Mathematical Methods in Engineering [electronic resource] / edited by K. Taş, J. A. Tenreiro Machado, D. Baleanu.

Fractional Mathematics -- Fractional calculus and regularized residue of infinite dimensional space -- Fractional spaces generated by the positive differential and difference operators in a Banach space -- Sub-diffusion equations of fractional order and their fundamental solutions -- Neutrices and Generalized Functions -- The composition and neutrix composition of distributions -- A review on the products of distributions -- Some remarks on the incomplete gamma function -- Boundary Value Problems -- One-dimensional wave propagation in functionally graded cylindrical layered media -- Piecewise constant control of boundary value problem for linear impulsive differential systems -- On nonlocal boundary value problems for hyperbolic-parabolic equations -- On asymptotical behavior of solution of Riccati equation arising in linear filtering with shifted noises -- Isomorphism classes of ordinary elliptic curves over fields of characteristic 3 -- Hidden symmetries of two dimensional superintegrable systems -- A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities -- Modeling of PDE processes with finite dimensional non-autonomous ODE systems -- On solutions of discrete nonlinear elliptic boundary value problems -- Some exact solutions of the (2 + 1)-dimensional Kadomtsev-Petviashvili equation -- Varadhan estimates without probability: lower bound -- Dirichlet problem for orthotropic bounded cylinder with combined boundary conditions -- A numerical analysis of variational finite difference schemes for steady state heat conduction problems with discontinuous coefficients -- On the solution of a mathematical model of a viscoelastic bar -- Dynamics of wall bounded flow -- Applications of Wavelets -- Wavelet transform for the simultaneous prediction of the colorants in food product -- A review on the wavelet transform applications in analytical chemistry -- Continuous wavelet analysis for the ratio signals of the absorption spectra of binary mixtures -- Improved incremental self-organizing map for the segmentation of ultrasound images -- An application of continuous wavelet transform to electrochemical signals for the quantitative analysis -- The threshold of compression in wavelet transform with Haar’s coefficients - numerical examples -- Dynamical Systems and Control Theory -- 3-D Computerized ionospheric tomography with random field priors -- Comparison of fuzzy and Volterra series nonlinear system modeling approaches -- Novel hardware-oriented algorithms for TDOA positioning technique in cellular networks -- Unknown costs in a duopoly with differentiated products -- Bayesian price leadership -- Comparison of methodologies in river flow prediciton. The Paiva river case -- A XY Spin Chain Models on Space Curves and Analogy with Kirchhoff Rods -- Approximate controllability of one-dimensional SDE driven by countably many Brownian motions -- Synchronization between neuronal spiking activity and sub-threshold sinusoidal stimuli based on the FitzHugh-Nagumo model -- A characterization of the dynamics of Newton’s derivative -- Dissipative solitons and nonlinear resonance dynamics in 2+1 dimensions -- Implementation of floating point arithmetics using an FPGA -- A method for the recovery of the electric field vibration inside vertical inhomogeneous anisotropic dielectrics.