FDA Express Vol. 44, No. 1, Jul. 31, 2022
FDA Express Vol. 44, No. 1, Jul. 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 44_No 1_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
ICFCA 2022: 16. International Conference on Fractional Calculus and its Applications
◆ Books Regional Analysis of Time-Fractional Diffusion Processes ◆ Journals Fractional Calculus and Applied Analysis ◆ Paper Highlight
Improved Maxwell model with structural dashpot for characterization of ultraslow creep in concrete
Spatial fractional permeability and fractional thermal conductivity models of fractal porous medium
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Pandey, D; Pandey, RK and Agarwal, RP
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:203 Page:28-43 Published: Jan 2023
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: Talib, I; Raza, A; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume:16 Page:608-620 Published: Dec 31 2022
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:Che, H; Yu-Lan, W and Zhi-Yuan, L
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 202 Page: 149-163 Published: Dec 2022
By:Ma, YK; Raja, MM; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume:61 Page:9929-9939 Published:Dec 2022
An interpretation on controllability of Hilfer fractional derivative with nondense domain
By:Ravichandran, C; Jothimani, K; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:9941-9948 Published: Dec 2022
By: Khatun, MA; Arefin, MA; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:9949-9963 Published: Dec 2022
By:Shah, NA; Wakif, A; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:10045-10053 Published: Dec 2022
Modulation instability in fractional Schrodinger equation with cubic-quintic nonlinearity
By:Zhang, JG
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS Volume: 31 Published:Dec 2022
The analysis of the fractional-order system of third-order KdV equation within different operators
By: Aljahdaly, NH; Shah, RS; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 11825-11834 Published: Dec 2022
By:Zaman, UHM; Arefin, MA; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:11947-11958 Published: Dec 2022
By:Martinez, R; Macias-Diaz, J and Sheng, Q
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 202 Page:1-21 Published: Dec 2022
New results for the stability of fractional-order discrete-time neural networks
By: Hioual, A; Oussaeif, TE; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:10359-10369 Published: Dec 2022
By:Abu Arqub, O; Osman, MS; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:10539-10550 Published: Dec 2022
Time fractional of nonlinear heat-wave propagation in a rigid thermal conductor: Numerical treatment
By:Sweilam, NH; Abou Hasan, MM; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 10153-10159 Published:Dec 2022 |
By:Barakat, M
PROTECTION AND CONTROL OF MODERN POWER SYSTEMS Volume: 7 Published: Dec 2022
A brief note on fractal dynamics of fractional Mandelbrot sets
By:Wang, YP; Li, XD; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 432 Published: Nov 1 2022
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
( A special issue of Fractal and Fractional )
Dear Colleagues: Nowadays, advances in the knowledge of nonlinear dynamical systems and processes as well as their unified repercussions allow us to include some typical complex phenomena taking place in nature, from nanoscale to galactic scale, in a unitary comprehensive manner. After all, any of these systems called generic dynamical systems, chaotic systems or fractal systems have something essential in common and can be considered to belong to the same class of complex phenomena, discussed here. The available physical, biological and financial data and technological (mechanical or electronic devices) complex systems can be managed by the same conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics methods. Currently, the utilization of fractional-order partial differential equations in real physical systems is commonly encountered in the fields of theoretical science and engineering applications. This means that the productive, efficacious computational tools required for analytical and numerical estimations of such physical models, and our reliance on their development in referenced works, are welcome. Chaotic instabilities in the mathematical physics theory, fractal-type spatiotemporal behaviors in the field theory, nonlinear dynamic processes in plasma complex structures, fractional calculus and novel algorithms to solve fractional-order derivatives of classic problems are expected.
Keywords:
- Chaotic systems
- Fractal systems
- Fractal-type field theory
- Fractal analysis
- Fractional calculus
- Fractional-order derivatives algorithms
- Fractional derivatives neural networks
- Image processing
- Fractional diffusion
- Nonlinear dynamics
- Time series method
- Diffusion process
- Control theory
- Mathematical modeling
Organizers:
Prof. Dr. Viorel-Puiu Paun
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 September 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/complex_system.
ICFCA 2022: 16. International Conference on Fractional Calculus and its Applications
( December 09-10, 2022 in London, United Kingdom )
Dear Colleagues: Prospective authors are kindly encouraged to contribute to and help shape the conference through submissions of their research abstracts, papers and e-posters. Also, high quality research contributions describing original and unpublished results of conceptual, constructive, empirical, experimental, or theoretical work in all areas of Fractional Calculus and its Applications are cordially invited for presentation at the conference. The conference solicits contributions of abstracts, papers and e-posters that address themes and topics of the conference, including figures, tables and references of novel research materials.
Keywords:
- Fractional differential equations
- Fractional integral equations
- Fractional integro-differential equations
- Fractional integrals and fractional derivatives associated with special functions of mathematical physics
- Inequalities and identities involving fractional integrals and fractional derivatives
Organizers:
Vasos Pavlika, SOAS, University of London, United Kingdom
Anilkumar Devarapu, University of North Georgia, United States
Xuezhang Hou, Towson University, United States
Christina Pospisil, University of Salvador, United States
Important Dates:
Deadline for manuscript submissions: August 16, 2022.
All details on this conference are now available at: https://waset.org/fractional-calculus-and-its-applications-conference-in-december-2022-in-london.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Fudong Ge, YangQuan Chen, Chunhai Kou )
Details:https://doi.org/10.1007/978-3-319-72896-4 Book Description: This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest.
The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security.
Academics and graduate students working with cyber-physical and distributed systems or interested in the the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.
Author Biography:
Fudong Ge earned his a Ph.D. in College of Information Science and Technology of Donghua University, Shanghai, China. He joined the MESA Lab of the University of California, Merced from October, 2014 to October, 2015 as a China Scholarship Council Exchange Ph.D. student hosted by Prof. YangQuan Chen. Since July 2016, he has been an associate professor in the School of Computer Science, China University of Geosciences, Wuhan. He is also with Hubei Key Laboratory of Intelligent Geo-Information Processing of the China University of Geosciences. His research interests include existence, uniqueness, stability issues of the solutions of the fractional (partial) differential equations; modeling of continuous time random walks and the anomalous diffusion processes; distributed measurement and distributed control problems in generalized distributed parameter systems with applications in cyber-physical systems in general form.
YangQuan Chen earned his Ph.D. from Nanyang Technological University, Singapore, in 1998. He was a faculty of Electrical Engineering at Utah State University from 2000-2012. He joined the School of Engineering, University of California, Merced in 2012 teaching “Mechatronics”, “Engineering Service Learning” and “Unmanned Aerial Systems” for undergraduates and “Fractional Order Mechanics” and “Nonlinear Controls” for graduates. His current research interests include mechatronics for sustainability, cognitive process control, small multi-UAV based cooperative multi-spectral “personal remote sensing” and applications, applied fractional calculus in controls, modeling and complex signal processing; distributed measurement and distributed control of distributed parameter systems using mobile actuator and sensor networks. He has been the Co-Chair for IEEE RAS Technical Committee (TC) on Unmanned Aerial Vehicle and Aerial Robotics (2012-2018).
Chunhai Kou received his Ph.D. degree from Shanghai Jiao Tong University, Shanghai, China, in 2002. He joined the Department of Science, Donghua University in 2004 where he teaches “Stability Analysis of Nonlinear Differential Equations”, “Basic Theory of Ordinary Differential Equations”, “Theory and Applications of Fractional Differential Equations” and “Mathematical Analysis”. His current research interests include the stability analysis of differential equations based on the Lyapunov theory; basic theory of differential inclusions; applied fractional calculus in controls; existence, uniqueness, stability issues of solutions of the fractional (partial) differential equations, the control and analysis of the general distributed parameter systems.
Contents:
Front Matter
Introduction
Abstract; Cyber-Physical Systems and Distributed Parameter Systems; New Challenges; Continuous Time Random Walk and Fractional Dynamics Approach; Regional Analysis via Actuators and Sensors; References;
Preliminary Results
Abstract; Special Functions and Their Properties; Fractional Calculus; C0−Semigroups; Hilbert Uniqueness Methods; References;
Regional Controllability
Abstract; Regional Controllability; Regional Gradient Controllability; Regional Boundary Controllability; Notes and Remarks; References;
Regional Observability
Abstract; Regional Observability; Regional Gradient Observability; Regional Boundary Observability; Notes and Remarks; References;
Regional Detection of Unknown Sources
Abstract; Preliminary Results; Riemann–Liouville-Type Time Fractional Diffusion Systems; Caputo-Type Time Fractional Diffusion Systems; Notes and Remarks; References;
Spreadability
Abstract; The Basic Knowledge of Spreadability; Riemann–Liouville-Type Time Fractional Diffusion Systems; Caputo-Type Time Fractional Diffusion Systems; Notes and Remarks; References;
Regional Stability and Regional Stabilizability
Abstract; Introduction; Regional Stability and Regional Stabilizability; Regional Boundary Stability and Regional Boundary Stabilizability; Notes and Remarks; References;
Conclusions and Future Work
Abstract; Conclusions; Future Work; References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) Pierluigi Amodio, Luigi Brugnano,Felice Iavernaro Xiaohan Zhu, Hong-lin Liao Jong-Shenq Guo, Masahiko Shimojo Yuxiang Huang, Fanhai Zeng, Ling Guo Natalia Kopteva Jia Li, Botong Li, Yahui Meng Haihong Wang, Can Li Jessica Mendiola-Fuentes, Daniel Melchor-Aguilar Yiheng Wei, Jinde Cao, Yuquan Chen, Yingdong Wei Ruijin Xu, Rushun Tian Bin-Bin He, Hua-Cheng Zhou Yue Yu, Jing Niu, Jian Zhang, Siyu Ning Shuangjian Guo, Jincheng Ren Juan J. Nieto Yuchen Wu, Hongwei Li Fractional Calculus and Applied Analysis (Volume 25, issue 3) Nikolai Leonenko, Igor Podlubny Francesco Mainardi, Richard B. Paris, Armando Consiglio Juan J. Nieto Carlos Lizama, Mahamadi Warma, Sebastián Zamorano Yong Zhou, Jia Wei He Xudong Hai, Yongguang Yu, Conghui Xu & Guojian Ren Sabrina D. Roscani, Domingo A. Tarzia & Lucas D. Venturato Subhash Chandra & Syed Abbas Miaomiao Cai, Fengquan Li & Pengyan Wang Dongpeng Zhou, Xia Zhou & Qihuai Liu Quanqing Li, Meiqi Liu & Houwang Li Yongjian Liu, Zhenhai Liu, Sisi Peng & Ching-Feng Wen Long Huang, Xiaofeng Wang Nguyen Minh Dien, Erkan Nane, Nguyen Dang Minh & Dang Duc Trong Marcello D’Abbicco, Giovanni Girardi Pavel B. Dubovski & Jeffrey A. Slepoi Alexey Karapetyants & Evelyn Morales Dariusz Idczak Kwok-Pun Ho ======================================================================== Paper Highlight Improved Maxwell model with structural dashpot for characterization of ultraslow creep in concrete Yingjie Liang, Peiyao Guan
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials
A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion
Error estimate of the fast L1 method for time-fractional subdiffusion equations
Fast difference scheme for a tempered fractional Burgers equation in porous media
A note on stability of fractional logistic maps
The proof of Lyapunov asymptotic stability theorems for Caputo fractional order systems
Caputo–Hadamard fractional Halanay inequality
A reproducing kernel method for nonlinear C-q-fractional IVPs
A novel adaptive Crank–Nicolson-type scheme for the time fractional Allen–Cahn model
Solution of a fractional logistic ordinary differential equation
Efficient approach to solve time fractional Kardar–Parisi–Zhang equation on unbounded domains
Monte Carlo method for fractional-order differentiation extended to higher orders
Wright functions of the second kind and Whittaker functions
Fractional Euler numbers and generalized proportional fractional logistic differential equation
Exterior controllability properties for a fractional Moore–Gibson–Thompson equation
Stability analysis of fractional differential equations with the short-term memory property
The similarity method and explicit solutions for the fractional space one-phase Stefan problems
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions
Stability and stabilization of short memory fractional differential equations with delayed impulses
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growthd
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations
Asymptotic profile for a two-terms time fractional diffusion problem2(R,CM)
Construction and analysis of series solutions for fractional quasi-Bessel equations
Riemann-Liouville derivatives of abstract functions and Sobolev spaces
Fractional integral operators on Orlicz slice Hardy spaces
Publication information: Construction and Building Materials: April 2022
https://doi.org/10.1016/j.conbuildmat.2022.127181 Abstract Ultraslow creep follows a logarithmic law, which exists in high strength self-compacting concrete. The traditional and fractal derivative rheology models can respectively capture exponential and power law behaviors, but are not capable of characterizing ultraslow creep. The Lomnitz model is feasible to describe ultraslow creep, but it is an empirical model without clear physical meaning. In this study, an improved Maxwell model is developed to describe ultraslow creep behavior based on structural dashpot, which is constructed by using the local structural derivative. The structural Maxwell model provides a physical interpretation of the Lomnitz model. The creep deformations of a high strength self-compacting concrete at the early ages of 12 h, 16 h, 20 h, and 24 h are used to test the structural Maxwell model. The results show that the structural Maxwell model can accurately fit the experimental data, and the values of the goodness of fit for the structural Maxwell model and the Lomnitz model are much closer to 1. The creep processes of the self-compacting concrete at the ages of 12 h, 16 h, 20 h, and 24 h belong to ultraslow dynamics, and can well be interpreted by using the structural Maxwell model. Keywords Ultraslow creep; Concrete; Structural dashpot; Logarithmic law; Rheology －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Yanli Chen, Wenwen Jiang, Xueqing Zhang, Yuanyuan Geng, and Guiqiang Bai Publication information: Physics of Fluids: Published: 14 July 2022 Abstract In order to describe the seepage and heat transfer problems of non-Newtonian fluids in porous media, a spatial fractional permeability model and a fractional thermal conductivity model for a fractal porous medium are developed based on the fractional non-Newtonian constitutive equation and the fractional generalized Fourier law. It is an innovative attempt to link fractional operators to the microstructure of pore porous media. The predictive capability of the proposed permeability and thermal conductivity model is verified by comparing with experimental data and the conventional capillary model, and the effects of fractal dimension, fractional parameters, and microstructural parameters on permeability and thermal conductivity are discussed. The results are as follows: (a) These two new models have higher accuracy than the conventional capillary model and reveal the relationship between the nonlocal memory and microstructural properties of complex fluids. (b) The permeability and thermal conductivity increase with increase in the fractional parameter α and radius ratio β and decrease with the increase in the fractal dimension (Dτ and Df) and microstructural parameters (length ratio 𝛾, branching angle θ, and branching level m) of the porous medium. (c) When the radius ratio is larger than a certain value, the growth rate of permeability (β > 0.46) and thermal conductivity (β > 0.3) increases significantly, while the branch angle has the smallest influence on permeability and thermal conductivity, which can be ignored. Topics Microfluidics; Thermal conductivity; Heat transfer; Fractional calculus; Porous media; Non Newtonian fluids; Constitutive relations; Fractals; Percolation theory; －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Patel, HR; Shah, VA Publication information: AUTOMATIKA : Published: Dec 2 2022 Abstract A new optimum interval type-2 fuzzy fractional-order controller for a class of nonlinear systems with incipient actuator and system component faults is introduced in this study. The faults of the actuator and system component (leak) are taken into account using an additive model. The Interval Type-2 Fuzzy Sets (IT2FS) is used to design an optimal fuzzy fractional order controller, and two different nature inspired metaheuristic algorithms, Follower Pollination Algorithm (FPA) and Genetic Algorithm (GA), are used to optimize the parameters of the fuzzy PID controller and Interval Type-2 Fuzzy Tilt-Integral-Derivative Controller (IT2FTID) for nonlinear system. The suggested control approach consists of two parts: an Interval Type-2 Fuzzy Logic Controller (IT2FLC) controller and a fractional order TID controller. Additionally, the two inputs of the IT2FLC are also calibrated using two fine tuning parameters beta(1) and beta(2), respectively. The stability of the proposed controller is presented with some conditions. In addition to unknown dynamics, some unknown process disturbances, such as rapid changes in the control variable, are taken into account to check the efficacy of the proposed control scheme. Two nonlinear conical two-tank level systems are used in the simulation as a case study. The performance of the suggested approach is also compared to that of a widely recognized Interval Type-2 Fuzzy Proportional-IntegralDerivative (IT2FPID) Controller. Finally, the proposed control scheme's fault-tolerant behaviour is demonstrated using fault-recovery time results and statistical Z-tests for both controllers, and the proposed IT2FTID controller's effectiveness is demonstrated when compared to IT2FPID and existing passive fault tolerant controllers in recent literature. Topics Actuator fault; Conical two-tank; Follower pollination algorithm; Genetic algorithm; Interval type-2 fuzzy system; System component fault; Tilt-integral-derivative controller; Frustum two-tank; Fuzzy fault-tolerant control ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Spatial fractional permeability and fractional thermal conductivity models of fractal porous medium
https://doi.org/10.1063/5.0100451
A metaheuristic approach for interval type-2 fuzzy fractional order fault-tolerant controller for a class of uncertain nonlinear system
https://doi.org/10.1080/00051144.2022.2061818
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