FDA Express Vol. 51, No. 1
FDA Express Vol. 51, No. 1, Apr. 30, 2024
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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
International Conference Fractional Calculus and Applications
Analysis of Heat Conduction and Anomalous Diffusion in Fractional Calculus
◆ Books Fractional Fourier Transform Techniques for Speech Enhancement ◆ Journals Computers & Mathematics with Applications Advances in Nonlinear Analysis ◆ Paper Highlight
Power-series solution of the L-fractional logistic equation
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
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
Comparative study of blood sugar-insulin model using fractional derivatives
By:Areshi, M; Goswami, P and Mishra, MN
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published: Dec 31 2024
Iterative solutions for nonlinear equations via fractional derivatives: adaptations and advances
By:Ali, N; Waseem, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Ali, KK; Elbary, FE and Maneea, M
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published: Dec 31 2024
Variational iteration method for n-dimensional time-fractional Navier-Stokes equation
By:Ma, YL; Maryam, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 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
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
Fractional Order Nonlocal Thermistor Boundary Value Problem on Time Scales
By: Alzabut, J; Khuddush, M; etc
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published: Sep 2024
By:Deepa, BR and Linda, MM
AUTOMATIKA Page:830-841 Volume:65 Published: Jul 2 2024
New discretization ψ-Caputo fractional derivative and applications
By:Pulido, MAP; Sousa, JVC and de Oliveira, EC
MATHEMATICS AND COMPUTERS IN SIMULATION Page:135-158 Volume: 221 Published: Jul 2024
By: Ali, A; Hayat, K; etc
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Jul 2024
By:Jiao, CY and Li, CP
APPLIED NUMERICAL MATHEMATICS Volume: 201 Page: 20-40 Published: Jul 20244
Solvability for 2D non-linear fractional integral equations by Petryshyn's fixed point theorem
By:Deep, A and Kazemi, M
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 444 Published: Jul 2024
By:Rao, XQ; Manafian, J; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Jul 2024
New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System
By:Wang, KL
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Jul 2024
By:Jiang, YB; Chen, H; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 471 Published:Jun 15 2024
By:Habibirad, A; Baghani, O; etc
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS Volume: 163 Page:1-11 Published: Jun 2024
By:Sathiyaraj, T; Balasubramaniam, P; etc
JOURNAL OF ENGINEERING MATHEMATICS Volume: 146 Published: Jun 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/#.
Analysis of Heat Conduction and Anomalous Diffusion in Fractional Calculus
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional calculus is a powerful tool for modeling physical phenomena in which classical integer-order calculus cannot capture the system's complexity. One such area where fractional calculus has been found to be particularly useful is the study of heat conduction and anomalous thermal diffusion. The classical Fourier law of heat conduction assumes that the heat flux is proportional to the temperature gradient, which leads to a linear heat conduction equation. However, this law can only sometimes accurately describe heat conduction in complex materials. The use of fractional differential operators in the heat conduction equation has been shown to be effective in modeling non-local and memory effects in heat conduction. This behavior has been observed in many physical systems, including biological systems and porous media. Thus, fractional calculus in thermal conduction and diffusion is an interesting research area that provides useful tools to investigate the anomalous thermodynamic process in several fields, such as physics, fluid dynamics, chemistry, and biology, among others. Its relevance lies in its ability to capture the complexity of these systems and provide a more accurate description of their behavior. We invite researchers to submit original research and review articles on the recent developments in fractional differential equations in anomalous diffusion and thermal conduction and their applications in science, technology, and engineering.
Keywords:
- Fractional calculus and fractal media
- Thermo-molecular physics
- Thermodynamics
- Heat and mass transfer
- Bio-heat transfer
- Fractional thermal conduction
- Anomalous thermal diffusion
- Nonequilibrium processes
- Nonequilibrium thermodynamics
- Kinetics theory
Organizers:
Prof. Dr. Aloisi Somer
Prof. Dr. Ervin K. Lenzi
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 May 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/Z8F81D7FM1.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Fractional Fourier Transform Techniques for Speech Enhancement
( Authors: Prajna Kunche , N. Manikanthababu )
Details:https://doi.org/10.1007/978-3-030-42746-7 Book Description: This book explains speech enhancement in the Fractional Fourier Transform (FRFT) domain and investigates the use of different FRFT algorithms in both single channel and multi-channel enhancement systems, which has proven to be an ideal time frequency analysis tool in many speech signal processing applications. The authors discuss the complexities involved in the highly non- stationary signal processing and the concepts of FRFT for speech enhancement applications. The book explains the fundamentals of FRFT as well as its implementation in speech enhancement. Theories of different FRFT methods are also discussed. The book lets readers understand the new fractional domains to prepare them to develop new algorithms. A comprehensive literature survey regarding the topic is also made available to the reader.
Author Biography:
Indira Gandhi Centre for Atomic Research, Kalpakkam, India
Prajna Kunche, N. Manikanthababu
Contents:
Front Matter
Introduction
Abstract; Speech Enhancement Algorithms; Time Domain Enhancement Methods; Transform Domain Speech Enhancement Algorithms; Organization of the Book; Conclusions; References;
Fractional Fourier Transform
Abstract; Keywords; Theory of Fractional Fourier Transform; Discrete Fractional Fourier Transform; Advantages of FrFT; Applications of FrFT; FrFT for Speech Enhancement Application; Conclusions; References;
Dual Channel Speech Enhancement Based on Fractional Fourier Transform
Abstract; Keywords; Basics of Adaptive Noise Cancellation; Adaptive Filters; Application of FrFT Based ANC to Speech Enhancement; Simulation and Analysis; Conclusions; References;
Fractional Cosine Transform Based Single Channel Speech Enhancement Techniques
Abstract; Keywords; Fundamentals of Discrete Fractional Cosine Transform; Wiener Filter with Harmonic Regeneration Noise Reduction (W-HRNR); Speech Enhancement Based on DFrCT and W-HRNR; Performance Evaluation; Conclusions; References;
Fractional Sine Transform Based Single Channel Speech Enhancement Technique
Abstract; Keywords; Concepts of DST and DFrST; Speech Enhancement Based on DFrST; Performance Evaluation; Results and Observations; Conclusions; References;
Summary and Perspectives
Abstract; Summary; Future Scope;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Computers & Mathematics with Applications (Selected) Yan Wang, Zhi Qian Juanjuan Gao, Jiebao Sun, Shengzhu Shi Zhoushun Zheng, Xinyue Ni, Jilong He Alon Jacobson, Xiaozhe Hu Sima Aghchi, Hossein Fazli, HongGunag Sun Muhammad Usman, Muhammad Hamid, Dianchen Lu, Zhengdi Zhang A. Oulmelk, L. Afraites, A. Hadri, M.A. Zaky, A.S. Hendy Shuo Wang, Xiangcheng Zheng, Ning Du Zhengya Yang, Xuejuan Chen, Yanping Chen, Jing Wang, Jiabin Zuo, Juliana Honda Lopes, Vicenţiu D. Rădulescu Nicolas L. Guidotti, Juan A. Acebrón, José Monteiro Wenping Fan, Hao Cheng Jian Hou, Yongguang Yu, Jingjia Wang, Hongpeng Ren, Xiangyun MengShi-Ping Tang, Yu-Mei Huang Zhen Miao, Ren-Hao Zhang, Wei-Wei Han, Yao-Lin Jiang Junfeng Cao, Ke Chen, Huan Han Trishna Kumari, Pradip Roul Advances in Nonlinear Analysis ( Selected ) Guangwei Du and Xinjing Wang Shenghao Feng, Jianhua Chen and Xianjiu Huang Vincenzo Ambrosio Anh Tuan Nguyen , Nguyen Huy Tuan and Chao Yang Giuseppe Floridia , Yikan Liu and Masahiro Yamamoto Mokhtar Kirane, Ahmad Z. Fino, Ahmed Alsaedi and Bashir Ahmad Jiali Lan , Xiaoming He and Yuxi Meng Leiga Zhao , Hongrui Cai and Yutong Chen Daniele Cassani and Lele Du Shiliang Zhao and Quan Zheng Soraya Fareh, Kamel Akrout, Abdeljabbar Ghanmi and Dušan D. Repovš Marvin Fritz , Ustim Khristenko and Barbara Wohlmuth José Carlos Bellido , Javier Cueto and Carlos Mora-Corral Davit Harutyunyan and Hayk Mikayelyan Quanqing Li and Wenming Zou Pengtao Li and Zhichun Zhai ======================================================================== Paper Highlight Modeling Hydrologically Mediated Hot Moments of Transient Anomalous Diffusion in Aquifers Using an Impulsive Fractional‐Derivative Equation Yong Zhang, Xiaoting Liu, Dawei Lei, Yin Maosheng, HongGuang Sun, Zhilin Guo, Hongbin Zhan
Fractional-order cross-diffusion system for multiplicative noise removal
Lagrange multiplier structure-preserving algorithm for time-fractional Allen-Cahn equation
Finite element method for an optimal control problem governed by a time fractional wave equation
A stochastic method for solving time-fractional differential equations
Analysis of a fractional-step parareal algorithm for the incompressible Navier-Stokes equations
Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator
Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth
On Cauchy problem for fractional parabolic-elliptic Keller-Segel model
Global existence for time-dependent damped wave equations with nonlinear memory
Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Uniform complex time heat Kernel estimates without Gaussian bounds
Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities
On the fractional Korn inequality in bounded domains: Counterexamples to the case ps<1
Publication information: Water Resources Research 60(3), February 2024.
https://doi.org/10.1029/2023WR036089 Abstract Hydrologically mediated hot moments (HM-HMs) of transient anomalous diffusion (TAD) denote abrupt shifts in hydraulic conditions that can profoundly influence the dynamics of anomalous diffusion for pollutants within heterogeneous aquifers. How to efficiently model these complex dynamics remains a significant challenge. To bridge this knowledge gap, we propose an innovative model termed “the impulsive, tempered fractional advection-dispersion equation” (IT-fADE) to simulate HM-HMs of TAD. The model is approximated using an L1-based finite difference solver with unconditional stability and an efficient convergence rate. Application results demonstrate that the IT-fADE model and its solver successfully capture TAD induced by hydrologically trigged hot phenomena (including hot moments and hot spots) across three distinct aquifers: (a) transient sub-diffusion arising from sudden shifts in hydraulic gradient within a regional-scale alluvial aquifer, (b) transient sub- or super-diffusion due to convergent or push-pull tracer experiments within a local-scale fractured aquifer, and (c) transient sub-diffusion likely attributed to multiple-conduit flow within an intermediate-scale karst aquifer. The impulsive terms and fractional differential operator integrated into the IT-fADE aptly capture the ephemeral nature and evolving memory of HM-HMs of TAD by incorporating multiple stress periods into the model. The sequential HM-HM model also characterizes breakthrough curves of pollutants as they encounter hydrologically mediated, parallel hot spots. Furthermore, we delve into discussions concerning model parameters, extensions, and comparisons, as well as impulse signals and the propagation of memory within the context of employing IT-fADE to capture hot phenomena of TAD in aquatic systems. Keywords Points An impulsive, tempered fractional model captured transient anomalous diffusion (TAD) due to hydrologically mediated hot moments (HM-HMs); －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Marc Jornet a, Juan J. Nieto Publication information: Applied Mathematics Letters Volume 154, August 2024, 109085. Abstract We consider the L-fractional derivative, which has been proposed in the literature to study fractional differentials in geometry and processes in mechanics. Our context is population growth and epidemiology, for which the use of L-derivatives is motivated by transitions. Using power series, we solve the logistic differential equation model under this fractional derivative. Several conclusions on the method, the derivative, and the singularity of the associated kernel are reached. Fractional Euler numbers, related to the logistic map and the famous Riemann zeta function, are also introduced. Keywords Logistic model; Fractional calculus; Non-integer differential equation; Leibniz and Caputo fractional derivative; Analytic solution; Euler numbers ========================================================================== The End of This Issue
The impulsive term and fractional differential operator in the new model describe the ephemeral and dynamic nature of HM-HMs of TAD;
The sequential HM-HM model fitted the pollutant breakthrough curves affected by parallel hydrologically mediated hot spots.
https://doi.org/10.1016/j.aml.2024.109085
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