FDA Express Vol. 54, No. 3
FDA Express Vol. 54, No. 3, Mar. 31, 2025
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Institute of Soft Matter Mechanics, Hohai University
For contribution: xybxyb@hhu.edu.cn, fda@hhu.edu.cn
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Applications of Fractals and Fractional Calculus in Nuclear Reactors
Fractional Differential Operators with Classical and New Memory Kernels
◆ Books Fractional Grey System Model and Its Application ◆ Journals Applied Mathematics and Computation Mechanical Systems and Signal Processing ◆ Paper Highlight
Ultraslow diffusion processes under stochastic resetting
Stochastic heat equation driven by space-only fractional Lévy noise
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Wave propagation in an ocean site considering fractional viscoelastic constitution of porous seabed
Zheng, S; Li, WH; etc.
COMPUTERS AND GEOTECHNICS Volume:180 Published: APR 2025
Chung, NP and Trinh, TS
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B Published: MAR 2025 (Early Access)
Lotfy, K; Elshazly, IS; etc.
JOURNAL OF ELECTRONIC MATERIALS Published: Mar 2025 (Early Access)
Yadav, JU and Singh, TR
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Published: Mar 2025 (Early Access)
He, YH and Rui, WG
MATHEMATICAL METHODS IN THE APPLIED SCIENCES Published: Mar 2025 (Early Access)
Khan, ZH; Zhou, MJ;etc.
PHYSICS OF FLUIDS Volume: 37 Published: Mar 2025
Parmar, D; Murthy, SVSSNVGK; etc.
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW Volume: 112 Published: Mar 2025
Zhao, Y; Liu, DD;etc.
JOURNAL OF EARTHQUAKE ENGINEERING Published: Feb 2025 (Early Access)
Zhu, XG and Zhang, YP
ALEXANDRIA ENGINEERING JOURNAL Volume: 117 Published: Apr 2025
Mao, Z; Feng, LB; etc.
CHINESE JOURNAL OF PHYSICS Volume:93 Published: Feb 2025
Ma, WJ; Leong, EC; etc.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS Volume: 49 Published: Apr 2025
Zheng, S; Li, WH; etc.
APPLIED MATHEMATICAL MODELLING Volume: 140 Published: Apr 2025
Raza, A; Khan, U; etc.
MULTIDISCIPLINE MODELING IN MATERIALS AND STRUCTURES Published: Jan 2025 (Early Access)
Omama, M; Arafa, AA; etc.
PHYSICA SCRIPTA Volume: 100 Published: Jan 2025
Modified hat functions for constrained fractional optimal control problems with yr-Caputo derivative
Karami, S; Heydari, MH; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 143 Published: Apr 2025
Gokul, P; Kashkynbayev, A; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 143 Published: Apr 2025
Liu, ZY; Feng, BS; etc.
APPLIED INTELLIGENCE Volume: 55 Published: Apr 2025
Yusubov, SS and Mahmudov, EN
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 61 Published: Apr 2025
Optimal control efforts to reduce the transmission of HPV in a fractional-order mathematical model
El-Mesady, A; Al-shami, TM and Ali, HM
BOUNDARY VALUE PROBLEMS Volume: 2025 Published: Mar 2025
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Applications of Fractals and Fractional Calculus in Nuclear Reactors
( A special issue of Fractal and Fractional )
Dear Colleagues, Fractional calculus has been applied in several areas in the last 45 years, including physics, electrical engineering, robotics, signal processing, chemical, bioengineering, and mathematics, but mostly in chaos and control theory. In the field of nuclear science and technology, its history is much shorter; however, there has been a significant rise in its application since 2010. Fractional models of nuclear science and technology have been developed to overcome certain limitations related to the classical approaches, considering more general physical scenarios and non-local and memory effects in the modeling of the neutron population. Due to the advances and results achieved in nuclear science and technology in the last 15 years, many researchers have great interest in this field of research, which contributes to the more realistic description of nuclear power reactors. This Special Issue on "Applications of Fractals and Fractional Calculus in Nuclear Reactors" is dedicated to analyzing nuclear reactor dynamics with fractals and fractional modeling.
Keywords:
- Nuclear Reactor analysis Organizers: Prof. Dr. Gilberto Espinosa Paredes Important Dates: Deadline for conference receipts: 25 April 2025 . All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/Z5YRW2E3PS. Fractional Differential Operators with Classical and New Memory Kernels ( A special issue of Fractal and Fractional ) Keywords: Organizers: Important Dates: Deadline for manuscript submissions: 30 April 2025 . All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/Z9G8786V5J. =========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ ( Authors: Lifeng Wu , Yan Chen ) Details: https://doi.org/10.1007/978-981-96-3268-8 Book Description: This book covers up-to-date theoretical and applied advances in fractional order grey systems theory from across the world and vividly presents the reader with the overall picture of this new theory and its frontier research. Many of the concepts, models, and methods in the book are original by the author, including grey system model with the fractional order accumulation and its properties, the relationship between the sample size and the stability of grey forecasting model, applications of the fractional order grey models in sustainable development and energy consumption forecasting, grey forecasting model for the middle size data, etc. Author Biography: Lifeng Wu, School of Management Engineering and Business, Hebei University of Engineering, Handan, China Contents: Front Matter ======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Applied Mathematics and Computation (Selected) XingYu Li, KaiNing Wu, ZhanWen Yang Ahmed M. Elshenhab, Xing Tao Wang, Mohamed Hosny Dongsheng Yang, Hu Wang, etc. Jiayuan Yan, Bin Hu, etc. Yunhua Zeng, Zhijun Tan Wei Tang, Da Xu WenBiao Gao Xin WangXiaoping Wang, etc. Xuan Chen, Pei Dang, Weixiong Mai Tao Chen, Yaojia Zhang, etc. Xuelong Liu, Guoju Ye, etc. Yu Qiao, Xiangtuan Xiong, etc. Luigi Brugnano, Gianmarco Gurioli, Felice Iavernaro Yubing Jiang, Hu Chen, etc. Yujian Jiao, Tingting Li, Zhongqiang Zhang Mechanical Systems and Signal Processing (Selected) Yuanjin Zhang, Shujin Li, etc. Yijian Xu, Fan Kong, etc. Le Anh Tuan Zhi Li, Jiangong Yu, etc. Fei Xu, Jing Chen, etc. Yuan-Suo Zhang, Feng Hou ,etc. Zishuo Wang, Shuning Liang, etc. Yao Wang, Xinrui Lu, etc. Dongliang Hu, Jianfeng Zhang, Huatao Chen Ning Zhao, Xu Wang, Yu Wu Tingsen Zhang, Ming Ye, etc. Bolin Chen, Yisheng Zheng, etc. Boyuan Xu, Jin Zhou, Longxiang Xu Hu Liu, Biao Xiang D. J. Jerez, V. C. Fragkoulis, etc. ======================================================================== Paper Highlight Yingjie Liang, Qing Wei, Wei Wang, Andrey Cherstvy
- Fractal mathematical modeling
- Fractional mathematical modeling
- Fractional compartmental models
- Mittag-Leffler kernel
- Stability analysis
- Semi-analytical method
- Analytical and numerical methods
- Symmetry analysis and conservation laws
- Numerical and computational methods
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.
- 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
Prof. Dr. Jordan Hristov
This book is appropriate as a reference and/or professional book for courses of environmental management and grey system theory for graduate students or high-level undergraduate students, majoring in areas of science, technology, agriculture, environmental science, earth science, economics, and management. It is also utilized by researchers and practitioners in research institutions, business entities, and government agencies.
Yan Chen, School of Management Engineering and Business, Hebei University of Engineering, Handan, China
Fractional Order Accumulation Grey Prediction Model
Grey Exponential Smoothing Model with Fractional Order Accumulation
Fractional Order Derivative Grey Prediction Model
Grey Prediction Model Based on Fractional Order Buffering Operator
Adjacent Accumulation Discrete Grey Model
ADGM (1,1) Prediction of Renewable Energy Consumption in APEC Member Countries
GM (1,1) Fractional Order Accumulation Method
Fractional Order Grey Relational Analysis Model
Back Matter
Exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system
Explicit solutions and finite-time stability for fractional delay systems
On controllability of fractional-order impulsive and switching systems with time delay
Numerical simulation of time fractional Allen-Cahn equation based on Hermite neural solver
Lp-type Heisenberg-Pauli-Weyl uncertainty principles for fractional Fourier transform
Fuzzy discrete fractional granular calculus and its application to fractional cobweb models
A shooting-Newton procedure for solving fractional terminal value problems
A fully discrete GL-ADI scheme for 2D time-fractional reaction-subdiffusion equation
Jacobi spectral collocation method of space-fractional Navier-Stokes equations
Fuzzy fractional-order control of rubber tired gantry cranes
Two-DoFs active deflection control of MSW based on fractional-order integral SMC method
Publication information: Physics of Fluids, Volume 37, 6 March 2025.
https://doi.org/10.1063/5.0255601 Abstract We study stochastic processes of ultraslow diffusion in the presence of instantaneous Poissonian stochastic resetting (SR). We present the analytical results which are in close agreement with the findings from computer simulations for the main standard characteristics of this SR-process, such as the mean-squared displacement (MSD), the time-averaged MSD (TAMSD), the probability-density function (PDF), and the mean first-passage time (MFPT) of the tracers. In particular, we demonstrate the nonergodicity of the ultraslow SR-process featuring MSD ≠ TAMSD, the non-Gaussianity of the resulting long-time PDF in the realized nonequilibrium stationary state, as well as the existence of an optimal reset rate minimizing the MPFT to a target. Via comparing the current results for logarithmically slow processes under SR to the main characteristics of Poissonian-reset (i) power-law fractional Brownian motion, (ii) heterogeneous-diffusion processes, and (iii) exponentially fast geometric Brownian motion, we demonstrate the universality of many key statements regarding the MSD, TAMSD, PDF, and MFPT behaviors for these mathematically very different stochastic processes under the conditions of SR. Key Points Anomalous diffusion, Probability theory, Random walks, Stochastic processes, Geometric Brownian motion －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Dehua Wang, XiaoLi Ding, Lili Zhang, Xiaozhou Feng Publication information: Fractional Calculus and Applied Analysis, Volume 28, 25 March 2025. Abstract We introduce a novel class of stochastic partial differential equations (SPDEs) driven by space-only fractional Lévy noise. In contrast to the prevalent focus on space-time noise in the existing literature, our work explores the unique challenges and opportunities presented by purely spatial perturbations. We establish the existence and uniqueness of the solution to the stochastic heat equation by rigorously establishing the well-definedness and equivalence of mild and weak solution concepts, utilizing a blend of stochastic, deterministic, and fractional calculus techniques. Specifically, we derive explicit expressions for the covariance and variance functions, and characterize the solution’s law. These results constitute a first step towards a comprehensive understanding of SPDEs with space-only fractional Lévy noise. Keywords Stochastic partial differential equations, Fractional Lévy process, Space-only noise, Fundamental solution, Heat equation ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Stochastic heat equation driven by space-only fractional Lévy noise
https://doi.org/10.1007/s13540-025-00389-2
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