Showing papers in "Applied Mathematics and Computation in 2011"

TL;DR: A new fractional integration is presented, which generalizes the Riemann–Liouville and Hadamard fractional integrals into a single form andSemigroup property for the above operator is proved.

TL;DR: An attempt is made to review the hybrid optimization techniques in which one main algorithm is a well known metaheuristic; particle swarm optimization or PSO and three hybrid PSO algorithms are compared on a test suite of nine conventional benchmark problems.

TL;DR: This modification also avoids solving a sequence of nonlinear algebraic equations for the undetermined coefficients fraught with multiple roots, which is required to complete calculation of the solution by several prior modified recursion schemes using the Adomian decomposition method.

TL;DR: Finite-time boundedness and finite-time weighted L 2 -gain for a class of switched delay systems with time-varying exogenous disturbances are studied and sufficient conditions which guarantee the switched linear system withTime-delay is finite-Time bounded and has finite- time weighted L 1 -gain are given.

TL;DR: It can be seen that not all higher order methods were created equal, namely the basin of attraction of the method and its dependence on the order.

TL;DR: Common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved.

TL;DR: An e-epidemic SEIRS model for the transmission of worms in computer network through vertical transmission is formulated and the behavior of the susceptible, exposed, infected and recovered nodes in the computer network with real parametric values is analyzed.

TL;DR: It is shown that the GAQPSO algorithm is an effective approach that can improve the QPSO performance considerably and is less likely to be stuck in local optima and hence it can achieve better solutions in most cases.

TL;DR: In this paper, a production inventory model is considered for stochastic demand with the effect of inflation and the optimality of the probability functions is discussed.

TL;DR: Four analytic recurrence algorithms for the multivariable Adomian polynomials are presented, comprised of simple, orderly and analyticRecurrence formulas, which do not require time-intensive operations such as expanding, regrouping, parametrization, and so on.

TL;DR: The existence theorems of common fixed points for two weakly increasing mappings satisfying an almost generalized contractive condition in ordered metric spaces are proved.

TL;DR: This paper investigates an analogous generalization of the Genocchi polynomials of higher order, that is, the so-called Apostol–Genocchi hailing from the family of the Apostol type polynomes, and derives some basic properties and formulas and considers some interesting applications to the family.

TL;DR: The steady two-dimensional laminar boundary layer flow of a power-law fluid past a permeable stretching wedge beneath a variable free stream is studied and it is found that dual solutions exist for each value of f0, m and n considered in λ − f″(0) parameter space.

TL;DR: Its direct application is provided and new 1- soliton solutions are obtained and the Sharma–Tasso–Olver equation is analyzed.

TL;DR: The system of difference equations, where the parameters a, b, c, α, β, γ and initial values x −1, x 0, y −1 , y 0 are real numbers, can be solved, considerably improving the results in the literature.

TL;DR: Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained using the Kudryashov method.

TL;DR: An EOQ (Economic Order Quantity) model is developed for a deteriorating item having time dependent demand when delay in payment is permissible and justification for considering a time quadratic demand and permissible delay in Payment are discussed.

TL;DR: A genetic algorithm based clustering method called automatic genetic clustering for unknown K (AGCUK) is developed, which is designed to keep a balance between selection pressure and population diversity.

TL;DR: Wronskian and Grammian formulations are established for a (3 + 1)-dimensional generalized KP equation, based on the Plucker relation and the Jacobi identity for determinants, to generate functions for matrix entries that satisfy a linear system of partial differential equations involving a free parameter.

TL;DR: It is demonstrated that the DTM has high precision and computational efficiency in the vibration analysis of pipes conveying fluid.

TL;DR: By introducing the fractional derivative in the sense of Caputo, the generalized two-dimensional differential transform method (DTM) is directly applied to solve the coupled Burgers equations with space- and time-fractional derivatives.

TL;DR: In this paper, the existence of positive solutions for the nonlinear fractional differential equation boundary value problem was studied and sufficient conditions for the nonexistence and existence of at least one or two positive solutions were established.

TL;DR: The hybrid algorithm that combined particle swarm optimization with simulated annealing behavior (SA-PSO) is proposed and could have higher efficiency, better quality and faster convergence speed than compared algorithms.

TL;DR: The aim of this paper is to demonstrate and quantify some of the most relevant non-Newtonian characteristics of blood flow in medium-sized blood vessels, namely its shear-thinning and viscoelastic behavior.

TL;DR: A new class of Lyapunov functional which contains a triple-integral term is constructed to derive some new delay-dependent stability criteria which is less conservative because free-weighting matrices method and a convex optimization approach are considered.

TL;DR: Some recent results both on discrete fractional boundary value problems and on discrete integer-order boundaryvalue problems are generalized, and the techniques provide new results in each case.

TL;DR: This investigation presents a SVR traffic flow forecasting model which employs the hybrid genetic algorithm-simulated annealing algorithm (GA-SA) to determine its suitable parameter combination and results indicate that the proposed model yields more accurate forecasting results than the seasonal autoregressive integrated moving average (SARIMA), back-propagation neural network (BPNN), Holt– Winters (HW) and seasonal Holt–Winters (SHW) models.

TL;DR: In this paper, an optimal homotopy asymptotic method is applied on singular initial value Lane-Emden type problems to check the effectiveness and performance of the method.

TL;DR: While the result is natural for the first system, the behaviour of their solutions as n → ∞ is a bit surprising for the other two systems.

TL;DR: The dynamics of a delayed predator–prey system in the presence of harvesting in a modified version of the Leslie–Gower and Holling-type II scheme is analyzed in terms of local stability, global stability, influence of harvesting and bifurcation.