FDA Express Vol. 28, No. 1, Jul. 30, 2018
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Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: suxianglong1303@hhu.edu.cn, fdaexpress@hhu.edu.com
For subscription:
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Call for contributions: International Journal of Dynamics and Control
◆ Books
Vladimir Uchaikin, Renat Sibatov, Fractional Kinetics in Space. Anomalous Transport Models
◆ Journals
Fractional Calculus and Applied Analysis
Computers & Mathematics with Applications
◆ Paper Highlight
On infinite order differential operators in fractional viscoelasticity
◆ Websites of Interest
Fractal derivative and operators and their applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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Fractional diffusion-type equations with exponential and logarithmic differential operators
By: Beghin, Luisa.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS Volume: 128 Issue:7 Pages: 2427-2447 Published: JUL 2018
By: Dipierro, Serena; Valdinoci, Enrico.
BULLETIN OF MATHEMATICAL BIOLOGY Volume: 80 Issue: 7 Pages:1849-1870 Published: JUL 2018
By: Khajehsaeid, Hesam.
POLYMER TESTING Volume: 68 Pages:110-115 Published: JUL 2018
By: Fernandez-Pato, J.; Gracia, J. L.; Garcia-Navarro, P.
JOURNAL OF HYDROINFORMATICS Volume: 20 Issue: 4 Pages: 898-916 Published: JUL 2018
By: Karner, Timi; Vuherer, Tomaz; Gotlih, Janez; et al.
MATERIALS RESEARCH EXPRESS Volume: 5 Issue: 7 Article number: 075702 Published: JUL 2018
WEAK SYMMETRIC INTEGRALS WITH RESPECT TO THE FRACTIONAL BROWNIAN MOTION
By: Binotto, Giulia; Nourdin, Ivan; Nualart, David.
ANNALS OF PROBABILITY Volume: 46 Issue: 4 Pages: 2243-2267 Published: JUL 2018
Riemann Liouvelle Fractional Integral Based Empirical Mode Decomposition for ECG
Denoising
By: Jain, Shweta; Bajaj, Varun; Kumar, Anil.
IEEE JOURNAL OF BIOMEDICAL AND HEALTH INFORMATICS Volume: 22 Issue: 4 Pages: 1133-1139 Published: JUL 2018
Hermite-Hadamard type inequalities for fractional integrals via Green's function
By: Khan, Muhammad Adil; Iqbal, Arshad; Suleman, Muhammad; et al.
JOURNAL OF INEQUALITIES AND APPLICATIONS Article number: 161 Published: JUL 4 2018
Design and implementation of fractional-order microwave differentiator
By: Gupta, Mridul; Upadhyay, Dharmendra Kumar.
IET MICROWAVES ANTENNAS & PROPAGATION Volume: 12 Issue: 8 Pages: 1375-1381 Published: JUL 4 2018
MAXIMAL ESTIMATES FOR FRACTIONAL SCHRODINGER EQUATIONS WITH SPATIAL VARIABLE
COEFFICIENT
By: Zheng, Bo-Wen.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS Article number: 139 Published: JUL 3 2018
By: Zhang, Yuxin; Li, Qian; Ding, Hengfei.
APPLIED MATHEMATICS AND COMPUTATION Volume: 329 Pages: 432-443 Published: JUL 15 2018
Global stability for the fractional Navier-Stokes equations in the Fourier-Herz
space
By: Chen, Jing; Song, Changming.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 10 Pages: 3696-3717 Published: JUL 15 2018
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Call for Papers
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Call for contributions: International Journal of Dynamics and Control
Website: https://www.springer.com/engineering/mechanics/journal/40435
http://www.editorialmanager.com/ijdy/default.aspx
Special Issue on Fractional Calculus in linear and non linear circuits and
systems
Guest Editors:
Arturo Buscarino (DIEEI - University of Catania, Italy) arturo.buscarino@dieei.unict.it
Riccardo Caponetto (DIEEI - University of Catania, Italy) riccardo.caponetto@unict.it
Luigi Fortuna (DIEEI - University of Catania, Italy) luigi.fortuna@dieei.unict.it
Tenreiro Machado (Institute of Engineering, Polytechnic of Porto, Portugal)
jtenreiromachado@gmail.com
Scope:
The impact of fractional order circuits and systems over a wide range of fields
is rapidly becoming evident. Fractional order models, in fact, appear to be more
accurate in reproducing the behavior of physical processes than classical
integer order models. Examples can be found in rheology, mechanics, chemistry,
physics, bioengineering, robotics and many others scientific fields.
As a consequence, a large literature describing the advantages of fractional
calculus has been introduced in the last few decades. At the same time,
fractional integrals and derivatives are also applied to the theory of control
of dynamical systems, when the controlled system and/or the controller is
described by fractional differential equations. The main goal of this Special
Issue is to present timely and novel applications and implementations of
fractional order circuits and systems. Modelling issues related to real-life
cases will be deeply discussed, as well as fractional order controller theory
and realization. Aspects related to the modelling, design, implementation and
application of fractional order linear and non lines systems will be addressed.
Topics to be covered, but not limited to FRACTIONAL ORDER SYSTEMS IN:
- complex adaptive systems
- chaos
- neural systems
- information and computation theory applications - network theory
- circuit theory
- signal processing
- economy and finance;
- mechatronics;
- biology, biophysics, biomathematics;
- bioengineering
- nanotechnology
- artificial life
Important dates:
• Manuscript Submission: December 15, 2018
• First round of reviews: February 28, 2019
• Notification of final acceptance: April 30, 2019 • Final manuscript
submission: May 20, 2019
• Tentative publication date: June 2019
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Books
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Vladimir
Uchaikin, Renat Sibatov, Fractional Kinetics in Space.
Anomalous Transport Models
Details: https://www.worldscientific.com/worldscibooks/10.1142/10581
Book Description
This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space (magnetic fields, plasma, cosmic rays, etc.). This method is based on a special mathematical analysis fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of physicists. This book is addressed to graduate and postgraduate students, young and mature researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays.
Contents (10 Chapters):
– Overview
– Mathematical Prelude
– Nonlocal Diffusion Models in Hydrodynamics
– Interstellar Medium
– Solar System Scales
– From Classic to Fractional Models of Cosmic Ray Transport
– Acceleration of Cosmic Rays
– Nonlocal Relativistic Diffusion Model
– Cosmological Scales
– Conclusion: Invitation to Fractional Cosmology
– Bibliography
Readership:
Graduate and postgraduate students, researchers specializing in applications of
fractional calculus, astrophysics, solar-terrestrial science and physics of
cosmic rays.
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Journals
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Fractional Calculus and Applied Analysis
(Vol. 21, No. 3 (2018))
Ruzhansky, Michael / Suragan, Durvudkhan / Yessirkegenov, Nurgissa
Gonzalez, Emmanuel A. / Petráš, Ivo / Ortigueira, Manuel D.
Dalmasso, Estefanía / Pradolini, Gladis / Ramos, Wilfredo
Bohaienko, Vsevolod
Cao, Jian / Srivastava, H. M. / Liu, Zhi-Guo
Lebesgue regularity for nonlocal time-discrete equations with delays
Leal, Claudio / Lizama, Carlos / Murillo-Arcila, Marina
Padhi, Seshadev / Graef, John R. / Pati, Smita
Li, Zhiqiang / Yan, Yubin
The Laplace transform induced by the deformed exponential function of two variables
Rajković, Predrag M. / Stanković, Miomir S. / Marinković, Sladjana D.
Attractivity for fractional evolution equations with almost sectorial operators
Zhou, Yong
The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type
Ma, Tianfu / Yan, Baoqiang
Well-posedness of general Caputo-type fractional differential equations
Sin, Chung-Sik
Wang, Youyu / Wang, Qichao
Inverse source problem for a space-time fractional diffusion equation
Ali, Muhammad / Aziz, Sara / Malik, Salman A.
Choudhary, Sangita / Daftardar-Gejji, Varsha
[Back]
Computers & Mathematics with Applications
(Selected)
Anomalous diffusion in comb model with fractional dual-phase-lag constitutive relation
Lin Liu, Liancun Zheng, Yanping Chen, Fawang Liu
Cheng Chen, Yao-Lin Jiang
Numerical methods for the two-dimensional multi-term time-fractional diffusion equations
Linlin Zhao, Fawang Liu, Vo V. Anh
Mahmoud A. Zaky
Yong Zhou, Li Peng
Creep constitutive models for viscoelastic materials based on fractional derivatives
Huanying Xu, Xiaoyun Jiang
Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives
Muhammad Shoaib Anwar, Amer Rasheed
Analytical and numerical solutions of the unsteady 2D flow of MHD fractional Maxwell fluid induced by variable pressure gradient
Yan Zhang, Haojie Zhao, Fawang Liu, Yu Bai
Unidirectional flows of fractional Jeffreys' fluids: Thermodynamic constraints and subordination
Emilia Bazhlekova, Ivan Bazhlekov
Fractional differential equations and related exact mechanical models
Mario Di Paola, Francesco Paolo Pinnola, Massimiliano Zingales
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Paper Highlight
On infinite order differential operators in fractional viscoelasticity
Giusti, Andrea
Publication information: FRACTIONAL CALCULUS AND APPLIED ANALYSIS, Volume: 20 Issue: 4 Pages: 854-867 Published: AUG 2017
Abstract
In this paper we discuss some general properties of viscoelastic models defined in terms of constitutive equations involving infinitely many derivatives (of integer and fractional order). In particular, we consider as a working example the recently developed Bessel models of linear viscoelasticity that, for short times, behave like fractional Maxwell bodies of order 1/2.
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Wei Cai, Wen Chen, Jun Fang and Sverre Holm
Publication information: Applied Mechanics Reviews, 2018, Volume: 70 Issue: 3 Published: Jun 19, 2018
http://appliedmechanicsreviews.asmedigitalcollection.asme.org/article.aspx?articleid=2683319
Abstract
This paper aims at presenting a survey of the fractional derivative acoustic wave equations, which have been developed in recent decades to describe the observed frequency-dependent attenuation and scattering of acoustic wave propagating through complex media. The derivation of these models and their underlying elastoviscous constitutive relationships are reviewed, and the successful applications and numerical simulations are also highlighted. The different fractional derivative acoustic wave equations characterizing viscous dissipation are analyzed and compared with each other, along with the connections and differences between these models. These model equations are mainly classified into two categories: temporal and spatial fractional derivative models. The statistical interpretation for the range of power-law indices is presented with the help of Lévy stable distribution. In addition, the fractional derivative biharmonic wave equations governing scattering attenuation are introduced and can be viewed as a generalization of viscous dissipative attenuation models.
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