FDA Express Vol. 28, No. 2, Aug. 30, 2018
All issues: http://jsstam.org.cn/fda/
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
Special Issue on Advances in Fractional Differential Equations (V): Time-space fractional PDEs
◆ Books
Non-Integer Order Calculus and its Applications
◆ Journals
Journal of Sound and Vibration
Applied Mathematical Modelling
◆ Paper Highlight
A spatial fractional seepage model for the flow of non-Newtonian fluid in fractal porous medium
◆ 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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A fractional motion diffusion model for a
twice-refocused spin-echo pulse sequence
By: Karaman, M Muge; Zhou, Xiaohong Joe
NMR in biomedicine Pages: e3960 Published: 2018-Aug-22 (Epub 2018 Aug 22)
Optical excitation fractional Fourier transform (FrFT) based enhanced
thermal-wave radar imaging (TWRI).
By: Wang, Fei; Wang, Yonghui; Liu, Junyan; etc.
Optics express Volume: 26 Issue: 17 Pages: 21403-21417
Published: 2018-Aug-20
Periodic boundary value problems for fractional semilinear integro-differential
equations with non-instantaneous impulses
By: Zhu, Bo; Liu, Lishan
BOUNDARY VALUE PROBLEMS Document number: 128 Published: AUG 17 2018
An efficient algorithm based on Gegenbauer wavelets for the solutions
of variable-order fractional differential equations
By: Usman, Muhammad; Hamid, Muhammad; Ul Haq, Rizwan; etc.
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 133 Issue: 8 Document
number: 327 Published: AUG 17 2018
Robust consensus of fractional-order multi-agent systems with input
saturation and external disturbances
By: Chen, Lin; Wang, Yan-Wu; Yang, Wu; etc.
NEUROCOMPUTING Volume: 303 Pages: 11-19 Published: AUG 16 2018
Optical solitons, self-focusing, and wave collapse in a space-fractional
Schrodinger equation with a Kerr-type nonlinearity
By: Chen, Manna; Zeng, Shihao; Lu, Daquan; etc.
PHYSICAL REVIEW E Volume: 98 Issue: 2 Document number: 022211 Published: AUG 15
2018
A generalized Laguerre spectral Petrov-Galerkin method for the
time-fractional subdiffusion equation on the semi-infinite domain
By: Yu, Hao; Wu, Boying; Zhang, Dazhi
APPLIED MATHEMATICS AND COMPUTATION Volume: 331 Pages: 96-111 Published: AUG 15
2018
A non-polynomial numerical scheme for
fourth-order fractional diffusion-wave model
By: Li, Xuhao; Wong, Patricia J. Y.
APPLIED MATHEMATICS AND COMPUTATION Volume: 331 Pages: 80-95 Published: AUG 15
2018
Time fractional modified anomalous
sub-diffusion equation with a nonlinear source term through locally applied
meshless radial point interpolation
By: Shivanian, Elyas; Jafarabadi, Ahmad
MODERN PHYSICS LETTERS B Volume: 32 Issue: 22 Document number: 1850251
Published: AUG 10 2018
A direct discontinuous Galerkin
method for fractional convection-diffusion and Schrodinger-type equations
By: Aboelenen, Tarek
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 133 Issue: 8 Document number: 316
Published: AUG 9 2018
Focus Point on Modelling Complex
Real-World Problems with Fractal and New Trends of Fractional Differentiation
By: Atangana, Abdon; Hammouch, Z.; Mophou, G.; etc.
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 133 Issue: 8 Document number: 315
Published: AUG 7 2018
Modeling and analysis of the
fractional HBV model with Atangana-Baleanu derivative
By: Ullah, Saif; Khan, Muhammad Altaf; Farooq, Muhammad
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 133 Issue: 8 Document number: 313
Published: AUG 6 2018
MHD mixed convection Poiseuille flow
in a porous medium: New trends of Caputo time fractional derivatives in heat
transfer problems
By: Khan, Ilyas; Shah, Nehad Ali; Nigar, Niat; etc.
EUROPEAN PHYSICAL JOURNAL PLUS Volume: 133 Issue: 8 Document number: 299
Published: AUG 2 2018
White Blood Cell Extraction on Fractional Calculus and Gradient Vector Flow
Snake for Leukocyte Classification on Support Vector Machines
By: Zhang Guangnan; Wang Weixing; Lang Fangnian; etc.
JOURNAL OF MEDICAL IMAGING AND HEALTH INFORMATICS Volume: 8 Issue: 6 Pages:
1249-1257 Published: AUG 2018
Evaluation of classic and fractional
models as constitutive relations for carbon black-filled rubber
By: Yin, Boyuan; Hu, Xiaoling; Song, Kui
JOURNAL OF ELASTOMERS AND PLASTICS Volume: 50 Issue: 5 Pages: 463-477 Published:
AUG 2018
Formulation of thermodynamically consistent fractional Burgers models
By: Okuka, Aleksandar S.; Zorica, Dusan
ACTA MECHANICA Volume: 229 Issue: 8 Pages: 3557-3570 Published: AUG 2018
Two-Parameter Mittag-Leffler Solution
of Space Fractional Advection-Diffusion Equation for Sediment Suspension in
Turbulent Flows
By: Kundu, Snehasis
JOURNAL OF ENVIRONMENTAL ENGINEERING Volume: 144 Issue: 8 Document number:
06018005 Published: AUG 2018
Integer and Fractional Order-Based Viscoelastic Constitutive Modeling to Predict
the Frequency and Magnetic Field-Induced Properties of Magnetorheological
Elastomer
By: Poojary, Umanath R.; Gangadharan, K. V.
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME Volume: 140 Issue: 4
Document number: 041007 Published: AUG 2018
Stokes' second problem of
viscoelastic fluids with constitutive equation of distributed-order derivative
By: Duan, Jun-Sheng; Qiu, Xiang
APPLIED MATHEMATICS AND COMPUTATION Volume: 331 Pages: 130-139 Published: AUG 15
2018
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Call for Papers
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Special Issue on Advances in Fractional Differential Equations (V): Time-space fractional PDEs
Computers & Mathematics with Applications (Published by Elsevier, impact factor: 1.860)
In the past forty years, fractional calculus had played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory, and signal and image processing. Moreover, it has been found that the dynamical behavior of many complex systems can be properly described by fractional order models. Such models are interesting for engineers and physicists but also for mathematicians. The most important among such models are those described by partial differential equations containing fractional derivatives. Their evolutions behave in a much more complex way than in the classical integer-order case and the study of the corresponding theory, numerical methods and applications is a hugely demanding task. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, many international conferences.
This is the fifth special issue on Advances in Fractional Differential Equations of the journal CAMWA. This special issue shall deal with some new and different topics with high current interest falling within the scope of the CAMWA, and attract more attention from contributors and readers.
Guest Editors:
Professor Yong Zhou
P.R. China
Professor
Michal Feckan
Department of Mathematical Analysis and Numerical Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
Professor Fawang Liu
School of Mathematical Sciences
Professor
J. A. Tenreiro Machado
Department of Electrical Engineering
ISEP-Institute of Engineering Polytechnic of Porto
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Books
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(Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski (Eds.))
Details:
https://link.springer.com/book/10.1007/978-3-319-78458-8.Book Description
The book includes papers presented at 9th International Conference on
Non-integer Order Calculus and Its Applications - 2017 (RRNR 2017), as one of
all RRNR Conferences hold in Poland.
The stuff is divided into three parts, focused on:
– Mathematical foundations (7 papers),
– Fractional systems analysis and synthesis (12 papers),
– System modeling (3 papers).
It is a useful resource for fractional calculus scientific community.
The Contents is available at: https://link.springer.com/book/10.1007/978-3-319-78458-8#toc.
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Journals
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Journal of Sound and Vibration
(Selected)
Flutter analysis of a flag of fractional viscoelastic material
Ming Chen, Lai-Bing Jia, Xiao-Peng Chen, Xie-Zhen Yin
Qi Liu, Yong Xu, Jürgen Kurths
Shengyang Zhu, Chengbiao Cai, Pol D. Spanos
Finite element analysis of vibrating linear systems with fractional derivative viscoelastic models
Silvio Sorrentino, Alessandro Fasana
T. P. Sales, Flávio D. Marques, Daniel A. Pereira, Domingos A. Rade
Statistical origins of fractional derivatives in viscoelasticity
Anindya Chatterjee
Five-parameter fractional derivative model for polymeric damping materials
T. Pritz
Yury A. Rossikhin, Marina V. Shitikova
Tsuneo Usuki
[Back]
Applied Mathematical Modelling
(Selected)
Shanzhen Chen, Fawang Liu, Ian Turner, Xiuling Hu
Macroscopic and microscopic anomalous diffusion in comb model with fractional dual-phase-lag model
Lin Liu, Liancun Zheng, Yanping Chen
A fractional order derivative based active contour model for inhomogeneous image segmentation
Bo Chen, Shan Huang, Zhengrong Liang, Wensheng Chen, Binbin Pan
Libo Feng, Fawang Liu, Ian Turner, Qianqian Yang, Pinghui Zhuang
A spatial-fractional thermal transport model for nanofluid in porous media
Mingyang Pan, Liancun Zheng, Fawang Liu, Chunyan Liu, Xuehui Chen
Yanni Bouras, Dušan Zorica, Teodor M. Atanacković, Zora Vrcelj
Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
Qi Haitao, Xu Mingyu
Nonlinear dynamic analysis of viscoelastic beams using a fractional rheological model
Olga Martin
Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model
M. Khan, S. Hyder Ali, C. Fetecau, Haitao Qi
M. Faraji Oskouie, R. Ansari
Modeling the arterial wall mechanics using a novel high-order viscoelastic fractional element
J. M. Pérez Zerpa, A. Canelas, B. Sensale, D. Bia Santana, R. L. Armentano
Nonlinear vibration analysis of a fractional dynamic model for the viscoelastic pipe conveying fluid
Ye Tang, Yaxin Zhen, Bo Fang
Unsteady flow of viscoelastic fluid with the fractional K-BKZ model between two parallel plates
Chung-Sik Sin, Liancun Zheng, Jun-Sik Sin, Fawang Liu, Lin Liu
Thermo-viscoelastic materials with fractional relaxation operators
M. A. Ezzat, A. S. El-Karamany, A. A. El-Bary
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Paper Highlight
Jaishankar, Aditya; McKinley, Gareth H.
Publication information: JOURNAL OF RHEOLOGY Volume: 58 Issue: 6 Pages: 1751-1788 Published: NOV-DEC 2014
Abstract
The relaxation processes of a wide variety of soft materials frequently contain one or more broad regions of power-law like or stretched exponential relaxation in time and frequency. Fractional constitutive equations have been shown to be excellent models for capturing the linear viscoelastic behavior of such materials, and their relaxation modulus can be quantitatively described very generally in terms of a Mittag-Leffler function. However, these fractional constitutive models cannot describe the nonlinear behavior of such power-law materials. We use the example of Xanthan gum to show how predictions of nonlinear viscometric properties, such as shear-thinning in the viscosity and in the first normal stress coefficient, can be quantitatively described in terms a nonlinear fractional constitutive model. We adopt an integral K-BKZ framework and suitably modify it for power-law materials exhibiting Mittag-Leffler type relaxation dynamics at small strains. Only one additional parameter is needed to predict nonlinear rheology, which is introduced through an experimentally measured damping function. Empirical rules such as the Cox-Merz rule and Gleissle mirror relations are frequently used to estimate the nonlinear response of complex fluids from linear rheological data. We use the fractional model framework to assess the performance of such heuristic rules and quantify the systematic offsets, or shift factors, that can be observed between experimental data and the predicted nonlinear response. We also demonstrate how an appropriate choice of fractional constitutive model and damping function results in a nonlinear viscoelastic constitutive model that predicts a flow curve identical to the elastic Herschel-Bulkley model. This new constitutive equation satisfies the Rutgers-Delaware rule, which is appropriate for yielding materials. This K-BKZ framework can be used to generate canonical three-element mechanical models that provide nonlinear viscoelastic generalizations of other empirical inelastic models such as the Cross model. In addition to describing nonlinear viscometric responses, we are also able to provide accurate expressions for the linear viscoelastic behavior of complex materials that exhibit strongly shear-thinning Cross-type or Carreau-type flow curves. The findings in this work provide a coherent and quantitative way of translating between the linear and nonlinear rheology of multiscale materials, using a constitutive modeling approach that involves only a few material parameters.
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A spatial fractional seepage model for the flow of non-Newtonian fluid in fractal porous medium
Yang, Xu; Liang, Yingjie; Chen, Wen
Publication information: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 65 Pages: 70-78 Published: DEC 2018
Abstract
In the present study, a fractional seepage model (FSM) is proposed for non-Newtonian fluid via spatial fractional derivative to characterize the non-local characteristics of the non Newtonian fluid in space and the fractal attributes of the porous medium. The analytical expressions of the permeability and the resistance are derived, in which each parameter contains clear physical meaning. The comparison between the empirical equations and our model with respect to available experimental data verifies the predictive capability of the proposed model. In addition, this study makes the first attempt to bridge the relation between the fractional derivative order and the fractal dimension of tortuosity, and may reveal the correlation between the memory of the complex fluid and characteristic pattern of the microstructure. (C) 2018 Elsevier B.V. All rights reserved.
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