FDA Express Vol. 52, No. 3
FDA Express Vol. 52, No. 3, Sep. 30, 2024
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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
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Fractional Differential Operators with Classical and New Memory Kernels
◆ Books Fractional Dispersive Models and Applications ◆ Journals Applied Mathematics and Computation ◆ Paper Highlight
Solving a fractional chemotaxis system with logistic source using a meshless method
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Gokul, G and Udhayakumar, R
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Apr 2024
An explanation on four new definitions of fractional operators
By:Liu, JE and Geng, FZ
ACTA MATHEMATICA SCIENTIA Volume: 44 Pages:1271-1279 Published: Jul 2024
By:Abbas, S; Ahmad, M; etc.
ACS OMEGA Volume:9 Pages:10220-10232 Published: Feb 23 2024
By:Zhang, JL; Zhu, DB; etc.
INTERNATIONAL JOURNAL OF AUTOMOTIVE TECHNOLOGY Volume: 454 Published: Feb 2024
A fast compact finite difference scheme for the fourth-order diffusion-wave equation
By:Wang, W; Zhang, HX; etc.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS Volume: 101 Pages:170-193 Published: Feb 1 2024
By:El-Tantawy, SA; Matoog, RT; etc.
PHYSICS OF FLUIDS Volume:36 Published:Feb 2024
Invariant analysis and conservation laws for the space-time fractional KDV-Like equation
By:Liu, JG; Yang, XJ; etc.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION Volume:14 Pages:1-15 Published:Feb 2024
Power-series solutions of fractional-order compartmental models
By:Jornet, M
COMPUTATIONAL & APPLIED MATHEMATICS Volume:43 Published: Feb 2024
By: Baghani, H and Nieto, JJ
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Feb 2024
By:Wang, KJ and Shi, F
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY Volume:32 Published: Jan 2024
By:Xiao, W; Yang, XH and Zhou, ZY
COMMUNICATIONS IN ANALYSIS AND MECHANICS Volume: 16 Pages:53-70 Published: Feb 2024
By: Huong, PT and Anh, PT
STATISTICS & PROBABILITY LETTERS Volume:216 Published: Jan 2025
A numerical method for Ψ-fractional integro-differential equations by Bell polynomials
By:Rahimkhani, P
APPLIED NUMERICAL MATHEMATICS Volume:207 Pages:244-253 Published: Jan 2025
By:Zhou, J; Zhang, H; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 140 Published:Jan 2025
Controllability of time-varying fractional dynamical systems
By:Sivalingam, SM; Vellappandi, M; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published: Dec 31 2024
An efficient numerical scheme for fractional host-parasite hyperparasite interaction model
By:Kumar, P; Kumar, S; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:32 Published: Dec 31 2024
By:Ali, KK; Raslan, KR; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published:Dec 31 2024
A novel fractionalized investigation of tuberculosis disease
By:Meena, M; Purohit, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Fractional relaxation model with general memory effects and stability analysis
By:Zheng, FX and Gu, CY
CHINESE JOURNAL OF PHYSICS Volume: 32 Pages:1-8 Published:Dec 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
The 6th International Workshop on Numerical Analysis and Applications of Fractional Differential Equations
( November 8 - 11, 2024 in Fuzhou, Fujian, China. )
Dear Colleagues: The aims of this international workshop are to foster communication among researchers and practitioners who are interested in this field, introduce new researchers to the field, present original ideas, report state-of-the-art and in-progress research results, discuss future trends and challenges, establish computational fractional dynamic systems and other cross-disciplines.
Keywords:
- Fractional dynamic systems
- Numerical methods and numerical analysis
- Applications of fractional dynamic systems
- Finite difference method, finite element method, finite volume method, decomposition method, matrix method, meshless method
Organizers:
Professor Yongjing Liu
Associate Professor Ming Shen&Hongmei Zhang
Dr. Mengchen Zhang
Important Dates:
Deadline for conference receipts: 10 October 2024.
Fractional Differential Operators with Classical and New Memory Kernels
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional calculus has a rich history in the modelling of nonlinear problems in physics and engineering. Formally, the apparatus of fractional calculus includes a variety of fractional-order differintegral operators, such as the ones named after Riemann, Liouville, Weyl, Caputo, Riesz, Erdelyi, Kober, etc., which give rise to a variety of special functions. Beyond this, some new trends in modelling involve integral operators with nonsingular kernels, as well as operators defined on fractal sets. These were proposed to model dissipative phenomena that cannot be adequately modelled by classical operators. This Special Issue addresses contemporary modeling problems in science and engineering involving fractional differential operators with classical and new memory kernels. This is a call to authors involved in modeling with new and classical fractional differential operators to share their results in fractional modelling theory and applications. We will cover a broad range of applied topics and multidisciplinary applications of fractional-order differential operators with classical and new kernels in science and engineering.
Keywords:
- Fractional operators
- Memory kernels
- Biomechanical and medical models
- Analysis, special functions and kernels
- Numerical and computational methods
- Analytical solution methods: exact and approximate
- Modeling approaches with nonlocal (fractional) operators
- Probability and statistics based on non-local approaches
- Mathematical physics: heat, mass and momentum transfer
- Engineering applications and image processing
- Life science, biophysics and complexity
Organizers:
Dr. Dimiter Prodanov
Prof. Dr. Jordan Hristov
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 October 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/Z9G8786V5J.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Panayotis G. Kevrekidis, Jesús Cuevas-Maraver )
Details:https://doi.org/10.1007/978-3-031-54978-6 Book Description: This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing history, the novel setting of fractional PDEs opens up new possibilities for the simulation of multi-physics phenomena. The book examines a range of releavant examples that showcase the seamless transition from wave propagation to diffusion or from local to non-local dynamics in both continuum and discrete systems. These systems have been argued as being particularly relevant in contexts such as nonlinear optics, lattice nonlinear dynamical systems, and dispersive nonlinear wave phenomena, where the exploration of the potential fractionality has emerged as a highly active topic for current studies.
Author Biography:
Panayotis G. Kevrekidis, Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA
Jesús Cuevas-Maraver, Departamento de Fisica Aplicada I, University of Seville, Sevilla, Spain
Contents:
Front Matter
Fractional Wave Models and Their Experimental Applications
Fractional Models in Biology and Medicine
Fractional Dissipative PDEs
Symmetry Breaking in Fractional Nonlinear Schrödinger and Soliton Dynamics in Complex Ginzburg-Landau Models
Traveling Waves in Fractional Models
Numerical Methods for Fractional PDEs
Fractional Non-linear Quantum Analysis, Probability, Discretization, and Limits
Fractional Integrable Dispersive Equations
Fractional Discrete Linear and Nonlinear Models
Breathers in the Fractional Frenkel-Kontorova Model
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) Sachin Bhalekar, Prashant M. Gade, Divya D. Joshi Nick Laskin Fateme Rezaei Savadkoohi, Mohsen Rabbani, Tofigh Allahviranloo, Mohsen Rostamy Malkhalifeh Sadam Hussain, Muhammad Sarwar, etc. Xueqing He, Yuanbo Zhai, etc. Julia Calatayud, Marc Jornet, etc. Tong-Zhen Xu, Jin-Hao Liu Jiaquan Xie, Zhikuan Xie, etc. Mustapha Bouallala, EL-Hassan Essoufi, etc. Erhan Set, Ahmet Ocak Akdemi̇r, etc. Jinshan Liu, Huanhe Dong, Yong Zhang Hasan Abbasi Nozari, Seyed Jalil Sadati Rostami, Paolo Castaldi Amin Sharafian, Inam Ullah, Sushil Kumar Singh, etc. Michel W.S. Campos, Florindo A.C. Ayres Jr, etc. M.H. Heydari, M. Hosseininia, M. Razzaghi Applied Mathematics and Computation ( Selected ) Yu Sun, Cheng Hu, Juan Yu Zakaria Faiz, Shengda Zeng, Hicham Benaissa Jinsen Zhang, Xiaobing Nie Sayed A. Dahy, H.M. El-Hawary, etc. Renat T. Sibatov, Pavel E. L'vov, HongGuang Sun Wei-Wei Chen, Hong-Li Li Zhijun Tan Yi Yang, Jin Huang Yan Cao, Wei-Jie Zhou, etc. Fudong Ge, YangQuan Chen Shuai Li, Jinde Cao etc. Qiao Zhuang, Alfa Heryudono, etc. Marc Jornet Abayomi Dennis Epebinu, Tomasz Szostok ======================================================================== Paper Highlight Variable-order fractional diffusion: Physical interpretation and simulation within the multiple trapping model Renat T. Sibatov, Pavel E. L'vov, HongGuang Sun
Bidirectional coupling in fractional order maps of incommensurate orders
A new approach to constructing probability distributions of fractional counting processes
A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations
On the interpretation of Caputo fractional compartmental models
Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation
Wave behaviors for fractional generalized nonlinear Schrödinger equation via Riemann–Hilbert method
Unknown-input pseudo-state observer synthesis for fractional-order systems: A geometric framework
Fractional-order identification system based on Sundaresan’s technique
A novel fractional Moreau's sweeping process with applications
Complete synchronization of delayed discrete-time fractional-order competitive neural networks
Passivity of fractional reaction-diffusion systems
Delay-dependent parameters bifurcation in a fractional neural network via geometric methods
Generalized polynomial chaos expansions for the random fractional Bateman equations
Inequalities for fractional integral with the use of stochastic orderings
Publication information: Applied Mathematics and Computation Volume 482 , 1 December 2024, 128960
https://doi.org/10.1016/j.amc.2024.128960 Abstract The physical interpretation of a variable-order fractional diffusion equation within the framework of the multiple trapping model is presented. This interpretation enables the development of a numerical Monte Carlo algorithm to solve the associated subdiffusion equation. An important feature of the model is variation in energy density of localized states, when the detailed balance condition between localized and mobile particles is satisfied. The variable order anomalous diffusion equations under consideration can be applied to the description of transient subdiffusion in inhomogeneous materials, the order of which depends on the considered spatial and/or time scale. Examples of numerical solutions for different situations are demonstrated. Considering variable-order fractional drift, we calculate and analyze the transient current curves of the time-of-flight method for samples with varying density of localized states. Highlights The physical interpretation of a variable-order fractional diffusion equation is provided. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Antonio M. Vargas Publication information: Applied Mathematics Letters Volume 151, May 2024, 109004. Abstract We study the numerical solution of the fractional Keller–Segel system with logistic source. We derive the discretization of the fractional Laplacian and integer derivatives using a meshless method. A condition for convergence is given and several examples illustrating the dynamics of both fully parabolic and parabolic–elliptic systems on irregular meshes are provided. Topics Keller–Segel equations, Fractional differential equations, Chemotaxis, Meshless method ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Monte Carlo algorithm for solving variable-order subdiffusion equations is proposed.
Transient current in samples with varying density of localized states is analyzed.
Solving a fractional chemotaxis system with logistic source using a meshless method
https://doi.org/10.1016/j.aml.2024.109004
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