FDA Express Vol. 52, No. 1
FDA Express Vol. 52, No. 1, Jul. 31, 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
Theory, Methods and Applications in Mathematical Physics
Analysis of Fractional Stochastic Differential Equations and Their Applications
◆ Books ◆ Journals Applied Mathematical Modelling Fractional Calculus and Applied Analysis ◆ Paper Highlight
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Mohammed, PO; Srivastava, HM; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 30 Page:626-639 Published: Dec 31 2024
The complex dynamical behaviour of fractal-fractional forestry biomass system
By:Kumar, P; Kumar, S; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Zhu, TT; Li, DF; etc.
SCANDINAVIAN CARDIOVASCULAR JOURNAL Volume: 58 Published: Dec 31 2024
By:Ma, X; Ding, JL; etc.
INTERNATIONAL JOURNAL OF DIGITAL EARTH Volume: 17 Published: Dec 31 2024
By:Rahman, MU; Tabassum, S; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 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
Existence and stability of solution for time-delayed nonlinear fractional differential equations
By: Kebede, SG and Lakoud, AG
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
Computational analysis of corruption dynamics insight into fractional structures
By:Akgül, A; Farman, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:32 Published: Dec 31 2024
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; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024
By:Yazici, D and Topuz, S
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 452 Published:Dec 15 2024
By:Diethelm, K; Hashemishahraki, S; etc.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 540 Published: Dec 15 2024
Nonuniqueness for fractional parabolic equations with sublinear power-type nonlinearity
By:Benedikt, J; Bobkov, V; etc.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume:540 Pages:232-249 Published: Dec 15 2024
Pricing Asian options under the mixed fractional Brownian motion with jumps
By:Shokrollahi, F; Ahmadian, D and Ballestra, LV
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 226 Page:172-183 Published:Dec 2024
By:Wu, WQ; Ma, X; etc.
EXPERT SYSTEMS WITH APPLICATIONS Volume: 255 Published: Nov 2024
By:Roul, P
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 451 Published:Dec 1 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Theory, Methods and Applications in Mathematical Physics
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional calculus can contain different fractional operators to obtain many fractional derivatives, and the generalisation is always a key concept in mathematics. Therefore, it is of utmost importance to study the general fractional calculus that enlarges the natural limitation of various definitions for fractional derivatives.
This subject matter of this Special Issue aims at highlighting the general fractional calculus to solve problems that affect foundational mathematical research and engineering technology. Many phenomena from physics, chemistry, mechanics and electricity can be modeled using differential equations involving general fractional derivatives. In addition, the research in the field of general fractional calculus is interdisciplinary. Its development can also promote the vigorous development of several fields. Topics that are invited for submission include (but are not limited to):
- General fractional calculus theory;
- General fractional calculus method;
- General fractional calculus applications;
- Fractional viscoelasticity;
- Fractional dynamical systems;
- Fractional calculus in anomalous diffusion;
- Fractional operator theory and theoretical analysis;
- New definitions and properties of general fractional calculus;
- Memory and heritability of general fractional calculus.
Keywords:
- General fractional calculus theory;
- General fractional calculus method;
- General fractional calculus applications;
- Fractional viscoelasticity;
- Fractional dynamical systems;
- Fractional calculus in anomalous diffusion;
- Fractional operator theory and theoretical analysis;
- New definitions and properties of general fractional calculus;
- Memory and heritability of general fractional calculus.
Organizers:
Dr. Yi-Ying Feng
Dr. Jian-Gen Liu
Guest Editors
Important Dates:
Deadline for conference receipts: 16 August 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/O9751603NI.
Analysis of Fractional Stochastic Differential Equations and Their Applications
( A special issue of Fractal and Fractional )
Dear Colleagues: The purpose of this Special Issue is to communicate and collect results on fractional stochastic differential equations and their applications. We invite submissions of high-quality articles on the existence, uniqueness, stability, controllability and averaging principle of solutions. This Special Issue, “Analysis of Fractional Stochastic Differential Equations and Their Applications”, focuses on a wide range of topics in fractional stochastic analysis and its applications, including, but not limited to, the following:
- Finite-time stability;
- Ulam–Hyers stability;
- Controllability;
- Averaging principle;
- Existence or uniqueness;
- Delay differential equations;
- Impulsive differential equations;
- Fuzzy differential equations.
Keywords:
- Fractional differential equations
- Stochastic differential equations
- Delay differential equations
- Impulsive differential equations
- Fuzzy differential equations
- Stability analysis
- Averaging principle
- Controllability
- Averaging principle
- Existence or uniqueness
Organizers:
Prof. Dr. Zhiguo Luo
Dr. Danfeng Luo
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 August 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/63H75FV59B.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models
( Authors: Vishwesh Vyawahare , Paluri S. V. Nataraj )
Details:https://doi.org/10.1007/978-981-10-7587-2 Book Description: This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems.
Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchersworking in the areas of fractional-order modeling and control and nuclear reactor modeling.
Author Biography:
Vishwesh A. Vyawahare is a faculty in the Department of Electronics Engineering at Ramrao Adik Institute of Technology, Nerul, Navi Mumbai, India. He received his Master of Engineering degree in Control Systems from the Government College of Engineering, Pune, India in 2004, followed by a PhD in Systems and Control Engineering from the Indian Institute of Technology Bombay, Mumbai, India, in 2012. His doctoral work focused on the fractional-order modeling of nuclear reactors. His current research areas include modeling and control using fractional-order, complex-order and variable-order calculus.
Paluri S. V. Nataraj is a faculty in the Systems and Control Engineering Group at the Indian Institute of Technology Bombay (IIT Bombay), Mumbai, India. He received his PhD in Process Dynamics and Control from the Indian Institute of Technology Madras, Chennai, India in 1987. He subsequently worked at the CAD Centre at IIT Bombay for one and a half years before joiningthe Systems and Control Engineering Group at IIT Bombay in 1988, where he has been involved in teaching and research for the past 28 years. His current research interests are in the areas of fractional-order modeling and control, global optimization, parallel computing, reliable computing, and robust control.
Contents:
Front Matter
Fractional Calculus
Abstract; Keywords; Introduction; Special Functions in Fractional Calculus; Fractional-order Integrals and Derivatives: Definitions; Fractional-order Differential Equations; Fractional-order Systems; Chapter Summary;
Introduction to Nuclear Reactor Modeling
Abstract; Keywords; Introduction; Nuclear Reactor Theory; Slab Reactor; Mathematical Modeling of Nuclear Reactor; Anomalous Diffusion; Fractional Calculus Applications in Nuclear Reactor Theory; Chapter Summary;
Development and Analysis of Fractional-order Neutron Telegraph Equation
Abstract; Keywords; Introduction; Motivation; Derivation of FO Neutron Telegraph Equation Model; Analysis of Mean-Squared Displacement; Solution Using Separation of Variables Method; Chapter Summary;
Development and Analysis of Fractional-order Point Reactor Kinetics Model
Abstract; Introduction; Point Reactor Kinetics Model; Derivation of FPRK Model; Solution of FPRK Model with One Effective Delayed Group; Chapter Summary;
Further Developments Using Fractional-order Point Reactor Kinetics Model
Abstract; Keywords; Introduction; Fractional Inhour Equation; Inverse FPRK Model; Constant Delayed Neutron Production Rate Approximation; Prompt Jump Approximation; Zero Power Transfer Function of the Reactor; Chapter Summary;
Development and Analysis of Fractional-order Point Reactor Kinetics Models with Reactivity Feedback
Abstract; Introduction; Modeling of Reactivity Feedback in a Reactor; Fractional-order Nordheim–Fuchs Model; FPRK Model with Reactivity Feedback (Below Prompt Critical); Linearized FO Model with Reactivity Feedback; Chapter Summary;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Applied Mathematical Modelling (Selected) S. M. Cai, Y. M. Chen, Q. X. Liu Toungainbo Cédric Kamdem, Kol Guy Richard, Tibi Béda Ke Ren, Jin Zhang, Tao Ni, Qi-Zhi Zhu, Jianfu Shao Chengxue Li, Chuanjiang He Xue-Yang Zhang, Zhen-Liang Hu, Xian-Fang Li, Wen-Zhi Yang Shaojiu Bi, Minmin Li, Guangcheng Cai Mengchen Zhang, Fawang Liu, etc. Nailu Li, Eto Sultanan Razia, Haonan Ba Guangyao Chen, Yangze Liang, etc. Minmin Li, Shaojiu Bi, Guangcheng Cai Xiaoya Li, Huaishuang Shao Yu Wang, Chuanjiang He Xiangyu Sha, Aizhong Lu, Ning Zhang Xiaolong Zhang, Congjun Rao Fractional Calculus and Applied Analysis ( Volume 27, Issue 4 ) HongGuang Sun, Yuehua Jiang, Yong Zhang & Lijuan Jiang Neha Gupta, Arun Kumar, Nikolai Leonenko & Jayme Vaz Andrea Giusti, Ivano Colombaro, Roberto Garra, Roberto Garrappa & Andrea Mentrelli Veli Shakhmurov, Rishad Shahmurov Emilia Bazhlekova Manel Chetoui, Mohamed Aoun, Rachid Malti J. R. L. Webb, Kunquan Lan Lin Li, Huo Tao, Stepan Tersian Cristina I. MuresanIsabela Birs Sarah A. Deif, E. Capelas de Oliveira Jinyi Sun, Chunlan Liu, Minghua Yang Naqash Sarfraz, Muhammad Aslam, Qasim Ali Malik Grzegorz Krzyżanowski, Marcin Magdziarz Lihong Zhang, Qi Liu, Bashir Ahmad & Guotao Wang Marc Jornet Sebti Kerbal, Nasser-eddine Tatar, Nasser Al-Salti Lihong Zhang, Xiaofeng Nie Jingjun Guo, Yubing Wang, Weiyi Kang Anderson L. A. de Araujo, Edir J. F. Leite, Aldo H. S. Medeiros Xiao-Li Zhang, Yongguang Yu, Hu Wang & Jiahui Feng ======================================================================== Paper Highlight Time-fractional Caputo derivative versus other integrodifferential operators in generalized Fokker-Planck and generalized Langevin equations Qing Wei, Wei Wang, Hongwei Zhou, Ralf Metzler, and Aleksei Chechkin
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory
Fractional structure and texture aware model for image Retinex and low-light enhancement
Analysis of layered soil under general time-varying loadings by fractional-order viscoelastic model
A review of constitutive models for non-Newtonian fluids
On variable-order fractional linear viscoelasticity
Qualitative properties of fractional convolution elliptic and parabolic operators in Besov spaces
Continuous-time MISO fractional system identification using higher-order-statistics
Fractional differential equations of Bagley-Torvik and Langevin type
Fractional order control for unstable first order processes with time delays
Sum of series and new relations for Mittag-Leffler functions
Global existence for three-dimensional time-fractional Boussinesq-Coriolis equations
A tempered subdiffusive Black–Scholes model
Nonnegative solutions of a coupled k-Hessian system involving different fractional Laplacians
On the convergence of the Galerkin method for random fractional differential equations
Well-posedness and stability of a fractional heat-conductor with fading memory
Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem
Pricing European option under the generalized fractional jump-diffusion model
Principal curves to fractional m-Laplacian systems and related maximum and comparison principles
Stability analysis of discrete-time tempered fractional-order neural networks with time delays
Publication information: Physical Review E 108, 024125.
https://doi.org/10.1103/PhysRevE.108.024125 Abstract Fractional diffusion and Fokker-Planck equations are widely used tools to describe anomalous diffusion in a large variety of complex systems. The equivalent formulations in terms of Caputo or Riemann-Liouville fractional derivatives can be derived as continuum limits of continuous-time random walks and are associated with the Mittag-Leffler relaxation of Fourier modes, interpolating between a short-time stretched exponential and a long-time inverse power-law scaling. More recently, a number of other integrodifferential operators have been proposed, including the Caputo-Fabrizio and Atangana-Baleanu forms. Moreover, the conformable derivative has been introduced. We study here the dynamics of the associated generalized Fokker-Planck equations from the perspective of the moments, the time-averaged mean-squared displacements, and the autocovariance functions. We also study generalized Langevin equations based on these generalized operators. The differences between the Fokker-Planck and Langevin equations with different integrodifferential operators are discussed and compared with the dynamic behavior of established models of scaled Brownian motion and fractional Brownian motion. We demonstrate that the integrodifferential operators with exponential and Mittag-Leffler kernels are not suitable to be introduced to Fokker-Planck and Langevin equations for the physically relevant diffusion scenarios discussed in our paper. The conformable and Caputo Langevin equations are unveiled to share similar properties with scaled and fractional Brownian motion, respectively. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Yi Xu, Jean-Philippe Carlier, HongGuang Sun, Yun Jia, Jiazhong Qian, Yajing Liu Publication information: Chemosphere Volume 362 , August 2024, 142693. Abstract This present work consists of investigating the effects of particle size heterogeneity and flow rates on transport-reaction kinetics of CuSO4 and Na2EDTA2− in porous media, via the combination of a bimolecular reaction experiment and model simulations. In the early stages of transport, a peak is observed in the concentration breakthrough curve of the reactant CuSO4, related to the delayed mixing and reaction of the reactants. The numerical results show that an increase in flow rate promotes the mixing processes between the reactants, resulting in a larger peak concentration and a slighter tail of breakthrough curves, while an increase in medium heterogeneity leads to a more significant heavy tail. The apparent anomalous diffusion and heavy-tailing behavior can be effectively quantified by a novel truncated fractional derivative bimolecular reaction model. The truncated fractional-order model, taking into account the incomplete mixing, offers a satisfactory reproduction of the experimental data. Highlights The work investigates transport-reaction kinetics of CuSO4 and Na2EDTA2− in porous media. ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
The bimolecular reactive transport in heterogeneous porous media: Sub-diffusion in interpretation of laboratory experiment
https://doi.org/10.1016/j.chemosphere.2024.142693
The truncated fractional order bimolecular reaction model describes the sub-diffusion and incomplete mixing phenomenon.
Physical model parameters are discussed to study the factors affecting solute transport.
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