FDA Express

FDA Express    Vol. 35, No. 2, May 30, 2020

 

All issues: http://jsstam.org.cn/fda/

Editors: http://jsstam.org.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: shuhong@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_Vol35_No2_2020.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on May 30, 2020)

 

  Call for Papers

Modeling, Prediction and Control of COVID-19 Spreading Dynamics (Special Issue in ISA Transactions)

 

◆  Books

Complex Analysis. Theory and Applications

 

◆  Journals

Fractional Calculus and Applied Analysis

International Journal of Mechanical Sciences

 

  Paper Highlight

Asymptotic Behavior of the Solution of the Space Dependent Variable Order Fractional Diffusion Equation: Ultraslow Anomalous Aggregation

Multi-Objective Evolutionary Optimization & 4E analysis of a bulky combined cycle power plant by CO2/ CO/ NOx reduction and cost controlling targets

 

  Websites of Interest

Fractal Derivative and Operators and Their Applications

Fractional Calculus & Applied Analysis

 

 

 

 

 

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 Latest SCI Journal Papers on FDA

------------------------------------------

(Searched on May 30, 2020)



 Modified Sliding-Mode Control Method for Synchronization a Class of Chaotic Fractional-Order Systems with Application in Encryption

By: Naderi, Bashir; Kheiri, Hossein; Vafaei, Vajiheh
ISECURE-ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY Volume: 12 Issue: 1 Pages: 55-66 Published: WIN-SPR 2020


 Neumann method for solving conformable fractional Volterra integral equations

By: Ilie, Mousa; Biazar, Jafar; Ayati, Zainab
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 54-68 Published: WIN 2020


 Legendre-collocation spectral solver for variable-order fractional functional differential equations

By: Hafez, Ramy Mahmoud; Youssri, Youssri Hassan
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 99-110 Published: WIN 2020


 Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter

By: Najafi, Ramin
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 111-118 Published: WIN 2020


 k-fractional integral inequalities of Hadamard type for (h-m)-convex functions

By: Farid, Ghulam; Rehman, Atiq Ur; Ul Ain, Qurat
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 119-140 Published: WIN 2020


 Impulsive initial value problems for a class of implicit fractional differential equations

By: Shaikh, Amjad Salim; Sontakke, Bhausaheb R.
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 141-154 Published: WIN 2020


 A Study on Functional Fractional Integro-Differential Equations of Hammerstein type

By: Saeedi, Leila; Tari, Abolfazl; Babolian, Esmail
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 173-193 Published: WIN 2020


 A new method for constructing exact solutions for a time-fractional differential equation

By: Lashkarian, Elham; Hejazi, Seyed Reza; Habibi, Noora
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 194-204 Published: WIN 2020


 The solving integro-differential equations of fractional order with the ultraspherical functions

By: Panahi, Saeid; Khani, Ali
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 205-211 Published: WIN 2020


 Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations

By: Aliev, Fikrat Ahmadali; Aliev, Nihan; Safarova, Nargis; etc..
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 212-221 Published: WIN 2020


 Mean square convergent numerical solutions of random fractional differential equations: Approximations of moments and density

By: Burgos, C.; Cortes, J-C; Villafuerte, L.; etc..
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Generalized fractional controller for singular systems of differential equations

By: Dassios, Ioannis; Tzounas, Georgios; Milano, Federico
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Fractional derivative for interpolation in R-n and SO(n) applications in functionally graded materials and rigid body transformations

By: Hua, Hao; Hovestadt, Ludger; Li, Biao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations

By: Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; etc..
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Study of Mainardi's fractional heat problem

By: Saifia, O.; Boucenna, D.; Chidouh, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Relative controllability of fractional delay differential equations via delayed perturbation of Mittag-Leffler functions

By: You, Zhongli; Feckan, Michal; Wang, JinRong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 378 Published: NOV 2020


 Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method

By: Babaei, A.; Jafari, H.; Banihashemi, S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 377 Published: OCT 15 2020


 Comparison theorems and distributions of solutions to uncertain fractional difference equations

By: Lu, Qinyun; Zhu, Yuanguo
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 376 Published: OCT 1 2020

 

 

 

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Call for Papers

------------------------------------------

Modeling, Prediction and Control of COVID-19 Spreading Dynamics

(Special Issue in ISA Transactions)

This call invites the sensor instrumentation and control automation community to contribute from different perspectives using multidisciplinary approach to the studies of COVID-19. Modeling, analysis and control insights can be very useful for us to explain and predict the complex COVID-19 spreading dynamics and hence to devise the best mitigation or control strategies to contain the contagion and treat COVID-19 infected patients.
Understanding the spreading dynamics is critical to decision makers and policy makers too. The richness of models for COVID-19, with differing structures, varied epidemiological scenarios, parameters and presentation, and sometimes conflicting projections, is also a challenge for decision-makers. GEP Box once said “All models are wrong but some of them are useful”, thus it is critical for all modelers to address the “usefulness” of any model proposed. In other words, it is necessary to justify the existence of the proposed model among many other existing options. Among three main purposes of “modeling”: prediction, control/monitoring, training/education, we wish to suggest to consider “control” aspect. For example, mitigation measures can be considered as a control measure to flatten the curve. When we turn down from the peak, re-opening policies should be considered as a closed-loop control problem. For example, it is very interesting and useful to study the best relaxing policies for social distancing. This Special Issue welcomes paper submissions considering the above new topics using real world data.


Topics (not limited to):

-Mathematical/epidemiological predictive models
-Mitigation policy design and effectiveness evaluation
-Mitigation policy as a sense-and-control problem
-Re-opening policy design and effectiveness evaluation
-Re-opening policy as a sense-and-control problem
-Modeling and control in COVID-19 related equipment such as 3D prints for ventilators, disinfection robots etc.
-Deep learning applications in COVID-19 spreading dynamics
-Uncertain quantification and statistic inference in COVID-19 spreading dynamics
-Identifiability and controllability studies for data-driven models of the pandemic.

Timeline (subject to change):

Submission deadline: 7/30/2020
Review completed: 8/30/2020;
Revised manuscripts due: 27 September 2020
Published online: 10/30/2020

All details on this special section are now available at: https://www.journals.elsevier.com/isa-transactions/call-for-papers/special-issue-on-modeling-prediction-and-control-of-covid-19?from=singlemessage.




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Books

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Complex Analysis; Theory and Applications

(Authors: Teodor Bulboacǎ, Santosh B. Joshi and Pranay Goswami)

Details:https://doi.org/10.1515/9783110657869

Introduction

Complex analysis, as it is known today, is a result of over 500 years of mathematical development that has had tremendous influence in mathematics, physics and engineering. The classical theory of Complex analysis, which is the topic of the current book, appeared due to the works of a galaxy of famous mathematicians, from with N.F. Tartaglia, G. Cardano, R. Descartes, through L. Euler, J-R. Argand, C. Wessel, C.F. Gauss, to A. Cauchy, B. Riemann, F. Klein, H. Poincar ́e and many others.
This book is an in-depth and modern presentation of important clas- sical results in complex analysis and it is suitable for a first course on the topic. The level of difficulty increases gradually from chapter to chapter. Each chapter contains many exercises with solutions and applications of the results, showing a variety of solution techniques. Rich in of various examples, this book is simply excellent.

Contents:

- Chapter 1 introduces the concept of complex numbers, and their arithmetic and geometric properties. Using a stereographic projection, the authors introduce the one-point compactification of the complex plane, the Riemann sphere.
- Chapter 2 studies complex valued functions, and various notions of differentiability of such functions, a nd culminates with the concept of a holomorphic function. The presentation of their basic properties ends with the Cauchy–Riemann equations. This chapter ends with a detailed overview of elementary entire functions and M ̈obius transformations that are needed in the remaining chapters.
- Chapter 3 starts with the definitions of paths and complex integrals and it is followed by the Cauchy theorem and its consequences: the fun- damental theorem of algebra, the Cauchy integral formula for holomorphic functions defined on the disc and the Morera theorem establishing suffi- cient conditions for holomorphy. The chapter ends with many applications including the theory of multivalent functions.
- Chapter 4 characterizes holomorphic functions by their local analytic properties via power series expansions. Important theorems on the zeroes of holomorphic functions, the uniqueness of holomorphic functions, the max- imum modulus principle, the Schwarz lemma, Laurent series expansions, isolated singular points and some basic results on meromorphic functions are presented.
- Chapter 5 develops the theory of residues and its principal applications: the computation of a variety of trigonometric and improper integrals. The authors also apply the theory of residues to the study of zeros and poles of meromorphic functions, the principle of the argument and the Rouch ́e the- orem. This chapter ends with the open mapping theorem for nonconstant holomorphic functions and its topological consequences.
- Chapter 6 starts with the fundamental theorems of Montel, Vitali and Hurwitz and it is then devoted to the topic of conformal mappings, univa- lent functions and the Riemann mapping theorem.
- Chapter 7 contains the solutions of all exercises that appeared at the end of the previous chapters using a variety of solution techniques.



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 Journals

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Fractional Calculus and Applied Analysis

 (Volume 23, Issue 2 Apr 2020)

 


 Porous functions – II

Iryna Trymorush and Igor Podlubny


 On a non–local problem for a multi–term fractional diffusion-wave equation

Michael Ruzhansky, Niyaz Tokmagambetov and Berikbol T. Torebek


 A class of linear non-homogenous higher order matrix fractional differential equations: Analytical solutions and new technique

Ahmad El-Ajou, Moa’ath N. Oqielat, Zeyad Al-Zhour and Shaher Momani


 Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions

Ferenc Izsák and Gábor Maros


 Global existence and large time behavior of solutions of a time fractional reaction diffusion system

Ahmed Alsaedi, Bashir Ahmad, Mokhtar Kirane and Rafika Lassoued


 Evaluation of fractional order of the discrete integrator. Part II

Piotr Ostalczyk, Marcin Bąkała, Jacek Nowakowski and Dominik Sankowski


 Subordination principle for fractional diffusion-wave equations of Sobolev type

Rodrigo Ponce


 Time-changed fractional Ornstein-Uhlenbeck process

Giacomo Ascione, Yuliya Mishura and Enrica Pirozzi


 Fractional problems with critical nonlinearities by a sublinear perturbation

Lin Li and Stepan Tersian


 New finite-time stability analysis of singular fractional differential equations with time-varying delay

Nguyen T. Thanh, Vu N. Phat and Piyapong Niamsup


 Reflection properties of zeta related functions in terms of fractional derivatives

Erasmo M. Ferreira, Anderson K. Kohara and Javier Sesma


 α-fractionally convex functions

Neelam Singha and Chandal Nahak


 On the kinetics of Hadamard-type fractional differential systems

Li Ma


 Asymptotic stability of fractional difference equations with bounded time delays

Mei Wang, Baoguo Jia, Feifei Du and Xiang Liu


 The continuation of solutions to systems of caputo fractional order differential equations

Cong Wu and Xinzhi Liu

 

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International Journal of Mechanical Sciences

 (Selected)

 


 Geometrically nonlinear analysis of nonlocal plates using fractional calculus

Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti


 Vibration analysis of pipes conveying fluid resting on a fractional Kelvin-Voigt viscoelastic foundation with general boundary conditions

A. R. Askarian, M. R. Permoon, M. Shakouri


 On selected aspects of space-fractional continuum mechanics model approximation

Krzysztof Szajek, Wojciech Sumelka, Tomasz Blaszczyk, Krzysztof Bekus


 Vibration analysis of complex fractional viscoelastic beam structures by the wave method

Jun Xu, Yandong Chen, Yongpeng Tai, Xiaomei Xu, Guodong ShiNing Chen


 Fractional rheological model of a metal alloy in the study vibrations of an axially moving aluminum beam in thermal environment

K. Marynowski


 Elastoplastic modelling of mechanical behavior of rocks with fractional-order plastic flow

Peng-Fei Qu, Qi-Zhi Zhu, Yi-Fei Sun


 A generalised fractional derivative model to represent elastoplastic behaviour of metals

Joseba Mendiguren, Fernando Cortés, Lander Galdos


 Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity

H. Sherief, A. M. Abd El-Latief


 Generalized thermoelastic infinite medium with voids subjected to a instantaneous heat sources with fractional derivative heat transfer

M. Bachher, N. Sarkar, A. Lahiri


 Non-linear problems of fractional calculus in modeling of mechanical systems

Wiesław Grzesikiewicz, Andrzej Wakulicz, Artur Zbiciak


 Nonreciprocal transmission of nonlinear elastic wave metamaterials by incremental harmonic balance method

Lin-Shuai Wei, Yi-Ze Wang, Yue-Sheng Wang


 Effective algorithm for two-dimensional frictional system involving arbitrary impacting boundaries

Xiaosun Wang, Deng Zhao, Shijing Wu, Xiaofeng Li, Hao Yuan, Qiaoquan Li


 Modeling the thermomechanical behaviors of short fiber reinforced shape memory polymer composites

Hao Zeng, Jinsong Leng, Jianping Gu, Huiyu Sun

 

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 Paper Highlight

Asymptotic Behavior of the Solution of the Space Dependent Variable Order Fractional Diffusion Equation: Ultraslow Anomalous Aggregation

Sergei Fedotov, Daniel Han  

Publication information: Physical Review Letters 123, 050602 (2019), Published 31 July 2019

https://doi.org/10.1103/PhysRevLett.123.050602


Abstract

We find the asymptotic representation of the solution of the variable-order fractional diffusion equation, which remains unsolved since it was proposed by Chechkin, Gorenflo, and Sokolov [J. Phys. A, 38, L679 (2005)]. We identify a new advection term that causes ultraslow spatial aggregation of subdiffusive particles due to dominance over the standard advection and diffusion terms in the long-time limit. This uncovers the anomalous mechanism by which nonuniform distributions can occur. We perform Monte Carlo simulations of the underlying anomalous random walk and find excellent agreement with the asymptotic solution.

 

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Multi-Objective Evolutionary Optimization & 4E analysis of a bulky combined cycle power plant by CO2/ CO/ NOx reduction and cost controlling targets

 Soheil Mohtaram, HongGuang Sun, Ji Lin, Wen Chen, Yonghui Sun

Publication information: Renewable and Sustainable Energy Reviews, Volume 128, August 2020
https://doi.org/10.1016/j.rser.2020.109898


 

Abstract

The 4E analysis is utilized on a bulky combined cycle power plant (CCPP) with a dual pressure recovery boiler and an additional duct burner. Multi-objective evolutionary optimizations have been applied to obtain the best state of the heat recovery steam generator (HRSG), saturated temperature, cost reduction, and carbon dioxide emission, simultaneously. For the validation, the authentic data has been collected from an implemented CCPP. This comprehensive study has been performed to perceive the relation between the most significant parameters on the performance of CCPP. The main obtained results include five points. First, the thermal recovery boiler and combustion chamber have the highest exergy destruction among the power plant components. Second, the optimization based on the entire cycle at all temperatures has no economic justification, and its total exergy efficiency and cost are better than optimizations based on the recovery boiler and HRSG. Third, the value of the CCPP decision parameters is highly dependent on the ambient temperature. Therefore, it is not possible to apply the same value for CCPP at various temperatures. Fourth, the genetic algorithm improved the optimized cycle parameters by considering two objectives of the power plant costs reduction and CO2 emission. Fifth, the combined cycle with the nameplate function generates less NOx and monoxide than relative loads. Using such combined cycles with dual pressure recovery boiler and additional duct reduces the normalized Co2 emissions by 158.67 kg/MWh.

Highlights

-The 4E analysis is utilized on a bulky CCPP with a dual pressure recovery boiler and an additional duct burner.

-Multi-objective evolutionary optimization is applied to obtain the best state of the HRSG, cost reduction, and CO2 emission.

-For the validation, the authentic data has been collected from an implemented CCPP.

 

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The End of This Issue

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