FDA Express

FDA Express    Vol. 28, No. 3, Sep. 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: http://jsstam.org.cn/fda/subscription.htm

PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol28_No3_2018.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on Sep. 30, 2018)

 

  Call for Papers

Special Issue on Advances in Fractional Differential Equations (V): Time-space fractional PDEs

 

◆  Books

Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology

 

◆  Journals

Applied Mathematics and Computation

Communications in Nonlinear Science and Numerical Simulation

 

  Paper Highlight

Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions

Non-local structural derivative Maxwell model for characterizing ultra-slow rheology in concrete

 

  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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(Searched on Sep. 30, 2018)


 



 

 

Introducing a stress-dependent fractional nonlinear viscoelastic model for modified asphalt binders
By: Hajikarimi, Pouria; Nejad, Fereidoon Moghadas; Khodaii, Ali; etc.
CONSTRUCTION AND BUILDING MATERIALS Volume: 183  Pages: 102-113 Published: SEP 20 2018


General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function
By: Farid, G.; Khan, K. A.; Latif, N.; etc.
JOURNAL OF INEQUALITIES AND APPLICATIONS  Document number: 243 Published: SEP 15 2018

 

Response spectrum method for building structures with viscoelastic dampers described by fractional derivatives
By: Lewandowski, Roman; Pawlak, Zdzislaw
ENGINEERING STRUCTURES Volume: 171 Pages: 1017-1026 Published: SEP 15 2018


Fully discrete spectral methods for solving time fractional nonlinear Sine-Gordon equation with smooth and non-smooth solutions
By: Liu, Zeting; Lu, Shujuan; Liu, Fawang
APPLIED MATHEMATICS AND COMPUTATION Volume: 333 Pages: 213-224 Published: SEP 15 2018


Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems
By: Li, Qiaoping; Liu, Sanyang; Chen, Yonggang
APPLIED MATHEMATICS AND COMPUTATION Volume: 333 Pages: 521-535 Published: SEP 15 2018


External force estimation of a piezo-actuated compliant mechanism based on a fractional order hysteresis model
By: Zhu, Zhiwei; To, Suet; Li, Yangmin; etc.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING Volume: 110 Pages: 296-306 Published: SEP 15 2018


An efficient nonpolynomial spline method for distributed order fractional subdiffusion equations
By: Li, Xuhao; Wong, Patricia J. Y.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Volume: 41 Issue: 13 Pages: 4906-4922 Published: SEP 15 2018


Suspension concentration distribution in turbulent flows: An analytical study using fractional advection-diffusion equation
By: Kundu, Snehasis
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS Volume: 506 Pages: 135-155 Published: SEP 15 2018


Vibration active control of structure with parameter perturbation using fractional order positive position feedback controller
By: Niu, Wenchao; Li, Bin; Xin, Tao; etc.
JOURNAL OF SOUND AND VIBRATION Volume: 430 Pages: 101-114 Published: SEP 15 2018


On generalized and fractional derivatives and their applications to classical mechanics
By: Mingarelli, Angelo B.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 51 Issue: 36 Document number: 365204 Published: SEP 7 2018


Dynamics of Gaussian beam modeled by fractional Schrodinger equation with a variable coefficient
By: Zang, Feng; Wang, Yan; Li, Lu
OPTICS EXPRESS Volume: 26 Issue: 18 Pages: 23740-23750 Published: SEP 3 2018


Riesz Fractional Based Model for Enhancing License Plate Detection and Recognition
By: Raghunandan, K. S.; Shivakumara, Palaiahnakote; Jalab, Hamid A.; etc.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY Volume: 28 Issue: 9 Pages: 2276-2288 Published: SEP 2018


MHD fractional Jeffrey's fluid flow in the presence of thermo diffusion, thermal radiation effects with first order chemical reaction and uniform heat flux
By: Imran, M. A.; Miraj, Fizza; Khan, I.; etc.
RESULTS IN PHYSICS Volume: 10 Pages: 10-17 Published: SEP 2018


A modern approach of Caputo-Fabrizio time-fractional derivative to MHD free convection flow of generalized second-grade fluid in a porous medium
By: Sheikh, Nadeem Ahmad; Ali, Farhad; Khan, Ilyas; etc.
NEURAL COMPUTING & APPLICATIONS Volume: 30 Issue: 6 Pages: 1865-1875 Published: SEP 2018


A nonconvex fractional order variational model for multi-frame image super-resolution
By: Laghrib, A.; Ben-Loghfyry, A.; Hadri, A.; etc.
SIGNAL PROCESSING-IMAGE COMMUNICATION Volume: 67 Pages: 1-11 Published: SEP 2018


Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay
By: Mohammadzadeh, Ardashir; Ghaemi, Sehraneh
NONLINEAR DYNAMICS Volume: 93 Issue: 4 Pages: 1809-1821 Published: SEP 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.

Topics of special issue:

Theory, Theory, numerical methods and applications for fractional PDEs in multiple space dimension
 
Submission Guidelines:

Manuscripts should be submitted online through EES at the following link: http://ees.elsevier.com/camwa/ . Please select "SI: Fractional PDEs" when you reach the "Select Article Type" step in the submission process, and select "Yong Zhou, Managing Guest Editor (SI: Time-fractional PDEs) " as the Requested Editor. All papers will be peer reviewed. There are no page charges.
Be advised that each author may submit at most two manuscripts to this special issue either as a corresponding author or contributing author.
 
Important Dates:

Submission Deadline: 31 Oct. 2018
 

Guest Editors:

Professor Yong Zhou

School of Mathematics and Computational Science
Xiangtan University
XiangtanHunan 411105
P.R. China
 

 

Professor Michal Feckan 
Department of Mathematical Analysis and Numerical Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
Slovakia

 

Professor Fawang Liu

School of Mathematical Sciences

Queensland University of Technology

Australia 

 

Professor J. A. Tenreiro Machado 
Department of Electrical Engineering
ISEP-Institute of Engineering Polytechnic of Porto
Portugal


 

 

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Books

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Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology

(Abdon Atangana)

Details: https://www.sciencedirect.com/book/9780128096703/fractional-operators-with-constant-and-variable-order-with-application-to-geo-hydrology#book-info

Book Description

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author’s analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution.

 

Chapters


-Aquifers and Their Properties

-Principle of Groundwater Flow

-Groundwater Pollution

-Limitations of Groundwater Models With Local Derivative

-Fractional Operators and Their Applications

-Regularity of a General Parabolic Equation With Fractional Differentiation

-Applications of Fractional Operators to Groundwater Models

-Models of Groundwater Pollution With Fractional Operators

-Fractional Variable Order Derivatives

-Groundwater Flow Model in Self-similar Aquifer With Atangana–Baleanu Fractional Operators

-Groundwater Flow Within a Fracture, Matrix Rock and Leaky Aquifers: Fractal Geometry

-Modeling Groundwater Pollution With Variable Order Derivatives

-Groundwater Recharge Model With Fractional Differentiation

-Atangana Derivative With Memory and Application

-References

 


The Contents is available at: https://www.sciencedirect.com/book/9780128096703/fractional-operators-with-constant-and-variable-order-with-application-to-geo-hydrology#book-info.

 

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 Journals

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Applied Mathematics and Computation

 (Selected)

 

A high-order L2-compact difference method for Caputo-type time-fractional sub-diffusion equations with variable coefficients

Yuan-Ming Wang, Lei Ren

A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation

Mohammad Hossein Heydari, Zakieh Avazzadeh, Malih Farzi Haromi

Blood vessel segmentation in retinal fundus images using Gabor filters, fractional derivatives, and Expectation Maximization

Hugo Aguirre-Ramos, Juan Gabriel Avina-Cervantes, Ivan Cruz-Aceves, José Ruiz-Pinales, Sergio Ledesma

Meshless spectral method for solution of time-fractional coupled KdV equations

Manzoor Hussain, Sirajul Haq, Abdul Ghafoor

A note on Katugampola fractional calculus and fractal dimensions

S. Verma, P. Viswanathan

Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation

Hossein Pourbashash, Mahmood Khaksar-e Oshagh

Macroeconomic models with long dynamic memory: Fractional calculus approach

Vasily E. Tarasov, Valentina V. Tarasova

Numerical analysis for Navier–Stokes equations with time fractional derivatives

Jun Zhang, JinRong Wang

A nonlinear viscoelastic fractional derivative model of infant hydrocephalus

K. P. Wilkie, C. S. Drapaca, S. Sivaloganathan

 

 

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Communications in Nonlinear Science and Numerical Simulation

 (Selected)

 

On an accurate discretization of a variable-order fractional reaction-diffusion equation

Mojtaba Hajipour, Amin Jajarmi, Dumitru Baleanu, HongGuang Sun

Emergence of death islands in fractional-order oscillators via delayed coupling

Rui Xiao, Zhongkui Sun, Xiaoli Yang, Wei Xu

Fractional calculus via Laplace transform and its application in relaxation processes

E. Capelas de Oliveira, S. Jarosz, J. Vaz

Approximate conservation laws for fractional differential equations

Stanislav Yu. Lukashchuk

Simulations of variable concentration aspects in a fractional nonlinear viscoelastic fluid flow

Amer Rasheed, Muhammad Shoaib Anwar

Extremely low order time-fractional differential equation and application in combustion process

Qinwu Xu, Yufeng Xu

Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection

Ana R. M. Carvalho, Carla M. A. Pinto

Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids

Xiaoping Wang, Haitao Qi, Bo Yu, Zhen Xiong, Huanying Xu

On the local fractional derivative of everywhere non-differentiable continuous functions on intervals

Cheng-shi Liu

Fractal calculus involving gauge function

Alireza K. Golmankhaneh, Dumitru Baleanu

 

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 Paper Highlight

Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions

Lu, Changna; Fu, Chen; Yang, Hongwei

Publication information: APPLIED MATHEMATICS AND COMPUTATION Volume: 327  Pages: 104-116  Published: JUN 15 2018

http://apps.webofknowledge.com/full_record.do?product=UA&search_mode=GeneralSearch&qid=6&SID=8CX7373Fy6uG8GufgmB&page=1&doc=2&cacheurlFromRightClick=no

 

Abstract

Construct fractional order model to describe Rossby solitary waves can provide more pronounced effects and deeper insight for comprehending generalization and evolution of Rossby solitary waves in stratified fluid. In the paper, from the quasi-geostrophic vorticity equation with dissipation effect and complete Coriolis force, based on the multi-scale analysis and perturbation method, a classical generalized Boussinesq equation is derived to describe the Rossby solitary waves in stratified fluid. Further, by employing the reduction perturbation method, the semi-inverse method, the Agrawal method, we derive the Euler-lagrangian equation of classical generalized Boussinesq equation and obtain the time-fractional generalized Boussinesq equation. Without dissipation effect, by using Lie group analysis method, the conservation laws of time-fractional Boussinesq equation are given. Finally, with the help of the improved (G'/G) expansion method, the exact solutions of the above equation are generated. Meanwhile, in order to consider the dissipation effect, we have to derive the approximate solutions by adopting the New Iterative Method. We remark that the fractional order model can open up a new window for better understanding the waves in fluid.

 

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Non-local structural derivative Maxwell model for characterizing ultra-slow rheology in concrete

Xianglong Su, Wen Chen, Wenxiang Xu, Yingjie Liang

Publication information: Construction and Building Materials, Volume 190, 30 November 2018, Pages 342-348

https://www.sciencedirect.com/science/article/pii/S0950061818322700/pdfft?md5=c93db1356aee6828a4991fea63e052e6&pid=1-s2.0-S0950061818322700-main.pdf

 

Abstract

Ultra-slow rheological phenomena have widely been observed in engineering materials. The logarithmic law is normally used to describe the slow rheology, but it does not work well for the long-term ultra-slow rheology. In this paper, we devise a new Maxwell-type viscoelastic model to capture the ultra-slow rheology by using the non-local structural derivative, where the inverse Mittag-Leffler (ML) structural function is adopted. The viscoelastic responses of the ultra-slow Maxwell model are analytically derived, including creep and relaxation. The logarithmic creep law can be regarded as a special case of the ultra-slow Maxwell model. In addition, the proposed model is tested by several experimental data of concrete. Compared with the existed models, the present ultra-slow Maxwell model shows the reasonable accuracy. The derived results indicate that the non-local structural derivative involving the inverse ML function is feasible to capture the ultra-slow rheology of concrete.

 

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The End of This Issue

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