FDA Express Vol. 35, No. 2, May 30, 2020
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Institute of Soft Matter Mechanics, Hohai
University
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◆ Latest SCI Journal Papers on FDA
◆ 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
◆ 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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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
Legendre-collocation spectral solver for variable-order fractional functional differential equations
Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
k-fractional integral inequalities of Hadamard type for (h-m)-convex functions
Impulsive initial value problems for a class of implicit fractional differential equations
A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
A new method for constructing exact solutions for a time-fractional differential equation
The solving integro-differential equations of fractional order with the ultraspherical functions
Generalized fractional controller for singular systems of differential equations
Study of Mainardi's fractional heat problem
Comparison theorems and distributions of solutions to uncertain fractional difference equations
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Call for Papers
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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 modelsTimeline (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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(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)
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
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
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
International Journal of Mechanical Sciences
(Selected)
Geometrically nonlinear analysis of nonlocal plates using fractional calculus
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
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
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
H. Sherief, A. M. Abd El-Latief
M. Bachher, N. Sarkar, A. Lahiri
Non-linear problems of fractional calculus in modeling of mechanical systems
Wiesław Grzesikiewicz, Andrzej Wakulicz, Artur Zbiciak
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
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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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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