FDA Express Vol. 43, No. 2, May 31, 2022
FDA Express Vol. 43, No. 2, May 31, 2022
All issues: http://jsstam.org.cn/fda/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: jyh17@hhu.edu.cn, fda@hhu.edu.cn
For subscription: http://jsstam.org.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol 43_No 2_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Fractional Calculus, Control Theory and Applications
6th Conference on Numerical Methods for Fractional-derivative Problems
◆ Books Fractional Derivative Modeling in Mechanics and Engineering ◆ Journals Applied Mathematics and Computation Fractional Calculus and Applied Analysis ◆ Paper Highlight
Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA ------------------------------------------
Some evaluations of the fractional p-Laplace operator on radial functions
By: Colasuonno, F; Ferrari, F; etc.
MATHEMATICS IN ENGINEERING Volume: 5 Published: 2023
By: Ibrahim, RW and Baleanu, D
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page:432-441 Published: Dec 31 2022
By: Patel, HR and Shah, VA
AUTOMATIKA Volume:63 Page:656-675 Published: Dec 2 2022
By:Barakat, M
PROTECTION AND CONTROL OF MODERN POWER SYSTEMS Volume: 7 Published: Dec 2022
On generalized fractional integral with multivariate Mittag-Leffler function and its applications
By: Nazir, A; Rahman, G; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 9187-9201 Published: Nov 2022
By: Zafari, A; Mehrasa, M; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 69 Page: 10192-10201 Published: Oct 2022
By:Ben Makhlouf, A and Boucenna, D
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume:51 Page:1541-1551 Published: Oct 2022
A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag-Leffler function
By:Omame, A; Nwajeri, UKK; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:7619-7635 Published: Oct 2022
Stochastic stability analysis of a fractional viscoelastic plate excited by Gaussian white noise
By: Hu, DL; Mao, XC and Han, L
MECHANICAL SYSTEMS AND SIGNAL PROCESSING Volume: 177 Published: Sep 1 2022
A Tikhonov regularization method for solving a backward time-space fractional diffusion problem
By:Feng, XL; Zhao, MX and Qian, Z
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 411 Published: Sep 2022
By:Zhang, Y; Wei, T and Yan, XB
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 411 Published: Sep 2022
By: Butt, AIK; Ahmad, W; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 7007-7027 Published: Sep 2022
Fractional Moisil-Teodorescu operator in elasticity and electromagnetism
By:Bory-Reyes, J; Perez-de la Rosa, MA and Pena-Perez, Y
IEEE TRANSACTIONS ON POWER ELECTRONICS Volume: 61 Page:6811-6818 Published: Sep 2022
Computational and numerical simulations of nonlinear fractional Ostrovsky equation
By:Omri, M; Abdel-Aty, AH; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:6887-6895 Published: Sep 2022
Fractional order model for complex Layla and Majnun love story with chaotic behaviour
By: Farman, M; Akgul, A; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:6725-6738 Published: Sep 2022
By: Jothilakshmi, G; Vadivoo, BS; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 410 Published: Aug 15 2022
A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions
By:Yazdani, A; Momeni, H and Cheichan, MS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 410 Published:Aug 15 2022 |
By:Khan, H; Alam, K; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 198 Page:455-473 Published: Aug 2022
Application of modified extended tanh method in solving fractional order coupled wave equations
By: Dubey, S and Chakraverty, S
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 198 Page:509-520 Published: Aug 2022
========================================================================== Call for Papers ------------------------------------------
Fractional Calculus, Control Theory and Applications
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional models have become increasingly relevant for dealing with some phenomena in a wide array of scientific and technological fields.
This is the case because it has become clear that such models are more likely to capture effects such as anomalous phenomena, and more generally phenomena with memory effects, contrary to the traditional models of ordinary and partial differential equations. Although fractional calculus is almost as old as calculus itself, the realization of its usefulness for concrete models is rather recent. A few examples of its applications in this field include material science, rheology, and anomalous diffusion.
Along with the models under consideration, one naturally must consider the control-theoretic aspects thereto associated.
The present volume aims to collect original research papers and surveys with meaningful contributions to fractional calculus in relation to its applications to phenomena in the physical and biological sciences and beyond, as well as the controllability, observability, and stabilizability properties of fractional differential equations, and corresponding numerical aspects. It is intended to provide results which will also be accessible to those interested in implementing the models in concrete situations in the industrial and economic contexts.
Keywords:
- Fractional PDEs
- Controllability, observability and stabilizability
- Optimization, optimal control
- Applications to life science
- Nonlocal PDEs
Organizers:
Prof. Dr. Mahamadi Warma
Prof. Dr. Valentin Keyantuo
Prof. Dr. Carlos Lizama
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 June 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FCCTA.
6th Conference on Numerical Methods for Fractional-derivative Problems
( August 11-13, 2022 )
Dear Colleagues: In recent years there has been an explosion of research activity in numerical methods for fractional-derivative(FD) differential equations. Much of the published work has been concerned with solutions to FD problems that are globally smooth --- but simple examples show that for given smooth data, the solutions to FD problems typically have weak singularities at some boundary of the domain, so globally smooth solutions are very unusual.
This conference will focus on the numerical solution of more typical (and more difficult) FD problems whose solutions exhibit weak singularities. As the definitions of fractional derivatives are nonlocal, there is also the issue of how to avoid excessive memory storage and expensive calculations in their implementation. Thus there are two objectives to this research:
(i) the design and analysis of methods (finite difference, finite element, ...) for FD problems;
(ii) the efficient computation of numerical solutions.
Keywords:
- Finite difference
- Finite element
- The efficient computation of numerical solutions
Important Dates:
Deadline for manuscript submissions: for registration and abstract submission will be in July 2022--details for this will appear later.
All details on this conference are now available at: http://www.csrc.ac.cn/en/event/workshop/2022-05-25/113.html.
=========================================================================== Books ------------------------------------------
( Authors: Wen Chen, HongGuang Sun, Xicheng Li )
Details:https://doi.org/10.1007/978-981-16-8802-7 Book Description: This book highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also summaries the latest findings, such as variable order derivative, distributed order derivative, and its applications. The book avoids lengthy mathematical demonstrations and presents the theories related to the applications in an easily readable manner. This textbook intends for students, researchers, and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.
Author Biography:
Dr. Wen Chen is a Distinguished Professor and former Dean of the College of Mechanics and Materials at Hohai University, China. His research covers computational mechanics, hydrodynamics, and acoustics. His research interests include RBF-based numerical simulation, anomalous diffusion, and non-local statistics of soft matter mechanics. He also serves as Associate Director of the Chinese Society of Environmental Mechanics and the TC member on Linear Control Systems of the International Federation of Automatic Control. He is former TC Chair of the sector in computational mechanics software, China Mechanics Society.
Dr. Hongguang Sun works as a Professor in the College of Mechanics and Materials, Director of Sino-US Joint Research Center of Groundwater and Environmental Fluid Mechanics, and Deputy Director of the Institute of Hydraulics and Fluid Mechanics, Hohai University, China. His main research interests include simulation and remediation of groundwater and soil pollution, sediment transport, and high-precision computational mechanics.
Dr. Xicheng Li works as an Associate Professor at the School of Mathematical Sciences, the University of Jinan, China. He has been engaged in theoretical and applied research of fractional calculus, especially fractional derivative modeling of anomalous diffusion. He is also done much exploration in modeling heat and mass transfer and solving fractional differential equations.
Contents:
Front Matter
Introduction
Abstract; History of Fractional Calculus; Geometric and Physical Interpretation of Fractional Derivative Equation; Application in Science and Engineering; Anomalous Diffusion Modeling in Environmental Mechanics; Constitutive Relation of Viscoelasticity; Biomedical Science; System Control; References;
Mathematical Foundation of Fractional Calculus
Abstract; Definition of Fractional Calculus; Properties of Fractional Calculus; Fourier and Laplace Transforms of the Fractional Calculus; Analytical Solution of Fractional-Order Equations; Questions and Discussions; Notes; References;
Fractal and Fractional Calculus
Abstract; Fractal Introduction and Application; The Relationship Between Fractional Calculus and Fractal; References;
Fractional Diffusion Model, Anomalous Statistics and Random Process
Abstract; The Fractional Derivative Anomalous Diffusion Equation; Statistical Model of the Acceleration Distribution of Turbulence Particle;Lévy Stable Distributions; Stretched Gaussian Distribution; Tsallis Distribution; Ito Formula; Random Walk Model; Discussion; References;
Typical Applications of Fractional Differential Equations
Abstract; Power-Law Phenomena and Non-Gradient Constitutive Relation; Fractional Langevin Equation; The Complex Damped Vibration; Viscoelastic and Rheological Models; The Power-Law Frequency Dependent Acoustic Dissipation; The Fractional Variational Principle of Mechanics; Fractional Schrödinger Equation; Other Application Fields; Variable-Order, Distributed-Order and Random-Order Fractional Derivative Models with Its Applications; Some Applications of Fractional Calculus in Biomechanics; Some Applications of Fractional Calculus in the Modeling of Drug Release Process; References;
Numerical Methods for Fractional Differential Equations
Abstract; Time-Fractional Differential Equations (TFDEs); Space Fractional Differential Equations (SFDEs); Open Issues of Numerical Methods for FDEs; Numerical Methods for Fractal Derivative Equations; Numerical Methods for Positive Fractional Derivative Equations; References;
Current Development and Perspectives of Fractional Calculus
Abstract; Summary and Discussion; Perspectives;
Back Matter
======================================================================== Journals ------------------------------------------ (Selected) Zhi-Yong Zhang, Cheng-Bao Liu A. Torres-Hernandez, F. Brambila-Paz, R. Montufar-Chaveznava Ying Guo, Yuze Li Yi Liu, Xiaoqing Chi, Xiaoyun Jiang Hailian Tan, Jianwei Wu, Haibo Bao Lu-Yao Sun, Zhi-Wei Fang, etc. Tahereh Eftekhari, Jalil Rashidinia Wei Chen, Yongguang Yu, etc. Qing Li, Huanzhen Chen, etc. Qiang Yu, Ian Turner B. S. Vadivoo, G. Jothilakshmi Xiao Li, Xiaoying Meng, Bo Xiong. Qifeng Zhang, Cuicui Sun, etc. Senbao Jiang, Xiaofan Li. Jinghua Ning, Changchun Hua Fractional Calculus and Applied Analysis (Volume 25, issue 1) Eric Darve, Marta D’Elia, Roberto Garrappa, Andrea Giusti, Natalia L. Rubio Mirko D’Ovidio Serena Dipierro, Aleksandr Dzhugan, Enrico Valdinoci Ravshan Ashurov, Sabir Umarov Vassili Kolokoltsov Kai Diethelm, Hoang The Tuan Mark Edelman, Avigayil B. Helman Yuri Luchko Nicos Georgiou, Enrico Scalas Luisa Beghin, Alessandro De Gregorio Tillmann Kleiner, Rudolf Hilfer Boris Baeumer, Mihály Kovács, Matthew Parry ======================================================================== Paper Highlight Computation of the inverse Mittag–Leffler function and its application to modeling ultraslow dynamics Yingjie Liang, Yue Yu, Richard L. Magin
Event-triggered impulsive synchronization of fractional-order coupled neural networks
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations
Numerical analysis for compact difference scheme of fractional viscoelastic beam vibration models
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging
A fractional variational image denoising model with two-component regularization terms
H∞ output feedback control for fractional-order T-S fuzzy model with time-delay
On the fractional Laplacian of variable order
Fractional boundary value problems
Integral operators defined “up to a polynomial”
An inverse problem of determining orders of systems of fractional pseudo-differential equations
Upper and lower estimates for the separation of solutions to fractional differential equations
Asymptotic cycles in fractional maps of arbitrary positive orders
Convolution series and the generalized convolution Taylor formula
Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution
Stochastic solutions for time-fractional heat equations with complex spatial variables
Sequential generalized Riemann–Liouville derivatives based on distributional convolution
Publication information: Fractional Calculus and Applied Analysis: Published: 25 April 2022
https://doi.org/10.1007/s13540-022-00020-8 Abstract The inverse Mittag–Leffler function has been used to model the logarithmic growth of the mean squared displacement in anomalous diffusion, the restricted mobility of membrane proteins, and the slow viscoelastic creep observed in glasses. These applications are hindered because the inverse Mittag–Leffler function has no explicit form and cannot be approximated by existing methods in the domain x∈(0,+∞). This study proposes a conversion method to compute the inverse Mittag–Leffler function in terms of the Mittag–Leffler function. The new method uses the one- and two-parameter Mittag–Leffler function to compute the inverse Mittag–Leffler function in the target domain. We apply this method to fit data collected in studies of: (i) the ultraslow mobility of beta-barrel proteins in bacterial membranes, (ii) the ultraslow creep observed in high strength self-compacting concrete, and (iii) the ultraslow relaxation seen in various glasses. The results show that the inverse Mittag–Leffler function can capture ultraslow dynamics in all three cases. This method may also be extended to other generalized logarithmic laws. Keywords Inverse Mittag–Leffler function (primary ); Mittag–Leffler function; Ultraslow diffusion; Ultraslow relaxation; Ultraslow creep ------------------------------------- Peter DieterichID1, Otto Lindemann, etc. Publication information: PLoS Computational Biology: Published: May 18, 2022 Abstract The motility of neutrophils and their ability to sense and to react to chemoattractants in their environment are of central importance for the innate immunity. Neutrophils are guided towards sites of inflammation following the activation of G-protein coupled chemoattractant receptors such as CXCR2 whose signaling strongly depends on the activity of Ca2+ permeable TRPC6 channels. It is the aim of this study to analyze data sets obtained in vitro (murine neutrophils) and in vivo (zebrafish neutrophils) with a stochastic mathematical model to gain deeper insight into the underlying mechanisms. The model is based on the analysis of trajectories of individual neutrophils. Bayesian data analysis, including the covariances of positions for fractional Brownian motion as well as for exponentially and power-law tempered model variants, allows the estimation of parameters and model selection. Our model-based analysis reveals that wildtype neutrophils show pure superdiffusive fractional Brownian motion. This so-called anomalous dynamics is characterized by temporal long-range correlations for the movement into the direction of the chemotactic CXCL1 gradient. Pure superdiffusion is absent vertically to this gradient. This points to an asymmetric ‘memory’ of the migratory machinery, which is found both in vitro and in vivo. CXCR2 blockade and TRPC6-knockout cause tempering of temporal correlations in the chemotactic gradient. This can be interpreted as a progressive loss of memory, which leads to a marked reduction of chemotaxis and search efficiency of neutrophils. In summary, our findings indicate that spatially differential regulation of anomalous dynamics appears to play a central role in guiding efficient chemotactic behavior.. Author summary: Neutrophil granulocytes are essential for the first host defense. After leaving the blood circulation they migrate efficiently towards sites of inflammation. They are guided by chemoattractants released from cells within the inflammatory foci. On a cellular level, directional migration is a consequence of cellular front-rear asymmetry which is induced by the concentration gradient of the chemoattractants. The generation and maintenance of this asymmetry, however, is not yet fully understood. Here we analyzed the paths of chemotacting neutrophils with different stochastic models to gain further insight into the underlying mechanisms. Wildtype chemotacting neutrophils show an anomalous superdiffusive behavior. CXCR2 blockade and TRPC6-knockout cause the tempering of temporal correlations and a reduction of chemotaxis. Importantly, such tempering is found both in vitro and in vivo. These findings indicate that the maintenance of anomalous dynamics is crucial for chemotactic behavior and the search efficiency of neutrophils. ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis
https://doi.org/10.1371/journal.pcbi.1010089