Showing papers in "Applied Mathematics and Computation in 2015"

TL;DR: By noncompact measure method, some sufficient conditions are obtained to ensure the existence of mild solution of evolution equation with Hilfer fractional derivative which generalized the famous Riemann-Liouville fractional derivatives.

TL;DR: A new analogue of Bernstein operators is introduced and it is called as (p, q)-Bernstein operators which is a generalization of q-Bernstein Operators, and approximation properties based on Korovkin's type approximation theorem are studied.

TL;DR: In this paper, an inertial Douglas-Rachford splitting algorithm was proposed for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces.

TL;DR: This paper proves the uniqueness and continuous dependency on initial values and source terms, from which the Lipschitz continuous dependency of solutions with respect to coefficients and orders of fractional derivatives is verified.

TL;DR: A concise but comprehensive overview of firefly algorithms that are enhanced with chaotic maps is presented, to describe in detail the advantages and pitfalls of the many different chaotic maps, as well as to outline promising avenues and open problems for future research.

TL;DR: There is an optimal volume fraction of the nano-particles at each Rayleigh number in which the maximum heat transfer rate can be obtained and at low Rayleigh numbers the particle distribution is fairly non-uniform while at high Ra, particle distribution remains almost uniform.

TL;DR: The impulsive time dependent results are derived for the exponential stability of the error system, which guarantees the exponential synchronization of the BAM model by means of master-slave synchronization concept.

TL;DR: This work presents a particle swarm optimization with limited information, which provides each particle adequate information yet avoids the waste of information and outperforms both canonical PSO and fully informed PSO, especially for multimodal test functions.

TL;DR: This paper proposes a novel dynamic S-type soft-threshold penalty method, which is mainly comprised of two steps: parameter iteration and solution iteration, to solve generalized constrained optimization problems, particularly for structure design optimization problems.

TL;DR: Using quantum analogue of classical integral identity, some quantum estimates for Hermite-Hadamard inequalities for q-differentiable convex functions and q- differentiable quasi conveX functions are derived.

TL;DR: Basic properties of Hilfer fractional calculus and fixed point methods are utilized to derive three fundamental existence results in the weighted space of continuous functions.

TL;DR: This paper deals with a concept and description of a RC network as an electro-analog model of diffusion process which enables to simulate heat dissipation under different initial and boundary conditions based on well-known analogy between heat and electrical conduction.

TL;DR: A polarity analysis framework for Twitter messages is proposed, which combines both approaches and an automatic contextual module, providing high accuracy levels and low false positive rates.

TL;DR: The results show that both organization involvement and supplier management are causes, and organization involvement is the most critical dimension in GSCM.

TL;DR: In this article, a new analogue of Bernstein-Stancu operators based on (p, q)-integers is introduced, which they call as (p and q)-Bernstein Stancu operator.

TL;DR: It is shown that the Chen and the Lu systems stimulate the development of new methods for the analysis of chaotic systems, and the differences and similarities in the analysis are discussed.

TL;DR: This work uses a variable strategy for step size setting to remedy the defect in standard firefly algorithm, which results in the algorithm easily getting trapped in the local optima and causing low precision.

TL;DR: A relatively new analytic iterative technique for solving time-space-fractional linear partial differential equations subject to given constraints conditions based on the generalized Taylor series formula is implemented.

TL;DR: Some new quantum analogues of Hermite-Hadamard and Iyengar type inequalities for some classes of preinvex functions are obtained.

TL;DR: Steady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically and it is shown that these parameters have substantial effects on the flow and heat transfer characteristics.

TL;DR: This paper explores the element-free IMLS-Ritz method for computation of vibration solution of thick functionally graded carbon nanotube-reinforced composite plates resting on elastic foundations and investigates the effects of CNT volume fraction, CNT distribution, plate thickness-to-width ratio, and plate aspect ratio under different boundary conditions.

TL;DR: This paper systematically study the existence of positive solutions of an abstract fractional semipositone differential system involving integral boundary conditions arising from the study of HIV infection models by using the fixed point theorem in cone.

TL;DR: Two degree based topological indices, the atom-bond connectivity (ABC) and the geometric-arithmetic (GA) indices of fullerene networks and carbon nanotube networks are studied.

TL;DR: Two existence results of PC-mild solutions of impulsive fractional differential inclusions with nonlocal conditions when the linear part is a fractional sectorial operators like in Bajlekova (2001) 1 on Banach spaces are derived.

TL;DR: Based on these properties of the first eigenvalue of a fractional differential equation, the fixed point index of the nonlinear operator is calculated explicitly and some sufficient conditions for the existence of positive solutions are established.

TL;DR: The results reveal that the new fractional expansion is very effective, straightforward, and powerful for formulating the exact solutions in the form of a rapidly convergent series with easily computable components.

TL;DR: In this study, the retailer's decision for ordering and credit policies is analyzed when a supplier offers its retailer either a cash discount or a fixed credit period if the order quantity is greater than or equal to regular order policy.

TL;DR: The effects of variable thickness, hydromagnetic flow, Brownian motion, heat generation, on heat transfer characteristics and mechanical properties of a moving surface embedded into cooling medium consists of water with nano-particles are studied.

TL;DR: This paper deals with the problem of mixed H ∞ /passive synchronization for complex dynamical networks (CDNs) with time-varying delayed couplings via a sampled-data control scheme by using some new tools to deal with the Lyapunov functional and an explicit expression for the desired controller is given.