CONTENTS

 

Article ID

 

Multiple-Periodicity Diagnosis of Nonlinear Dynamic Systems with Employment of Periodicity Ratio 

8

L. Dai,  L. Han

 

 

Localized Activity States for Neuronal Field Equations of Feature Selectivity in a Stimulus Space with Toroidal Topology

10

Evan C Haskell, Vehbi E Paksoy

 

 

Transfer Energy in the Hybrid System Non-linear Dynamics

4

Katica R. (Stevanovic) Hedrih

 

 

Phase Trajectory Portrait of the Vibro-impact Forced Dynamics of Two Heavy Mass Particles Motions Along Rough Cyrcle

5

Katica (Stevanovic) Hedrih, Vladimir Raicevic, Srdjan Jovic

 

 

Defect Structure by Homotopy Perturbation Method

1

B. Khabiri, A. R. Amani, M. Kazeminavaei

 

 

An Alternative Approach to Chaos in a Pendulum with Periodic Excitation

9

Chunqing Lu  

 

 

Complex Analytic Flows

2

Constantin Udriste, Romeo Bercia

 

 

Synchronization Analysis for Two Coupled Populations of Phase Oscillators

6

Yongqing Wu, Changpin Li, Weigang Sun, Yujiang Wu

 

 

Analysis of Nonlinear Dynamics on the Approximate Inertial Manifolds of Burgers Equation

3

Jia-Zhong Zhang, Yan Liu,  Pei-Hua Feng

 

 

Euler-Lagrange Equations for the Caputo Fractional Derivative

20

Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres

 

 

Fractional Exact Solutions and Solitons in Gravity

21

Dumitru Baleanu, Sergiu I. Vacaru

 

 

A Combined Discrete Fractional Sum Operator

12

Nuno R. O. Bastos, Delfim F. M. Torres

 

 

Optimal Tuning Method for Fractional PI Controller Based on Diffusive Representation

24

B. Boudjehem, Dj. Boudjehem, H. Tebbikh 

 

 

The Use of Fractional Order Models in Predictive Control

25

Djalil Boudjehem,Badreddine Boudjehem

 

 

Fractional Relaxation of Dielectric Materials: Adomian Decomposition Method

23

M. S. Çavuş, S. Bozdemir

 

 

Stationary States for Anomalous Diffusion

15

Bartlomiej Dybiec, Igor M. Sokolov, Aleksei V. Chechkin

 

 

Fractional Standard Map: Riemann-Liouville vs. Caputo

16

M. Edelman

 

Application of MHPM to an Optimization Problem Governed by Fractional Order Differential Equations

  

34

Fırat Evirgen, Necati Özdemir

 

 

Fractal Analysis to Quantify Wind Speed Fluctuations

14

S. Harrouni 

 

 

Fractional Optimal Control of a Hollow Cylindrical Structure

18

Md. Mehedi Hasan, X.W. Tangpong, O.P. Agrawal

 

 

Sequential Fractional Differential Equations with Hadamard Derivative

36

M. Klimek 

 

 

Fractional Dynamics of a System with Particles Subjected to Impacts

29

J. A. Tenreiro Machado

 

 

Fractional Variational Calculus for Nondifferentiable Functions: Generalized Natural Boundary Conditions

19

Agnieszka B. Malinowska

 

 

Schrödinger Equation in Fractional Space

32

Sami I. Muslih, Om P. Agrawal

 

 

Solutions of Wave Equation in Fractional Dimensional Space

33

Sami I. Muslih, Om P. Agrawal

 

 

Fractional Cauchy Problems on Bounded Domains: Survey of Recent Results

27

Erkan Nane  

 

 

The Power Functions and Their Fourier Transforms

11

Manuel D. Ortigueira, Richard Magin

 

 

Generalized GL, Caputo, and Riemann-Liouville Derivatives for Analytic Functions

17

Manuel D. Ortigueira, Luis rodriguez-Germa, Juan J. Trujillo

 

 

  Formulation of A Space-Time Fractional Anomalous Diffusion Problem in Two Dimensional Space

35

Necati Özdemir, Derya Avcı

 

 

A Generalized Gronwall Inequality and its Application to Fractional Differential Equations with Hadamard Derivatives

26

Deliang Qian, Ziqing Gong, Changpin Li

 

 

Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller

13

E. G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi, S. Momani

 

 

Robust Synchronization and Parameter Identification of Fractional-Order Unified Chaotic System

30

E. G. Razmjou, A. Ranjbar, Z. Rahmani, R. Ghaderi

 

 

Generalization of Hodgkin and Huxley Model Using Fractional Derivatives

28

Hany H. Sherief, A.M.A. El-Sayed Second, S.H. Behiry, W.E. Raslan

 

 

Truncated Levy Statistics for Transport in Disordered Semiconductors

31

Renat T. Sibatov, Vladimir V. Uchaikin

 

 

Front Propagation in an A+B → 2A Reaction Under Subdiffusion

22

I.M. Sokolov, D. Froemberg

 

 

Speckle Filtering in Radar Polarimetric Images by Wavelet Transform in Complex Domain

37

S. Boutarfa, L. Bouchemakh, Y. Smara

 

Fractional Factor Analysis Wavelet Transforms for the Simultaneous Spectral Analysis of a Binary Mixture System

 

38

Erdal Dinç, Eda Büker, Dumitru Baleanu

 

 

A DFT Study on the Minimum Energy Configurations and Stabilities for Cationic Boron Clusters Bn (n =2 - 13)

 

40

Nurten Akman, Murat Tas, Cem Özdoğan, Ihsan Boustani, Ziya B. Güvenç

 

 

Effect of Vacancy Defect on Natural Vibration of Single Walled Carbon Nanotube as Ultrahigh Nanoresonators

39

Mojtaba Amjadipour, Ardeshir Karami Mohammadi,

 

 

DFT Study of Neutral B12Hn (n<=12), AlB12Hn (n<=13) Clusters and Charged Clusters of [B12H12]q, [AlB12H12]q, [AlB12H13]q (q = ±1, ±2)

44

Mustafa Böyükata, Ziya B. Güvenç

 

 

Factor Analysis for the Characterization of the Nano-Surface of the Nitroazobenzene-Modified Glassy Carbon Electrode  

41

Erdal Dinç,  Dumitru Baleanu, Ali Osman Solak, Haslet Ekşi, Remziye Güzel

 

 

H(D) → D(H) + Cu(111) Collision System: Molecular Dynamics Study of Surface Temperature Effects

45

Can D. Vurdu, Ziya B. Güvenç

 

 

Low-Energy Impact Dynamics in the Earth – Moon System

50

Elisa Maria Alessi, Gerard Gomez , Josep J. Masdemont

 

 

A Cartographic Study of the Phase Space of the Restricted Three Body Problem

46

C. Galeş  

 

 

Efficient Invariant-Manifold, Low-Thrust Planar Trajectories to the Moon

48

Giorgio Mingotti, Francesco Topputo, Franco Bernelli-Zazzera

 

 

On the Mechanisms of Natural Transport in the Solar System

47

Yuan Ren, Josep J. Masdemont, Gerard Gomez, Elena Fantino

 

 

The Prevalence of Each CR3BP in the Approximation of the Bicircular Model

51

Castelli Roberto

 

 

Spacecraft Formations Reconfiguration using Finite Element Methodology with Adaptive Remeshing

52

Laura Garcia-Taberner, Josep J. Masdemont

 

 

Earth-to-Halo Transfers in the Sun–Earth–Moon Scenario

49

Anna Zanzottera, Giorgio Mingotti, Roberto Castelli, Michael Dellnitz

 

 

Evidence of the Wave Phase Coherence for Freak Wave Events

53

Alexey V. Slunyaev  

 

 

Biological Impact of Ocean Transport: A Finite-Size Lyapunov Characterization

54

E. Hernandez-Garcia, J.H. Bettencourt, V. Garçon, I. Hernandez-Carrasco, C. L opez, V. Rossi,  J. Sudre, E. Tew Kai

 

 

Exciton-Phonon Dynamics with Long-Range Interaction

55

Nick Laskin

 

 

Pinning and Mode-Locking of Reaction Fronts by Vortices

56

Garrett M. O’Malley, Matthew S. Paoletti, Mollie E. Schwartz, Thomas H. Solomon

 

 

Existence of Quasi-stationary States at the Long Range Tresholds

 

57

Alessio Turchi, Duccio Fanelli, Xavier Leoncini

 

  

Expectation Maximization Clustering Algorithm for Use in Estimating Projects Costs

62

M. Bouabaz,  M. Belachia, M. Mordjaoui, B. Boudjema

 

 

Magnetic Hysteresis Modeling from Measured Data Using Fuzzy Logic

65

B. Boudjema, M. Mordjaoui, M. Bouabaz, R. Daira

 

 

Quantum Mechanical Treatment of the Lamb Shift without Taken into Account the Electric Charge

63

Voicu Dolocan, Andrei Dolocan, Voicu Octavian Dolocan

 

 

Application of Ranking Function to Solve Fuzzy Location-Routing Problem

61

Azizollah Jafari, Farhaneh Golozari

 

 

The Rational Matrices

58

Hasan Keles 

 

 

A Fast Dynamic Model for a Hexa-Type Parallel Manipulator

59

António M. Lopes  

 

 

Monitoring Techniques of Induction Motors Faults

60

A.Medoued,  A.Lebaroud, A.Boukadoum

 

 

Fault Monitoring Breakage of Rotor Bars of Induction Machine

66

A. Metatla,  S. Benzahioul, T. Bahi  

 

 

Short Term Electric Load Forecasting Using Neuro-Fuzzy Modeling for Nonlinear System Identification

64

M. Mordjaoui, B. Boudjema, M. Bouabaz, R. Daira

 

 

Gait Transition in a Central Pattern Generator for Bipeds

67

A.P. Santos, C.M.A. Pinto

 

 

Madelung Representation and Exactly Solvable Schrödinger-Burgers Equations with Variable Parameters

68

Şirin A. Büyükaşık , Oktay K. Pashaev

 

 

On the Eigenvalues of a Non-Hermitian Hamiltonian

73

Ebru Ergun  

 

 

Integration of the Finite Toda Lattice with Complex-Valued Initial Data

74

Aydin Huseynov, Gusein Sh. Guseinov

 

 

Numerical Tests In Histopolation By Rational Spline

71

Yousef Jafarzadeh  

 

 

Multidimensional Scaling Analysis of Stock Market Values

72

J. Tenreiro Machado, Fernando B. Duarte, Gonçalo Monteiro Duarte   

 

 

C-Integrable q-Burgers Type Equation and Exact Solutions

70

Sengul Nalci, Oktay Pashaev

 

 

Resonant Solitons and Integrable Non-Madelung Fluid Systems

69

Oktay K. Pashaev 

 

 

Licensing in a Foreign Competition with Differentiated Goods

75

Fernanda A. Ferreira  

 

 

Desirable Role in an International Market with Uncertainty

 

76

Fernanda A. Ferreira, Flavio Ferreira

 

 

Uncertainty in a Mixed Duopoly with Quadratic Costs

77

Fernanda A. Ferreira, Flavio Ferreira

 

 

 

Leakage Detection and Location in Gas Pipelines Through an LPV Identification Approach

 

 

78

P. Lopes dos Santos, T-P Azevedo-Perdicoulis, G. Jank, J. A. Ramos, J. L. Martins de Carvalho

 

 

Adaptive Synchronization in Chaotic Secure Communication Systems Using Chua’s Circuit

 

79

Abolhassan Razminia, Kambiz Razminia, Alireza Nemati, Gholamreza Bazdar

 

 

Unsteady MHD flow past a stretching sheet due to a heat source/sink

83

A. K. Banerjeea, A. Vanav Kumara, V. Kumaran

 

Theoretical Prediction of EOS in Binary Mixtures

 

81

S.M. Motevalli, M.R. Pahlavani, M. Azimi

 

 

Spreading of Fluids on Solids Under Pressure: Effect of Slip

80

Soma Nag, Tapati Dutta, Sujata Tarafdar

 

 

Pressure in MHD/Brinkman Flow Past a Stretching Sheet

82

R. Tamizharasi, V. Kumaran

 

 

Why Does the Spread Predict Inflation and Real Economic Activity: Evidence from Turkey?

84

Tolga Omay

 

 

New Perturbation-Iteration Solutions For Bratu-Type Equations

90

Yiğit Aksoy, Mehmet Pakdemirli, Hakan Boyacı

 

 

Similarity and Traveling Wave Solutions for a K(m, n) Equation

85

M.S. Bruzon,  M.L. Gandarias

 

 

Conservation Laws for a Subclass of Self-Adjoint Third Order Equations

86

M.L. Gandarias, M.S.Bruzon

 

 

Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations

89

Ünal Göktaş, Willy Hereman

 

 λ Symmetries and Linearization of Ordinary Differential Equations Through Nonlocal Transformations

88

C. Muriel, J. L. Romero

 

 

Dynamical Symmetries of Second Order ODE

91

M.I.Timoshin 

 

 

New Approach for Consideration of Adsorption/Desorption Data

92

Mihaela-Cristina Baleanu, Raoul R.Nigmatullin, Salih Okur, Kasim Ocakoglu 

 

 

Calculation of a Static Potential Created by Plane Fractal Cluster

93

Raoul R. Nigmatullin, Alexander P. Alekhin

 

 

Modern Tools for the Time-Discrete Dynamics and Optimization of Gene-Environment Networks

99

Ozlem Defterli, Armin Fügenschuh, Gerhard Wilhelm Weber

 

 

Determining the Climate Zones of Turkey by Center-Based Clustering Methods

 

96

Fidan M. Fahmi, Elçin Kartal, Cem İyigün, Murat Türkeş,  Ceylan Yozgatlıgil, Vilda Purutcuoğlu, İnci Batmaz, Gülser Köksal

 

RCMARS: Robustification of CMARS with Different Scenarios under Polyhedral Uncertainty Set

 

97

Ayşe Özmen, Gerhard Wilhelm Weber, İnci Batmaz, Erik Kropat

 

  

A Fuzzy Multi-Objective Mixed Integer Programming Model for Multi Echelon Supply Chain Network Design and Optimization

98

Turan Paksoy, Nimet Yapıcı Pehlivan, Eren Özceylan

 

 

Second Order Nonlinear Electromagnetic Interactions in Nanoscale Ferroelectric Thin Films on Metal Substrates

 

94

Jeffrey F. Webb  

 

 

Why You Should Consider Nature-Inspired Optimization Methods in Financial Mathematics

95

A. Egemen Yilmaz, Gerhard-Wilhelm Weber

 

 

Quintom Model with the Double and Triple-Sine-Gordon Potentials

124

A. R. Amani, M. Kazeminavaei, B. Khabiri 

 

 

The Mechanical Properties of CaX6 (X=B and C)

116

Sezgin Aydın, Mehmet Şimşek

 

 

Parameters Identifcation of the Langmuir Model for Adsorption and Desorption Kinetic Data

114

Dumitru Baleanu, Yeliz Yolcu Okur, Salih Okur, Kasim Ocakoglu

 

 

Approximate Polynomial Solution of a Nonlinear Differential Equation Using a Taylor-Type Method

103

Constantin Bota, Bogdan Caruntu, Liviu Bereteu 

 

 

Hybrid Adaptive Control of a Dragonfly Model

100

Micael S. Couceiro, N. M. Fonseca Ferreira, J. A. Tenreiro Machado

 

 

Adaptive Active Sliding Mode Control for Two-Degree of Freedom Polar Robot

120

H. Delavari, M. R. Faieghi, D. Baleanu 

 

 

PIλDμ  Control via Neural Networks

104

Mehmet Önder Efe

 

 

Backstepping Control Technique for Fractional Order Systems

105

Mehmet Önder Efe

 

 

On Vector Equilibrium Problems

106

Ali Farajzadeh  

 

 

On Generalized Quasi-Eigenvector Problems

107

Ali Farajzadeh, Azadeh. Hoseinpour

 

 

Hamiltonian Structure of the Magnetic Field Lines

121

Ali Khalili Golmankhaneh, Seyed Masoud Jazayeri, Dumitru Baleanu 

 

 

Weyl's Limit Point and Limit Circle Cases for a Dynamic Equation on Time Scales

108

Adil Huseynov  

 

 

Saffman-Taylor Instability in Laponite and Mud

 

115

N. Maleki-Jirsaraei, M. Erfani, F. Ghane-Golmohamadi, R. Ghane-Motlagh, S. Rouhani

 

 

Convergence of the SUTN Approach of C0 Semigroups for Steady State with the Total Cross Section and Scattering Kernel Not Depending on the Spatial Variable

122

Abdelouahab Kadem, Dumitru Baleanu

 

 

Remarks on Suzuki (C)-Condition

101

Erdal Karapınar  

 

 

Thermodynamic and Computational Study of Acidic Dissociation Constants of Glycylglycine in Water at Different Temperatures Using Ab Initio Methods

119

Farhoush Kiani, Abbas Ali Rostami, Sasan Sharifi, Azar Bahadori 

 

 

 

Analysis of Four Element Chua Circuit Containing New Passive Component “Memristor”

 

 

113

Muhammet Koksal, Serdar E. Hamamci

 

 

Autonomous Waste Sorter Design Project

118

Ahmet Mavus, Sinem Gozde Defterli, Erman Cagan Ozdemir

 

 

Effects of Suspended Sediment on the Structure of Turbulent Boundary Layer

 

109

H.P.Mazumdar, S. Bhattacharya, B.C.Mandal

 

 

Analytical Solution of the Blaszak-Marciniak Lattice

102

Semiha Özgül, Ahmet Yıldırım, Hüseyin Koçak

 

 

Complex Valued Neural Network With Möbius Activation Function

123

Necati Özdemir, Beyza Billur İskender, Nihal Yılmaz Özgür

 

 

Motion Analysis of Rainy Cells Observed In Weather Radar Images

129

O. Raaf, A. Adane

 

 

Geometrically Nonlinear Free Transverse Vibration of  2-DOF Systems Involving the Coupling Between Axial and Transverse Displacements

117

A. Rahmouni, Z.Beidouri, R. Benamar

 

 

A Note on the Sequential Linear Fractional Dynamical Systems from the Control System Viewpoint and  L2-Theory

125

Abolhassan Razminia, Vahid Johari Majd 

 

 

Effect of Chemical Kinetics on Permeability of a Porous Rock: Scaling by Concentration of Active Fluid

128

Supti Sadhukhan, S. Tarafdar, Tapati Dutta  

 

 

The Phase Diagram for Potts Model with Competing Ternary and Binary Interactions on a Cayley Tree

112

Seyit Temir, Nasir Ganikhodjaev, Selman Uguz, Hasan Akin 

 

 

A Numerical Analysis for Effects of Partial Slip on the Peristaltic Flow of a MHD Newtonian Fluid in an Asymmetric Channel

110

Meltem Turan, Ahmet Yıldırım, Sefa Anıl Sezer

 

 

Invex Energies on Riemannian Manifolds

126

Constantin Udrişte, Andreea Bejenaru

 

 

Hydrodynamic Modeling of Port Foster, Deception Island (Antarctica)

127

Juan Vidal, Manuel Berrocoso,  Bismarck  Jigena

 

 

Quantum Chemical Study on the Torsional Energy and Nonlinear Optical Properties of 2-, 3-R-4-Phenylpyridine (R=CH3, NH2 and NO2) Compounds

133

H. Alyar, M. Bahat

 

 

An Application of the Discrete Fractional Variational Principles

139

Dumitru Baleanu, Fahd Jarad, Thabet Abdeljawad, Tuğba Yılmaz

 

 

Fractional Analogous Models in Mechanics and Gravity Theories

 

140

Dumitru Baleanu, Sergiu I. Vacaru

 

Study of Diffusion Coefficient in Sand Piles

 

136

Arvin Fatemi, Arman Fatemi, Nahid Maleki

 

 

The Ring Problem of (N+1) Bodies: An Overview

132

Tilemahos J. Kalvouridis

 

 

Laser-Induced Magneto-Resistance Effect in Magnetic Tunnel Junctions with Pro Barrier

 131

M. Krupa, A. Korostil

 

 

Synthesis and Rheological Analysis of Ferro-Fluids

135

Nahid Maleki, Bahare Ghane-Motlagh, F.Ghane, R. Ghane, S.Rouhani

 

Free Nonlinear Nonclassical Oscillations of Microscale Beams

 

130

M. Rafiee,  A. Shooshtari, M. Karimi, A. Hiteh

 

 

Fractional Relaxation and Wave Equations for Dielectrics Characterized by the Havriliak-Negami Response Function

137

Renat T. Sibatov,  Dmitry V. Uchaikin

 

 

Statistical Model of Charge Transport in Colloidal Quantum Dot Array

141

Renat T. Sibatov 

 

 

Strict Stability Criteria of Fractional Order Differential Equations in Caputo’s Sense in Terms of Two Measures with Initial Time Difference

134

Coşkun Yakar, Mustafa Bayram Gücen, Muhammed Çiçek

 

 

Initial Time Difference Strict Stability Criteria of Fractional Order Differential Equations in Caputo’s Sense

138

Coşkun Yakar, Mustafa Bayram Gücen

 

 

 

Nearly parallel Blasius flow with slip

142

V. Kumaran, I. Pop