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Mathematical Methods in Engineering

Part of the Nonlinear Systems and Complexity Book Series (volume 24)

Editors: Taş, Kenan; Baleanu, Dumitru; Machado, J. A. Tenreiro

DOI: 10.1007/978-3-319-90972-1

ISBN: 978-3-319-90971-4

Publisher: Springer International Publishing - Springer Journals

Aug 2, 2018

1 - 10 of 15 Chapters

LitStream

New Solutions of the Functional Equations and Their Possible Application in Treatment of Complex Systems

Nigmatullin, R. R.; Nougmanov, B. N.

Pages: 3 –24

[In this paper we want to show some original solutions of the functional equations that can be considered as a main “bridge” connecting the fractional calculus with fractal geometry. This bridge should justify a wide application of the fractional calculus in many important applications and, from...
LitStream

Empirical Copula in the Detection of Batch Effects

Ağraz, Melih; Purutçuoğlu, Vilda

Pages: 25 –39

[The activation of the complex biological systems is presented by different mathematical expressions, called models, under various assumptions. One of the common modeling types in this description is the steady-state approach. In this description, we assume that the stochastic behavior of the...
LitStream

Finite Element Method for Schnakenberg Model

Hepson, Ozlem Ersoy; Dag, Idris

Pages: 41 –51

[In the study, solution of an initial boundary value problem for the Schnakenberg reaction-diffusion model is considered in numerical meaning. The approximate solution is assumed to be a finite series, some of exponential form of the cubic B-spline basis. After adapting the boundary data, the...
LitStream

Fault-Tolerant Control of the (13C) Isotope Separation Cascade

Dulf, Eva-H.; Muresan, Cristina-I.; Ionescu, Clara M.

Pages: 53 –65

[The (13C) isotope separation cascade – from control engineering point of view – is a multivariable, distributed, nonlinear system, with strong interactions between the subsystems. Being a complex chemical plant, a robust, fault-tolerant control is needed. The present paper discusses the idea to...
LitStream

Power Series Transform in Cryptology and ASCII

Gençoğlu, Muharrem Tuncay; Baleanu, Dumitru

Pages: 67 –74

[This chapter introduces a different cryptographic method that uses power series transform and ASCII codes. We produce a new algorithm for cryptology, use an expanded Laplace transformation of the exponential function for encrypting plain text, and use ASCII codes to support the confidentiality...
LitStream

The General Form of Maximally Accretive Quasi-differential Operators for First Order

Ipek, Pembe; Ismailov, Zameddin I.

Pages: 75 –86

[In this work, firstly all maximally accretive extensions of the minimal operator generated by first-order linear symmetric multipoint quasi-differential operator expression in the direct sum of weighted Hilbert spaces of vector-functions defined at the left and right semi-infinite intervals are...
LitStream

Modeling of Biochemical Networks via Classification and Regression Tree Methods

Seçilmiş, Deniz; Purutçuoğlu, Vilda

Pages: 87 –102

[In the description of biological networks, a number of modeling approaches has been suggested based on different assumptions. The major problems in these models and their associated inference approaches are the complexity of biological systems, resulting in high number of model parameters, few...
LitStream

Solving the Nonlinear System of Third-Order Boundary Value Problems

Akgül, Ali; Akgül, Esra Karatas; Khan, Yasir; Baleanu, Dumitru

Pages: 103 –119

[We apply the reproducing kernel method to nonlinear systems of third-order boundary value problems. We have obtained meaningful results. We demonstrate these results by figures. This method is an efficient method for solving nonlinear systems.]
LitStream

CG-Lasso Estimator for Multivariate Adaptive Regression Spline

Taylan, Pakize; Weber, Gerhard Wilhelm

Pages: 121 –136

[Multivariate adaptive regression spline (MARS) denotes a modern methodology from statistical learning which is important in both classification and regression. It is very useful for high-dimensional problems and shows a great promise for fitting nonlinear multivariate functions by using its...
LitStream

Multiscale Characterization and Model for the Dynamic Behavior of Ferroelectric Materials Using Fractional Operators

Ducharne, Benjamin; Litak, Grzegorz; Zhang, Bin; Gupta, Bhaawan

Pages: 139 –152

[Fractional operators are well adapted to model dynamic dielectric losses of ferroelectric materials. Where usual integer derivative operators are always limited to a relatively weak frequency bandwidth, an approach based on fractional derivatives provides good simulation results even beyond...

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