FDA Express Vol. 31, No. 3, June 30, 2019
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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:
http://jsstam.org.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol31_No3_2019.pdf
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↑ Latest SCI Journal Papers on FDA
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↑ Call for Papers
Training School: Computational Methods for Fractional-Order Problems
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↑ Books
HAUSDORFF CALCULUS: Applications to Fractal Systems
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↑ Journals
International Journal of Solids and Structures
International Journal of Engineering and Science
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↑ Paper Highlight
A non-local structural derivative model for memristor
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↑ 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 Integration and Fat Tails for Realized Covariance Kernels
By: Opschoor, Anne; Lucas, Andre
JOURNAL OF FINANCIAL ECONOMETRICS Volume: 17
Issue: 1 Pages: 66-90 Published: WIN 2019
A preconditioned fast quadratic spline collocation method for two-sided
space-fractional partial differential equations
By: Liu, Jun; Fu, Hongfei; Wang, Hong; etc..
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 360 Pages: 138-156
Published: NOV 2019
GROUND STATES OF NONLINEAR SCHRODINGER EQUATIONS WITH FRACTIONAL LAPLACIANS
By: Shen, Zupei; Han, Zhiqing; Zhang, Qinqin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S Volume: 12 Issue: 7 Pages:
2115-2125 Published: NOV 2019
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INVARIANT MEASURE OF
STOCHASTIC FRACTIONAL BURGERS EQUATION WITH DEGENERATE NOISE ON A BOUNDED
INTERVAL
By: Wang, Yan; Chen, Guanggan
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS Volume: 18 Issue: 6 Pages: 3121-3135
Published: NOV 2019
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Controllability of fractional
order damped dynamical systems with distributed delays
By: Arthi, G.; Park, Ju H.; Suganya, K.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 165 Pages: 74-91 Published: NOV
2019
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Numerical solutions of
variable order time fractional (1+1)- and (1+2)-dimensional advection dispersion
and diffusion models
By: Haq, Sirajul; Ghafoor, Abdul; Hussain, Manzoor
APPLIED MATHEMATICS AND COMPUTATION Volume: 360 Pages: 107-121 Published: NOV 1
2019
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Regional observability for
Hadamard-Caputo time fractional distributed parameter systems
By: Cai, Ruiyang; Ge, Fudong; Chen, YangQuan; etc..
APPLIED MATHEMATICS AND COMPUTATION Volume: 360 Pages: 190-202 Published: NOV 1
2019
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Stability and pinning
synchronization analysis of fractional order delayed Cohen-Grossberg neural
networks with discontinuous activations
By: Pratap, A.; Raja, R.; Cao, J.; etc..
APPLIED MATHEMATICS AND COMPUTATION Volume: 359 Pages: 241-260 Published: OCT 15
2019
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A New Energy-Preserving
Scheme for the Fractional Klein-Gordon-Schrodinger Equations
By: Shi, Yao; Ma, Qiang; Ding, Xiaohua
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS Volume: 11 Issue: 5 Pages:
1219-1247 Published: OCT 2019
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Multiplicity of solutions for
fractional p&q-Laplacian system involving critical concave-convex nonlinearities
By: Chen, Wenjing; Gui, Yuyan
APPLIED MATHEMATICS LETTERS Volume: 96 Pages: 81-88 Published: OCT 2019
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Radial symmetry of standing
waves for nonlinear fractional Hardy-Schrodinger equation
By: Wang, Guotao; Ren, Xueyan; Bai, Zhanbing; etc..
APPLIED MATHEMATICS LETTERS Volume: 96 Pages: 131-137 Published: OCT 2019
A numerical method for distributed order time fractional diffusion equation with
weakly singular solutions
By: Ren, Jincheng; Chen, Hu
APPLIED MATHEMATICS LETTERS Volume: 96 Pages: 159-165 Published: OCT 2019
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Leibniz type rule: psi-Hilfer
fractional operator
By: Sousa, J. Vanterler da C.; de Oliveira, E. Capelas
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 77 Pages:
305-311 Published: OCT 2019
Uniform convergence of compact and BDF methods for the space fractional
semilinear delay reaction-diffusion equations
By: Zhang, Qifeng; Ren, Yunzhu; Lin, Xiaoman; etc..
APPLIED MATHEMATICS AND COMPUTATION Volume: 358 Pages: 91-110 Published: OCT 1
2019
Response of fractional order on energy ratios at the boundary surface of
fluid-piezothermoelastic media
By: Kumar, Rajneesh; Sharma, Poonam
APPLIED MATHEMATICS AND COMPUTATION Volume: 358 Pages: 194-203 Published: OCT 1
2019
Exponentially fitted methods for solving time fractional nonlinear
reaction-diffusion equation
By: Zahra, W. K.; Nasr, M. A.; Van Daele, M.
APPLIED MATHEMATICS AND COMPUTATION Volume: 358 Pages: 468-490 Published: OCT 1
2019
Convergence analysis of the Chebyshev-Legendre spectral method for a class of
Fredholm fractional integro-differential equations
By: Yousefi, A.; Javadi, S.; Babolian, E.; etc..
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 358 Pages: 97-110
Published: OCT 1 2019
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On chaos in the
fractional-order Grassi-Miller map and its control
By: Ouannas, Adel; Khennaoui, Amina-Aicha; Grassi, Giuseppe; etc..
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 358 Pages: 293-305
Published: OCT 1 2019
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Global synchronization in
finite time for fractional-order coupling complex dynamical networks with
discontinuous dynamic nodes
By: Jia, You; Wu, Huaiqin
NEUROCOMPUTING Volume: 358 Pages: 20-32 Published: SEP 17 2019
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A new idea of
Atangana-Baleanu time fractional derivatives to blood flow with magnetics
particles in a circular cylinder: Two phase flow model
By: Ali, Farhad; Yousaf, Salman; Khan, Ilyas; etc..
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS Volume: 486 Document number: UNSP
165282 Published: SEP 15 2019
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A Hopf-Lax formula for
Hamilton-Jacobi equations with Caputo time-fractional derivative
By: Camilli, Fabio; De Maio, Raul; Iacomini, Elisa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 477 Issue: 2 Pages:
1019-1032 Published: SEP 15 2019
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Call for Papers
ㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜㄜ
Training School:
Computational Methods for Fractional-Order Problems
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(July 22-26, 2019, Bari, Italy)
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The aim of this Training School
(July 22-26, 2019, Bari, Italy) is to provide to young researchers the
background for understanding the mathematics beyond fractional operators and
devise accurate and reliable computational methods. In particular, the
development of numerical software for the effective treatment of
fractional-order systems will be one of the main assets of the training school
with the possibility of organizing some laboratory tutorials.
The preliminary Trainees are: 每 Prof. Kai Diethelm (University of Applied
Sciences W邦rzburg-Schweinfurt, Germany): Introduction to FDEs, numerical methods
for FDEs; 每 Prof. Roberto Garrappa (University of Bari, Italy): Introduction to
fractional calculus, efficient implementation of numerical methods for FDEs; 每
Prof. Guido Maione (Polytechnic University of Bari, Italy): Numerical methods in
engineering and control theory; 每 Prof. Maria Luisa Morgado (University of
Tr芍s-os-Montes e Alto Douro, Vila Real, Portugal): Collocation methods for FDEs;
每 Prof. Marina Popolizio (Polytechnic University of Bari, Italy): Matrix methods
for FDEs and partial FDEs; 每 Prof. Magda Stela Rebelo (Universidade Nova de
Lisboa, Portugal): Matlab implementation of collocation methods; 每 Prof. Abner
J. Salgado (University of Tennessee, Knoxville, TN, USA): Numerical methods for
fractional Laplacian; 每 Prof. Yubin Yan (University of Chester, UK): Numerical
methods for fractional partial differential equations.
All details on this Workshop are now available at:
https://fractional-systems.eu/ts-2019/.
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Books
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HAUSDORFF CALCULUS: Applications to Fractal Systems(Editors: Yingjie Liang, Wen Chen, Wei Cai)
Details:
https://www.degruyter.com/view/product/506187#?tdsourcetag=s_pctim_aiomsgIntroduction
This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.
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-Presents the theory
and applications of Hausdorff calculus.
-Covers applications in dynamics, statistics, mechanics, and computation.
-Of interest to mathematicians and physicists as well as to engineers.
Chapters
-Introduction
-Hausdorff diffusion equation
-Statistics on fractals
-Lyapunov stability of Hausdorff derivative non-linear systems
-Hausdorff radial basis function
-Hausdorff PDE modeling
-Local structural derivative
-Perspectives
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The Contents is available at:
https://www.degruyter.com/view/product/506187#?tdsourcetag=s_pctim_aiomsg
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Journals
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International Journal of Solids and Structures
(Selected)
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A fractional-order model for aging materials: An application to concrete
Angela Beltempo, Massimiliano Zingales, Oreste S. Bursi, Luca Deseri
A hyperelastic fractional damage material model with memory
Wojciech Sumelka, George Z. Voyiadjis
A 3D fractional elastoplastic constitutive model for concrete material
Dechun Lu, Xin Zhou, Xiuli Du, Guosheng Wang
Fractional order plasticity model for granular soils subjected to monotonic
triaxial compression
Yifei Sun, Yang Xiao
Fractional visco-elastic Euler每Bernoulli beam
M. Di Paola, R. Heuer, A. Pirrotta
Fractional order theory of thermoelasticity
Hany H. Sherief, A. M. A. El-Sayed, A. M. Abd El-Latief
Free energy and states of fractional-order hereditariness
Luca Deseri, Mario Di Paola, Massimiliano Zingales
Lattice with long-range interaction of power-law type for fractional
non-local elasticity
Vasily E. Tarasov
Long-range cohesive interactions of non-local continuum faced by fractional
calculus
Mario Di Paola, Massimiliano Zingales
A generalized model of elastic foundation based on long-range interactions:
Integral and fractional model
M. Di Paola, F. Marino, M. Zingales
Modeling of elastomeric materials using nonlinear fractional derivative and
continuously yielding friction elements
Deepak S. Ramrakhyani, George A. Lesieutre, Edward C. Smith
Two-dimensional axisymmetric stresses exerted by instantaneous pulses and
sources of diffusion in an infinite space in a case of time-fractional diffusion
equation
Y. Z. Povstenko
A fractional order rate approach for modeling concrete structures subjected
to creep and fracture
F. Barpi, S. Valente
Damping described by fading memory〞analysis and application to fractional
derivative models
Mikael Enelund, Peter Olsson
Time domain modeling of damping using anelastic displacement fields and
fractional calculus
Mikael Enelund, George A. Lesieutre
Formulation and integration of the standard linear viscoelastic solid with
fractional order rate laws
Mikael Enelund, Lennart Mähler, Kenneth Runesson, B. Lennart Josefson
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[Back]﹛
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International Journal of Engineering and Science
(Selected)﹛
The application of the fractional calculus model for
dispersion and absorption in dielectrics II. Infrared waves
Andrew W. Wharmby
The application of the fractional calculus model for
dispersion and absorption in dielectrics I. Terahertz waves
Andrew W. Wharmby, Ronald L. Bagley
Forced oscillations of a body attached to a viscoelastic
rod of fractional derivative type
Teodor M. Atanackovic, Stevan Pilipovic, Dusan Zorica
Modifying Maxwell*s equations for dielectric materials
based on techniques from viscoelasticity and concepts from fractional calculus
Andrew W. Wharmby, Ronald L. Bagley
Distributed-order fractional wave equation on a finite
domain. Stress relaxation in a rod
T. M. Atanackovic, S. Pilipovic, D. Zorica
A new method for solving dynamic problems of fractional
derivative viscoelasticity
Yu. A. Rossikhin, M. V. Shitikova
Anomalous stability behavior of a properly invariant
constitutive equation which generalises fractional derivative models
L. I. Palade, P. Attan谷, R. R. Huilgol, B. Mena
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Paper
Highlight
M Shabani, K Jahani, M Di Paola, MH Sadeghi
Publication information:
Mechanics of Materials Volume 137, October 2019, 103099https://www.sciencedirect.com/science/article/pii/S0167663618308111
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Abstract
In this work, a new innovative method is used to
identify the parameters of fractional Kelvin-Voigt constitutive equation. These
parameters are: the order of fractional derivation operator, 0 ≒ 汐 ≒ 1, the
coefficient of fractional derivation operator, CV, and the stiffness of the
model, KV. A particular dynamic test setup is developed to capture the
experimental data. Its outputs are time histories of the excitation and excited
accelerations. The investigated specimen is a polymeric cubic silicone gel
material known as 汐-gel. Two kinds of experimental excitations are used as
random frequencies and constant frequency harmonic excitations. In this study,
experimental frequency response functions confirm that increasing the static
preload changes the behavior of the investigated viscoelastic material and the
fractional Kelvin-Voigt model loses its validity by increasing the
precompression. It is shown that, for a random frequencies excitation, by
transforming from the time domain to the frequency domain the mentioned
parameters can be identified. Using the identified parameters, analytical
frequency response functions are so close to their experimental counterparts.
Also, analytically produced time histories of the test setup*s output for
steady-state experimental tests are so close to the captured time histories. The
mentioned results validate the procedure of identification.
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Lin Qiu, Wen Chen, Fajie Wang, Ji Lin
Publication information: Chaos, Solitons &
Fractals, Volume 126,
September 2019, Pages 169-177
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Abstract
The memristor is of great application and significance in the integrated circuit design, the realization of large-capacity non-volatile memories and the neuromorphic systems. This paper firstly proposes the non-local structural derivative memristor model with two-degree-of-freedom increased to portray the memory effect of memristor. Actually, the developed is a more generalized model that will be reduced to the classical one when the fractal characteristic index 汐 = 1. The proposed model is more flexible than the classical ideal memory model and Riemann Liouville memristor model under the same conditions. In addition, the memory effect described by the present scheme could be adjusted by the position parameter 汛. This work provides a new methodology not only to describe the memory effect of the memristor, but also to easily portray the memristor with ultra-weak memory.
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