FDA Express Vol. 50, No. 1
FDA Express Vol. 50, No. 1, Jan. 31, 2024
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 50_No 1_2024.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
12th Conference on Fractional Differentiation and its Applications
Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation
◆ Books Regional Analysis of Time-Fractional Diffusion Processes ◆ Journals Communications in Nonlinear Science and Numerical Simulation Physica A: Statistical Mechanics and its Applications ◆ Paper Highlight
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Hasan, AKM; Sarkar, DK; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published: Dec 31 2024
By:Alqahtani, AM and Prasad, JG
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Alabedalhadi, M; Al-Omari, S;
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Almutairi, Najat and Saber, Sayed
METHODSX Page:102510 Volume: 12 Published: Dec 2023
Entropy solutions for time-fractional porous medium type equations
By:Schmitz, K and Wittbold, P
DIFFERENTIAL AND INTEGRAL EQUATIONS Page:309-322 Volume: 37 Published: May-jun 2024
Asymptotic profile of L2-norm of solutions for wave equations with critical Log-damping
By:Charao, RC and Ikehata, R
DIFFERENTIAL AND INTEGRAL EQUATIONS Page:393-424 Volume: 37 Published:May-jun 2024
By:Shi, DY and Zhang, SH
APPLIED MATHEMATICS AND COMPUTATION Volume:467 Published:Apr 15 2024
On the Averaging Principle of Caputo Type Neutral Fractional Stochastic Differential Equations
By:Zou, J and Luo, DF
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024
Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions
By: Alsaedi, A; Ahmad, B and Al-Hutami, H
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Apr 2024
Controllability of Prabhakar Fractional Dynamical Systems
By:Ansari, MSH; Malik, M and Baleanu, D
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Apr 2024
Fractional Tumour-Immune Model with Drug Resistance
By:Koltun, APS; Trobia, J; etc.
BRAZILIAN JOURNAL OF PHYSICS Volume: 54 Published: Apr 2024
By: Li, QQ; Nie, JJ and Wang, WB
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024
By:Chen, PY and Feng, W
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024
By:Hammad, HA; Aydi, H and Kattan, DA
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Apr 2024
On a Fractal-Fractional-Based Modeling for Influenza and Its Analytical Results
By:Khan, H; Rajpar, AH; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024
By:Liu, J; Li, Z; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024
Porous Elastic Soils with Fluid Saturation and Boundary Dissipation of Fractional Derivative Type
By:Nonato, C; Benaissa, A; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published:Apr 2024
By:Admon, MR; Senu, N; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 218 Page:311-333 Published: Apr 2024
By:Ansari, A and Derakhshan, MH
MATHEMATICS AND COMPUTERS IN SIMULATION Page:383-402 Volume: 218 Published: Apr 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
12th Conference on Fractional Differentiation and its Applications
( July 9-12, 2024 in Bordeaux, France )
Dear Colleagues: The FDA (Fractional Differentiation and its Applications) steering community is composed of individuals from diverse backgrounds, and regions who work on Fractional Calculus. Members of the committee are selected for their expertise in relevant fields and their ability to contribute to the success of the ICFDA future conferences. Together, the steering committee, with the local organizing committee, are responsible for making decisions regarding the structure and content of the conference, developing the program, selecting keynote speakers and presenters, and overseeing the logistics of the event.
Keywords:
- Automatic Control
- Biology
- Electrical Engineering
- Electronics
- Electromagnetism
- Electrochemistry
- Epidemics
- Finance and Economics
- Fractional-Order Calculus and Artificial Intelligence
- Fractional-Order Dynamics and Control
- Fractional-Order Earth Science
- Fractional-Order Filters
- Fractional-Order Modeling and Control in Biomedical Engineering
- Fractional-Order Phase-Locked Loops
- Fractional-Order Variational Principles
- Fractional-Order Transforms and Their Applications
- Fractional-Order Wavelet Applications to the Composite Drug Signals
- History of Fractional-Order Calculus
- Fractional-Order Image Processing
- Mathematical methods
- Mechanics
- Modeling
- Physics
- Robotics
- Signal Processing
- System identification
- Stability
- Singularities Analysis and Integral Representations for Fractional Differential Systems
- Special Functions Related to Fractional Calculus
- Thermal Engineering
- Viscoelasticity
Organizers:
Pierre Melchior (France) Bordeaux INP, France
Eric Lalliard Malti (France) Stellantis, France
Stéphane Victor (France) Université de Bordeaux, France
Guest Editors
Important Dates:
Deadline for conference receipts: Jan. 31, 2024.
All details on this conference are now available at: https://icfda2024.sciencesconf.org.
Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation
( A special issue of Fractal and Fractional )
Dear Colleagues: In the last thirty years, Fractional Calculus has become an integral part all scientific fields. Although not all the formulations are suitable for being used in applications, there are several tools that constitute true generalizations of classic operators and are suitable for describing real phenomena. In fact, many systems can be classified as either shift-invariant or scale-invariant and have fractional characteristics either in time or in frequency/scale. This means that some of the known fractional operators, namely those described by ARMA-type equations, are very useful in many areas, such as: diffusion, viscoelasticity, fluid mechanics, bioengineering, dynamics of mechanical, electronic and biological systems, signal processing, control, economy, and others.
The focus of this Special Issue is to continue to advance research on topics such as modelling, design and estimation relating to fractional order systems. Manuscripts addressing novel theoretical issues, as well as those on more specific applications, are welcome.
Potential topics include but are not limited to the following:
- Fractional order systems modelling and identification
- Shift-invariant fractional ARMA linear systems, continuous-time, and discrete-time
- System analysis and design
- Scale invariant systems
- Fractional differential or difference equations
- Mathematical and numerical methods with emphasis on fractional order systems
- Fractional Gaussian noise, fractional Brownian motion, and other stochastic processes
- Applications
Keywords:
- Autoregressive-moving average (ARMA)
- Shift-invariant
- Scale-invariant
- FBm
- Liouville
- Liouville–Caputo
- Hadamard
- Riemann–Liouville
- Dzherbashian–Caputo
- Grunwald–Letnikov
- Two-sided Riesz–Feller derivatives
Organizers:
Prof. Dr. Gabriel Bengochea
Dr. Manuel Duarte Ortigueira
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 January 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/62W7D075N9.
=========================================================================== 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 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, School of Computer Science, China University of Geosciences, Wuhan, China
YangQuan Chen, Department of Mechanical Engineering (MESA-Lab), University of California, Merced, Merced, USA
Chunhai Kou, Department of Applied Mathematics, Donghua University, Shanghai, China
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; 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;
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 －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Communications in Nonlinear Science and Numerical Simulation (Selected) Nguyen Thi Thu Huong, Nguyen Nhu Thang, Tran Dinh Ke Erick R. Parra-Verde, Julio C. Gutiérrez-Vega N. Leonenko, A. Olenko, J. Vaz Asmae Tajani, Fatima-Zahrae El Alaoui, Delfim F.M. Torres Yuting Zhang, Xinlong Feng, Lingzhi Qian Yi Zhang, Lin-Jie Zhang, Xue Tian M.H. Heydari, Sh. Zhagharian, M. Razzaghi Jiajuan Qing, Shisheng Zhou, Jimei Wu, Mingyue Shao, Jiahui Tang Xavier Antoine, Jérémie Gaidamour, Emmanuel Lorin Adedayo O. Adelakun, Samuel T. Ogunjo Jin Wen, Yong-Ping Wang, Yu-Xin Wang, Yong-Qin Wang Zeinab Barary, AllahBakhsh Yazdani Cherati, Somayeh Nemati Marius-F. Danca Shuailei Zhang, Xinge Liu, Saeed Ullah, Meilan Tang, Hongfu Xu Jinxia Cen, J. Vanterler da C. Sousa, Wei Wu Physica A: Statistical Mechanics and its Applications ( Selected ) Fenglan Sun, Yunpeng Han, Xiaoshuai Wu, Wei Zhu, Jürgen Kurths Haris Calgan Yangling Wang, Jinde Cao, Chengdai Huang Yi-Ying Feng, Xiao-Jun Yang, Jian-Gen Liu, Zhan-Qing Chen Sivalingam S M, Pushpendra Kumar, V. Govindaraj Yingxue Cui, Lijuan Ning Shital Saha, Suchandan Kayal Vasily E. Tarasov Sadia Arshad, Imran Siddique, Fariha Nawaz, Aqila Shaheen, Hina Khurshid Cassien Habyarimana, Jane A. Aduda, Enrico Scalas, Jing Chen , Alan G. Hawkes, Federico Polito Angelamaria Cardone, Pasquale De Luca, Ardelio Galletti, Livia Marcellinon Tariq Mahmood, Fuad S. Al-Duais, Mei Sun Emmanuel Addai, Lingling Zhang, Joseph Ackora-Prah, Joseph Frank Gordon, Joshua Kiddy K. Asamoah, John Fiifi Essel R. Vilela Mendes, Tanya Araújo Mohammad Izadi, Şuayip Yüzbaşı, Waleed Adel M. Ghasemi Nezhadhaghighi ======================================================================== Paper Highlight Laun's rule for predicting the first normal stress coefficient in complex fluids: A comprehensive investigation using fractional calculus Mohua Das, Joshua David John Rathinaraj, Liviu Iulian Palade, Gareth H. McKinley FRS
Commutator of the Caputo fractional derivative and the shift operator and applications
Steady-state solutions of the Whittaker–Hill equation of fractional order
On fractional spherically restricted hyperbolic diffusion random field
Boundary controllability of Riemann–Liouville fractional semilinear equations
A second-order L2-1σ difference scheme for the nonlinear time–space fractional Schrödinger equation
Conservation laws for systems of non-standard Birkhoffians with fractional derivatives
Parametric resonance of an axially accelerating viscoelastic membrane with a fractional model
Normalized fractional gradient flow for nonlinear Schrödinger/Gross–Pitaevskii equations
Active control and electronic simulation of a novel fractional order chaotic jerk system
Fractional partial differential variational inequality
Mechanical investigations of local fractional magnetorheological elastomers model on Cantor sets
A novel numerical scheme for fractional differential equations using extreme learning machine
Transport of coupled particles in fractional feedback ratchet driven by Bounded noise
Extended fractional cumulative past and paired ϕ-entropy measures
Nonlocal statistical mechanics: General fractional Liouville equations and their solutions
Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission
A fractional Hawkes process II: Further characterization of the process
Solving Time-Fractional reaction–diffusion systems through a tensor-based parallel algorithm
Long-range connections and mixed diffusion in fractional networks
Accurate and efficient matrix techniques for solving the fractional Lotka–Volterra population model
Fractional stochastic Loewner evolution and scaling curves
Publication information: Physics of Fluids 36, 013111 (2024).
https://doi.org/10.1063/5.0179709 Abstract Laun's rule [H. M. Laun, “Prediction of elastic strains of polymer melts in shear and elongation,” J. Rheol. 30, 459–501 (1986).] is commonly used for evaluating the rate-dependent first normal stress coefficient from the frequency dependence of the complex modulus. We investigate the mathematical conditions underlying the validity of Laun's relationship by employing the time-strain–separable Wagner constitutive formulation to develop an integral expression for the first normal stress coefficient of a complex fluid in steady shear flow. We utilize the fractional Maxwell liquid model to describe the linear relaxation dynamics compactly and accurately and incorporate material nonlinearities using a generalized damping function of Soskey–Winter form. We evaluate this integral representation of the first normal stress coefficient numerically and compare the predictions with Laun's empirical expression. For materials with a broad relaxation spectrum and sufficiently strong strain softening, Laun's relationship enables measurements of linear viscoelastic data to predict the general functional form of the first normal stress coefficient but often with a noticeable quantitative offset. Its predictive power can be enhanced by augmenting the original expression with an adjustable power-law index that is based on the linear viscoelastic characteristics of the specific material being considered. We develop an analytical expression enabling the calculation of the optimal power-law index from the frequency dependence of the viscoelastic spectrum and the strain-softening characteristics of the material. To illustrate this new framework, we analyze published data for an entangled polymer melt and for a semiflexible polymer solution; in both cases our new approach shows significantly improved prediction of the experimentally measured first normal stress coefficient. Keywords Fractional calculus; Polymers; Non-Newtonian fluids; Viscoelastic flows; Laminar flows; Normal stress difference measurements; Rheological properties; Maxwell model; Complex fluids －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Yong Zhang, Graham E. Fogg, HongGuang Sun, Donald M. Reeves, Roseanna M. Neupauer, and Wei Wei Publication information: Hydrology and Earth System Sciences 28, issue 1 (2024). Abstract Backward probabilities, such as the backward travel time probability density function for pollutants in natural aquifers/rivers, have been used by hydrologists for decades in water quality applications. Calculating these backward probabilities, however, is challenging due to non-Fickian pollutant transport dynamics and velocity resolution variability at study sites. To address these issues, we built an adjoint model by deriving a backward-in-time fractional-derivative transport equation subordinated to regional flow, developed a Lagrangian solver, and applied the model/solver to trace pollutant transport in diverse flow systems. The adjoint model subordinates to a reversed regional flow field, transforms forward-in-time boundaries into either absorbing or reflective boundaries, and reverses the tempered stable density to define backward mechanical dispersion. The corresponding Lagrangian solver efficiently projects backward super-diffusive mechanical dispersion along streamlines. Field applications demonstrate the adjoint subordination model's success with respect to recovering release history, groundwater age, and pollutant source locations for various flow systems. These include systems with upscaled constant velocity, nonuniform divergent flow fields, or fine-resolution velocities in a nonstationary, regional-scale aquifer, where non-Fickian transport significantly affects pollutant dynamics and backward probabilities. Caution is needed when identifying the phase-sensitive (aqueous vs. absorbed) pollutant source in natural media. The study also explores possible extensions of the adjoint subordination model for quantifying backward probabilities of pollutants in more complex media, such as discrete fracture networks. ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Adjoint subordination to calculate backward travel time probability of pollutants in water with various velocity resolutions calculus
https://doi.org/10.5194/hess-28-179-2024
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