell time, is adopted in this paper to reduce the conservativeness of theaverage dwell time method.

TL;DR: This paper characterize the graph having the minimum Kf(G) values among graphs with a fixed number n of vertices and fixed vertex bipartiteness, 1 ź v b ź n - 3 .

TL;DR: Oscillatory behavior of a class of nonlinear second-order neutral differential equations is studied and a new criterion is established that amends related results reported in the literature.

TL;DR: Based on drive-response system concept, differential inclusions theory and Lyapunov stability theory, some sufficient conditions are obtained to guarantee the reliable asymptotic anti-synchronization criterion for memristor-based BAM networks.

TL;DR: A novel 3-D nonlinear finance chaotic system consisting of two nonlinearities is presented and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.

TL;DR: An efficient and accurate computational method based on the Legendre wavelets (LWs) is proposed for solving a class of fractional optimal control problems (FOCPs) and reveals that the proposed method is very accurate and efficient.

TL;DR: It is proved that the solutions obtained in 8-25,27,30,31 are not correct; the right form of the solutions to linear fractional impulsive evolution equations with order 0 < α < 1 and 1 <α < 2, respectively are presented; and it is shown that the reason that the Solutions to an impulsive ordinary evolution equation are not distinct.

TL;DR: Based on the Lyapunov stability theory, stochastic analysis theory and linear matrix inequalities(LMI), the sufficient conditions are derived to guarantee the mean square exponential cluster synchronization of a class complex networks with nonlinear hybrid time-varying delays and Stochastic noises via periodically intermittent pinning control.

TL;DR: Using Lyapunov stability theory, sufficient conditions are derived to guarantee the stochastic stability of the sliding mode dynamics and the reachability of sliding mode surface can be guaranteed by the adaptive sliding mode controller.

TL;DR: A new LMI-based approach is developed for designing non-fragile observer-based H ∞ controllers without imposing any constraints on the system matrices and a stochastic bounded real lemma is established.

TL;DR: The aim of the present analysis is to implement a relatively recent computational method, reproducing kernel Hilbert space, for obtaining the solutions for systems of second-order differential equations with periodic boundary conditions.

TL;DR: This paper considers the finite-time H ∞ static output feedback control of Markov jump systems by introducing two new variables related to the original system state and output in terms of linear matrix inequalities (LMIs).

TL;DR: The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model with cell-mediated immune responses and direct cell-to-cell transmission mechanism and to prove the effectiveness of the theoretical results for sharp threshold property.

TL;DR: It is theoretically shown that the newly derived inequalities in this paper encompass both the Jensen inequality and its most recent improvement based on Wirtinger's integral inequality.

TL;DR: An effective method is presented to succinctly derive the bilinear formalism of the (3+1)-dimensional generalized KdV-like model equation, based on which, the soliton solutions and periodic wave solutions are constructed by using Riemann theta function.

TL;DR: The spectra of the normalized Laplacian of iterated triangulations of a generic simple connected graph are determined and closed-forms for their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees are found.

TL;DR: This work studies the first and second Zagreb indices of four operations on graphs, which are equal to the sum of squares of the degrees of vertices of a (molecular) graph.

TL;DR: The numerical results of the method are compared with some existing methods and it is found that the proposed numerical method produces more accurate results than existing methods.

TL;DR: The Kudryashov-Sinelshchikov equation, which describes influence of viscosity and heat transfer on propagation of the pressure waves, is investigated and a kind of explicit power series solutions for the equation are well constructed with a detailed derivation.