FDA Express Vol. 51, No. 3
FDA Express Vol. 51, No. 3, Jun. 30, 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 51_No 3_2024.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
International Conference Fractional Calculus and Applications
Recent Advances in Fractional-Order Neural Networks: Theory and Application
◆ Books ◆ Journals Communications in Nonlinear Science and Numerical Simulation Journal of Scientific Computing ◆ Paper Highlight
Aging and confinement in subordinated fractional Brownian motion
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Munir, A; Vivas-Cortez, M; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 30 Published: Dec 31 2024
The use of Hermite wavelet collocation method for fractional cancer dynamical system
By:Agrawal, K; Kumar, S; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Zhang, W; Zhang, Y and Ni, JB
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Computational analysis of rabies and its solution by applying fractional operator
By:Alazman, I; Mishra, MN; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Variational iteration method for n-dimensional time-fractional Navier-Stokes equation
By:Sharma, N; Alhawael, G; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Wei, TF; Han, WH; etc.
ENERGY SOURCES PART A-RECOVERY UTILIZATION AND ENVIRONMENTAL EFFECTS Volume:46 Pages:4661-4687 Published:Dec 31 2024
Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis
By:Ul Haq, I; Ali, N; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:32 Published:Dec 31 2024
By:Rahman, MU; Karaca, Y; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:32 Published: Dec 31 2024
By: Fahad, A; Nosheen, A; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 30 Pages:1-15 Published: Dec 31 2024
Significance of Cu-Fe3O4 on fractional Maxwell fluid flow over a cone with Newtonian heating
By:Hanif, H; Khan, A; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume:18 Published: Dec 31 2024
By:Qiao, Y and Xiong, XT
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 451 Published: Dec 1 2024
Stiff-cut leap-frog scheme for fractional Laplacian diffusion
By: Sun, T and Sun, HW
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:451 Published: Dec 1 2024
Numerical analysis of fractional order Black-Scholes option pricing model with band equation method
By:Chen, JH; Li, XF and Shao, YZ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 451 Published: Dec 1 2024
Annealed fractional Lévy-Ito
By:Paquet, E; Soleymani, F; etc.
COMPUTATIONAL AND STRUCTURAL BIOTECHNOLOGY JOURNAL Volume: 23 Pages:1641-1653 Published:Dec 2024
Potential characterizations of fractional Polar sets
By:Li, GL; Shi, SG and Zhang, L
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 539 Published: Nov 15 2024
By:Huang, X; Lei, SL; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:225 Pages:232-249 Published: Nov 2024
By:Wang, GT; Yuan, HL and Baleanu, D
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published:Nov 2024
Fourier-Gegenbauer pseudospectral method for solving periodic fractional optimal control problems
By:Elgindy, KT
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 225 Pages:148-164 Published: Nov 2024
By:Liu, XL; Ye, GJ; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 450 Published:Nov 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
International Conference Fractional Calculus and Applications
( December 26-30, 2024 in Sousse, Tunisie )
Dear Colleagues: Discover the forefront of research and innovation in the field of Fractional Calculus! The International Conference on Fractional Calculus and Applications is a premier gathering of scholars, researchers, and professionals from around the world, dedicated to advancing knowledge and fostering collaboration in this rapidly evolving discipline.
Keywords:
- Fractional Differential Equations
- Fractional Partial Differential Equations
- Theory of existence and uniqueness of solutions
- Stability analysis
- Boundary value problems
- Inverse problems
- Fractional Control Systems
- Applications in Physics, Engineering, Biology, and more.
Organizers:
Prof. Abdellatif Ben Makhlouf, Tunisia
Prof. Omar Naifar, Tunisia
Guest Editors
Important Dates:
Deadline for conference receipts: July 31, 2024.
All details on this conference are now available at: https://icofca.com/#.
Recent Advances in Fractional-Order Neural Networks: Theory and Application
( A special issue of Fractal and Fractional )
Dear Colleagues: The field of fractional-order neural networks refers to research that incorporates the concepts of fractional calculus into the related theory and application of neural networks. It is introduced to accurately describe the physical process and system state with heredity and memorability. With the in-depth study of fractional-order neural network models and dynamics analysis (e.g., stability, synchronization, bifurcation), more control methods and control techniques are applied to these systems, which will enrich the theoretical system of fractional-order neural networks. Additionally, fractional-order neural networks have infinite memory properties, which can further improve the design, characterization, and control capabilities of network models for many practical problems. These concepts have great application prospects and research value in biological nervous systems, circuit design and simulation, artificial intelligence, and other fields.
The focus of this Special Issue is to continue to advance research on topics relating to the theory, control, design, and application of fractional-order neural networks. Topics that are invited for submission include (but are not limited to):
- Fractional-order neural network model;
- Dynamic analysis and control of fractional-order neural networks;
- Circuit design and simulation of fractional-order neural networks;
- Applications of fractional-order neural networks for biology and biomedicine;
- Applications of fractional-order circuit models for artificial intelligence.
Keywords:
- Fractional calculus
- Dynamics analysis
- Biological nervous system
- Circuit design and simulation
- Artificial intelligence
Organizers:
Prof. Dr. Zhouchao Wei
Dr. Lulu Lu
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 July 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/RAFONNTA.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Vasily E. Tarasov )
Details:https://doi.org/10.1007/978-3-642-14003-7 Book Description: "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.
Author Biography:
Vasily E. Tarasov Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia
Contents:
Front Matter
Fractional Continuous Models of Fractal Distributions
Front Matter; Fractional Integration and Fractals; Hydrodynamics of Fractal Media; Fractal Rigid Body Dynamics; Electrodynamics of Fractal Distributions of Charges and Fields; Ginzburg-Landau Equation for Fractal Media; Fokker-Planck Equation for Fractal Distributions of Probability; Statistical Mechanics of Fractal Phase Space Distributions;
Fractional Dynamics and Long-Range Interactions
Front Matter; Fractional Dynamics of Media with Long-Range Interaction; Fractional Ginzburg-Landau Equation; Psi-Series Approach to Fractional Equations;
Fractional Spatial Dynamics
Front Matter; Fractional Vector Calculus; Fractional Exterior Calculus and Fractional Differential Forms; Fractional Dynamical Systems; Fractional Calculus of Variations in Dynamics; Fractional Statistical Mechanics;
Fractional Temporal Dynamics
Front Matter; Fractional Temporal Electrodynamics; Fractional Nonholonomic Dynamics; Fractional Dynamics and Discrete Maps with Memory;
Fractional Quantum Dynamics
Front Matter; Fractional Dynamics of Hamiltonian Quantum Systems; Fractional Dynamics of Open Quantum Systems; Quantum Analogs of Fractional Derivatives;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Communications in Nonlinear Science and Numerical Simulation (Selected) Muhammad Sohaib, Khaled M. Furati, Abdullah Shah Eduardo Scafi, Marcus Werner Beims Jianwei Hao, Mengmeng Li Mattia Coccolo, Jesús M. Seoane, Miguel A. F. Sanjuán O. O. Zhokh, P. E. Strizhak Junjie Ren, Hao Lei Chendrayan Dineshkumar, Jae Hoon Jeong, Young Hoon Joo Zhongkui Sun, Qifan Xue, Nannan Zhao Amina Ali, Norazak Senu, Nadihah Wahi, Naif Almakayeel, Ali Ahmadian M. H. Heydari, D. Baleanu Lei Wang, Da-Yan Liu, Liang Huang, Olivier Gibaru Abdollah Elahi, Safar Irandoust-pakchin, Asghar Rahimi, Somaiyeh Abdi-mazraeh P. Prakash, K. S. Priyendhu, M. Lakshmanan L.H. Dongmo Nguebem, S.C. Mba Feulefack, A.M. Ngounou, B.R. Nana Nbendjo Marcin Sowa Journal of Scientific Computing ( Selected ) Zheng Ma & Martin Stynes Xue-Lei Lin & Michael K. Ng HuiChol Choe, JongHyang Ri, SunAe Pak, YongDo Ri & SongGuk Jong Zhixin Liu, Minghui Song & Hui Liang Kassem Mustapha, William McLean & Josef Dick Xuehua Yang & Zhimin Zhang Hengfei Ding, Haidong Qu & Qian Yi Samir Karaa, Kassem Mustapha & Naveed Ahmed Xiangyi Peng, Wenlin Qiu, Ahmed S. Hendy & Mahmoud A. Zaky Yuhua Luo & Ting Wei Hong-lin Liao, Xiaohan Zhu & Hong Sun Hongyi Zhu & Chuanju Xu Hongyi Zhu & Chuanju Xu Luigi Brugnano, Kevin Burrage, Pamela Burrage & Felice Iavernaro Zi-Yun Zheng & Yuan-Ming Wang Yixuan Wu & Yanzhi Zhang Boyang Yu, Yonghai Li & Jiangguo Liu Aniruddha Seal, Srinivasan Natesan & Suayip Toprakseven Ang Ge, Jinye Shen & Seakweng Vong ======================================================================== Paper Highlight Aging and confinement in subordinated fractional Brownian motion Yingjie Liang, Wei Wang, Ralf Metzler
Space fractional Allen–Cahn equation and its applications in phase separation: A numerical study
Fractional diamagnetic Kepler problem and elastic collisions
A new class of fractional Navier–Stokes system coupled with multivalued boundary conditions
Fractional damping induces resonant behavior in the Duffing oscillator
Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects
Chimera states in fractional-order coupled Rayleigh oscillators
A new approach of B-spline wavelets to solve fractional differential equations
A τ -Preconditioner for Space Fractional Diffusion Equation with Non-separable Variable Coefficients
An Isoparametric Finite Element Method for Time-fractional Parabolic Equation on 2D Curved Domain
An α -Robust and Second-Order Accurate Scheme for a Subdiffusion Equation
A Mixed FEM for a Time-Fractional Fokker–Planck Model
A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domainsn
A Highly Efficient Numerical Method for the Time-Fractional Diffusion Equation on Unbounded Domains
A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection–Diffusion Problems
Space–Time Methods Based on Isogeometric Analysis for Time-fractional Schrödinger Equation
Publication information: PHYSICAL REVIEW E 109(6) June 2024.
https://doi.org/10.1103/PhysRevE.109.064144 Abstract We study the effects of aging properties of subordinated fractional Brownian motion (FBM) with drift and in harmonic confinement, when the measurement of the stochastic process starts a time ta>0 after its original initiation at t=0. Specifically, we consider the aged versions of the ensemble mean-squared displacement (MSD) and the time-averaged MSD (TAMSD), along with the aging factor. Our results are favorably compared with simulations results. The aging subordinated FBM exhibits a disparity between MSD and TAMSD and is thus weakly nonergodic, while strong aging is shown to effect a convergence of the MSD and TAMSD. The information on the aging factor with respect to the lag time exhibits an identical form to the aging behavior of subdiffusive continuous-time random walks (CTRW). The statistical properties of the MSD and TAMSD for the confined subordinated FBM are also derived. At long times, the MSD in the harmonic potential has a stationary value, that depends on the Hurst index of the parental (nonequilibrium) FBM. The TAMSD of confined subordinated FBM does not relax to a stationary value but increases sublinearly with lag time, analogously to confined CTRW. Specifically, short aging times ta in confined subordinated FBM do not affect the aged MSD, while for long aging times the aged MSD has a power-law increase and is identical to the aged TAMSD. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ G. Gokulvijay, S. Sabarinathan Publication information: Physics of Fluids 36, 057126 (2024). Abstract This study focuses on integrodifferential equations involving fractal–fractional differential operators characterized by exponential decay, power law, and generalized Mittag–Leffler kernels. Utilizing linear growth and Lipschitz conditions, we investigate the existence and uniqueness of solutions, as well as the Hyers–Ulam stability of the proposed equations. For every instance, a numerical method is utilized to derive a numerical solution for the specified equation. The paper includes illustrations of fractal–fractional integrodifferential equations, with their precise solutions determined and subsequently compared with the numerical outcomes. This methodology can be applied to demonstrate convergence, and graphical presentations are included in relevant examples to illustrate our proposed approach. Topics Exponential generating functions, Fractional calculus, Functional equations, Integro-differential equation ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Investigating integrodifferential equations associated with fractal–fractional differential operators
https://doi.org/10.1063/5.0206277
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