Mathematical Methods in Engineering Book

Preface ix

Fractional mathematics

Fractional calculus and regularized residue of infinite dimensional space Asada Akira 3

Fractional spaces generated by the positive differential and difference operators in a Banach space Allaberen Ashyralyev 13

Sub-diffusion equations of fractional order and their fundamental solutions Francesco Mainardi Antonio Mura Gianni Pagnini Rudolf Gorenflo 23

Neutrices and generalized functions

The composition and neutrix composition of distributions Brian Fisher 59

A review on the products of distributions C.K. Li 71

Some remarks on the incomplete gamma function Emin Ozgag Inci Ege Hamet Gurcay Biljana Jolevska-Tuneska 97

Boundary value problems

Ibrahim Abu-Alshaikh 111

Piecewise constant control of boundary value problem for linear impulsive differential systems J.O. Alzabut 123

On nonlocal boundary value problems for hyperbolic-parabolic equations Allaberen Ashyralyev Yildirim Ozdemir 131

On asymptotical behavior of noises solution of Riccati equation arising in linear filtering with shifted noises Agamirza E. Bashirov Zeka Mazhar 141

Isomorphism classes of ordinary elliptic curves over fields of characteristic 3 Murat Cenk Ferruh Ozbudak 151

Hidden symmetries of two dimensional superintegrable systems Ozlem Defterli Dumitru Baleanu 159

A fourth order accurate difference-analytical method for solving Laplace's boundary value problem with singularities A.A. Dosiyev S. Cival Buranay 167

Modeling of PDE processes with finite dimensional non-autonomous ODE systems Mehmet Onder Efe 177

On solutions of discrete nonlinear elliptic boundary value problems Gusein SH. Guseinov 189

Some exact solutions of the (2 + 1)-dimensionalKadomtsev-Petviashvili equation E. V. Krishnan 197

Varadhan estimates without probability: lower bound Remi Leandre 205

Dirichlet problem for orthotropic bounded cylinder with combined boundary conditions Raid Al-Momani Khalid Al-Momani 217

A numerical analysis of variational finite difference schemes for steady state heat conduction problems with discontinuous coefficients Ebru Ozbilge 223

On the solution of a mathematical model of a viscoelastic bar Arpad Takaci Djurdjica Takaci 233

Ozan Tugluk Hakan I. Tarman 243

Applications of wavelets

Wavelet transform for the simultaneous prediction of the colorants in food product Hakan A. Akta Erdal Dinc Guzide Pekcan Ozgur Ustundag Aysegul Tas 257

A review on the wavelet transform applications in analytical chemistry Erdal Dinc Dumitru Baleanu 265

Continuous wavelet analysis for the ratio signals of the absorption spectra of binary mixtures Erdal Dinc Dumitru Baleanu Kenan Tas 285

Improved incremental self-organizing map for the segmentation of ultrasound images Zafer Iscan Zumray Dokur Tamer Olmez 293

An application of continuous wavelet transform to electrochemical signals for the quantitative analysis Incilay Suslu Erdal Dinc Sacide Altindz 303

The threshold of compression in wavelet transform with Haar's coefficients - numerical examples Zlatko Udovicic 315

Dynamical systems and control theory

3-D Computerized ionospheric tomography with random field priors Orhan Arikan Feza Arikan Cemil B. Erol 325

Comparison of fuzzy and Volterra series nonlinear system modeling approaches Musa H. Asyali Musa Aid 335

Novel hardware-oriented algorithms for TDOA positioning technique in cellular networks E. Doukhnitch M. Salamah A. Sandouka 347

Fernanda A. Ferreira Fldvio Ferreira Alberto A. Pinto 359

Bayesian price leadership Fernanda A. Ferreira Fldvio Ferreira Alberto A. Pinto 371

Comparison of methodologies in river now prediciton. The Paiva river case Rui Gongalves Alberto Pinto Francisco Calheiros 381

A XY spin chain models on space curves and analogy with Kirchhoff rods Georgi G. Grahovski Rossen Dandoloff 391

Approximate controllability of one-dimensional SDE driven by countably many Brownian motions N.I. Mahmudov M.M. Matar 403

Synchronization between neuronal spiking activity and sub-threshold sinusoidal stimuli based on the FitzHugh-Nagurno model Mahmut Ozer Muhammet Uzuntarla 415

A characterization of the dynamics of Newton's derivative Mehmet Ozer A. Valaristos Yasar Polatoglu Gursel Hacibekiroglu Antanas Cenys A.N. Anagnostopoulos 423

Dissipative solitons and nonlinear resonance dynamics in 2+1 dimensions Oktay Pashaev 435

Implementation of floating point arithmetics using an FPGA Suhap Sahin Adnan Kavak Yasar Becerikli H. Engin Demiray 445

A method for the recovery of the electric field vibration inside vertical inhomogeneous anisotropic dielectrics Valery Yakhno Ali Sevimlican 455

Author index 467