FDA Express Vol. 48, No. 1,
FDA Express Vol. 48, No. 1, Jul. 31, 2023
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 48_No 1_2023.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
ICFCAM 2024: 18. International Conference on Fractional Calculus and Applied Mathematics
Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics
◆ Books Advanced Methods in the Fractional Calculus of Variations ◆ Journals Applied Mathematics and Computation Fractional Calculus and Applied Analysis ◆ Paper Highlight
Fractal Bloch model to characterize stretched magnetization relaxation in magnetic resonance imaging
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Aibinu, MO and Momoniat, E
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Exploring the role of fractal-fractional operators in mathematical modelling of corruption
By:Awadalla, M; Rahman, MU; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Yang, KQ
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
By:Wei, XX; Liu, Y; etc.
INTERNATIONAL JOURNAL OF DIGITAL EARTH Page: 2212-2232 Volume: 16 Published: Dec 31 2023
A generalized study of the distribution of buffer over calcium on a fractional dimension
By:Bhatter, S; Jangid, K; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 31 Published: Dec 31 2023
Fractional Order Internal Model PID Control for Pulp Batch Cooking Process
By:Shan, WJ; Wang, YF and Tang, W
JOURNAL OF CHEMICAL ENGINEERING OF JAPAN Volume: 56 Published: Dec 31 2023
By:Xu, ZH; Li, YF; etc.
GEOCARTO INTERNATIONAL Volume:38 Published:Dec 31 2023
By:Hu, LL and Yu, H
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume:37 Published: Dec 31 2023
Normalized Ground States and Multiple Solutions for Nonautonomous Fractional Schrodinger Equations
By: Yang, C; Yu, SB and Tang, CL
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 22 Published: Dec 2023
By:Xu, J; Lian, QQ and Wu, JL
APPLIED MATHEMATICS AND OPTIMIZATION Volume: 88 Published: Oct 2023
Evolution Equations with Sectorial Operator on Fractional Power Scales
By:Czaja, R and Dlotko, T
APPLIED MATHEMATICS AND OPTIMIZATION Volume: 88 Published: Oct 2023
By: Afiatdoust, F; Heydari, MH and Hosseini, MM
COMPUTATIONAL & APPLIED MATHEMATICS Volume:42 Published: Sep 2023
A Computational Approach to Exponential-Type Variable-Order Fractional Differential Equations
By:Garrappa, R and Giusti, A
JOURNAL OF SCIENTIFIC COMPUTING Volume:96 Published: Sep 2023
By:Leitao, R
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY Volume: 54 Published: Sep 2023
Properties of the minimizers for a constrained minimization problem arising in fractional NLS system
By:Liu, LT; Pan, Y and Chen, HB
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Volume:25 Published: Sep 2023
Cohyponormality and Complex Symmetry of Linear Fractional Composition Operators on a Half-Plane
By:Favaro, VV; Hai, PV and Severiano, OR
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Volume:54 Published: Sep 2023
By:Zhou, H; Hu, YZ and Liu, YH
BIT NUMERICAL MATHEMATICS Volume: 63 Page:10123-10133 Published:Sep 2023
Towards a Better Understanding of Fractional Brownian Motion and Its Application to Finance
By:Zhuang, YY and Song, X
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY Volume: 46 Published: Sep 2023
Investigation of fractional order inclusion problem with Mittag-Leffler type derivative
By:Lachouri, A; Abdo, MS; etc.
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS Volume: 14 Published: Sep 2023
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
ICFCAM 2024: 18. International Conference on Fractional Calculus and Applied Mathematics
( August 12-13, 2024 in Venice, Italy )
Dear Colleagues: International Conference on Fractional Calculus and Applied Mathematics aims to bring together leading academic scientists, researchers and research scholars to exchange and share their experiences and research results on all aspects of Fractional Calculus and Applied Mathematics. It also provides a premier interdisciplinary platform for researchers, practitioners and educators to present and discuss the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of Fractional Calculus and Applied Mathematics..
Keywords:
- Applied mathematics
- Mathematical methods in continuum mechanics
- Fractional calculus and its applications
- Optimization and control in engineering
- Mathematical modelling with engineering applications
- Non-Linear dynamical systems and chaos
- Scientific computing and algorithms
Organizers:
Orchidea Maria Lecian Sapienza Università di Roma, Italy
Mirko Mazza University of Calabria, Italy
Tanvi Ranjan Harvard University, United States
Guest Editors
Important Dates:
Deadline for conference receipts: August 01, 2023
All details on this conference are now available at: https://waset.org/fractional-calculus-and-applied-mathematics-conference-in-august-2024-in-venice.
Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics
( A special issue of Fractal and Fractional )
Dear Colleagues: Nonlinear differential equations are generally used to create mathematical models of real-life problems and to obtain their solutions. Therefore, many researchers have achieved important results by developing new methods in terms of finding analytical, numerical and exact solutions to nonlinear differential equations. In these studies, the nonlinear differential equations generally discussed include integer and fractional derivatives.
The aim of this Special Issue is to construct and apply analytical, numerical and exact methods for approaching nonlinear differential equations which have applications in the field of physics. In addition, this Special Issue will focus particularly on examining the physical behavior of the obtained results and analyzing them in detail.
Researchers are encouraged to introduce and discuss their new original papers on the solutions to nonlinear differential equations in engineering and applied science. Potential research topics include, but are not limited to, the following themes:
- Recent advances in fractional calculus
- Fractional calculus models in engineering and applied science
- Fractional differential and difference equations
- Functional fractional differential equations
- Computational methods for integer or fractional order PDEs in applied science
- Exact solutions to nonlinear physical problems
- Numerical methods for initial and boundary value problems
- Multiplicative differential equations and their applications
- Fuzzy differential equations and their applications
- Stochastic differential equations and their applications
Keywords:
- Fractional calculus
- Special functions in fractional calculus
- Mathematical modelling in physics
- Nonlinear models in mathematical physics
- Dynamics of physical systems
- Numerical solutions
- Exact solutions
- Soliton theory
- Computational physics
- Multiplicative calculus
- Fuzzy differential calculus
- Stochastic differential equations
Organizers:
Dr. Yusuf Gürefe
Prof. Dr. Nguyen Huy Tuan
Guest Editors
Important Dates:
Deadline for manuscript submissions: 15 August 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/S7GWH502V8.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Agnieszka B. Malinowska , Tatiana Odzijewicz , Delfim F.M. Torres )
Details:https://doi.org/10.1007/978-3-319-14756-7 Book Description: This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm–Liouville problems.
Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.
Author Biography:
Agnieszka B. Malinowska Department of Mathematics, Bialystok University of Technology, Białystok, Poland
Tatiana Odzijewicz Department of Mathematics, University of Aveiro, Warsaw, Portugal
Delfim F.M. Torres Department of Mathematics, University of Aveiro, Aveiro, Portugal
Contents:
Front Matter
Introduction
Abstract; References;
Fractional Calculus
Abstract; One-Dimensional Fractional Calculus; Multidimensional Fractional Calculus; References;
Fractional Calculus of Variations
Abstract; Fractional Euler–Lagrange Equations; Fractional Embedding of Euler–Lagrange Equations; References;
Standard Methods in Fractional Variational Calculus
Abstract; Properties of Generalized Fractional Integrals; Fundamental Problem; Free Initial Boundary; Isoperimetric Problem; Noether’s Theorem; Variational Calculus in Terms of a Generalized Integral; Generalized Variational Calculus of Several Variables; Conclusion; References;
Direct Methods in Fractional Calculus of Variations
Abstract; Existence of a Minimizer for a Generalized Functional; Necessary Optimality Condition for a Minimizer; Some Improvements; Conclusion; References;
Application to the Sturm–Liouville Problem
Abstract; Useful Lemmas; The Fractional Sturm–Liouville Problem; References;
Conclusion
Abstract; References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Applied Mathematics and Computation (Selected) Marc Jornet Conghui Xu, Yongguang Yu, Guojian Ren, Yuqin Sun, Xinhui Si Xiaohui Han, Jianping Dong Dušan Zorica, Stevan M. Cvetićanin Xue Xia, Jing Bai, Xiaohe Li, Guoguang Wen D. Vignesh, Shaobo He, Santo Banerjee Hu–Shuang Hou, Hua Zhang Yuxin Han, Xin Huang, Wei Gu, Bolong Zheng Shasha Xiao, Zhanshan Wang, Lei Ma Yuting Sun, Cheng Hu, Juan Yu, Tingting Shi Xinfei Liu, Xiaoyuan Yang Jin-Man He, Li-Jun Pei Mingfang Zhao, Hong-Li Li, Long Zhang, Cheng Hu, Haijun Jiang Komeil Nosrati, Juri Belikov, Aleksei Tepljakov, Eduard Petlenkov Ying Di, Jin-Xi Zhang, Xuefeng Zhang Fractional Calculus and Applied Analysis ( Volume 26, issue 4 ) Jacob Butt, Nicos Georgiou & Enrico Scalas Yuri Luchko & Masahiro Yamamoto Jan Čermák, Tomáš Kisela & Luděk Nechvátal Shibendu Mahata, Norbert Herencsar & Guido Maione Felipe Angeles & Alberto Saldaña Mohamed Hajjem, Stéphane Victor, Pierre Melchior, Patrick Lanusse & Lara Thomas Frederick Maes & Karel Van Bockstal Ravshan Ashurov & Oqila Mukhiddinova Maja Jolić & Sanja Konjik M. Mohan Raja & V. Vijayakumar Gongsheng Li, Zhen Wang, Xianzheng Jia & Yi Zhang Tong Zhang & Jie-Xiang Zhu Baoli Yin, Yang Liu, Hong Li & Zhimin Zhang Manel Chetoui & Mohamed Aoun Inzamamul Haque, Javid Ali & M. Mursaleen ======================================================================== Paper Highlight Fractal Bloch model to characterize stretched magnetization relaxation in magnetic resonance imaging Yingjie Liang, Yue Yu
On the random fractional Bateman equations
Applications of fractional gradient descent method with adaptive momentum in BP neural networks
Dissipative and generative fractional RLC circuits in the transient regime
Linearized transformed L1 finite element methods for semi-linear time-fractional parabolic problems
Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control
Numerical approximation of the stochastic equation driven by the fractional noise
Extended fractional singular kalman filter
Queuing models with Mittag-Leffler inter-event times
The Lambert function method in qualitative analysis of fractional delay differential equations
Optimal approximation of analog PID controllers of complex fractional-order
Small order limit of fractional Dirichlet sublinear-type problems
Wind turbulence modeling for real-time simulation
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation
Controllability and observability of linear time-varying fractional systems
Publication information: Communications in Nonlinear Science and Numerical Simulation Available online 18 July 2023, 107437.
https://doi.org/10.1016/j.cnsns.2023.107437 Abstract This study proposes a fractal Bloch model to describe the stretched magnetization relaxation in magnetic resonance imaging (MRI). The fractal Bloch model extends the relaxation terms and preserves the linear Larmor precession terms under a constant magnetic field. The solutions of the fractal Bloch model have the form of stretched exponential and converge to the exponential form for the classical Bloch equation when the orders of the fractal derivative α= 1, and β= 1. The results show that the damped oscillations in Mx(t) or My(t) have a faster decay at short times, and slower decay at long times with the increasing values of α. The relaxation of Mz(t) with the stretched-exponential form increases more quickly than the exponential case at first, but then converges more slowly to the equilibrium magnetization, which needs a longer time to return the equilibrium in the cases of smaller order β.The fractal Bloch model is verified to characterize the signal decays in rat brain and bovine nasal cartilage. The fitting results show that the fractal Bloch model is effective to describe the stretched magnetization relaxation in MRI data. Thus, the fractal derivative is an alternative tool to use to understand MRI in complex systems, and its order can serve as an index to distinguish different relaxation processes in magnetization. Keywords Fractal derivative; Stretched exponential; Bloch equation; Larmor precession; Magnetic resonance imaging －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ An ADMM approach to a TV model for identifying two coefficients in the time-fractional diffusion system Mohemmad Srati, Abdessamad Oulmelk, Lekbir Afraites & Aissam Hadri Publication information: Fractional Calculus and Applied Analysis, Volume 26, 06 July 2023. Abstract We present the temperature distribution predictions for photothermal systems by considering an extension of dual-phase lag. It is an extension of the GCE-II and GCE-III models with a fractional dual-phase lag from kinetic relaxation time. Solving the one-dimensional problem considering a planar and periodic excitation, we obtained the temperature distribution and the Photoacoustic (PA) signal for the transmission setup. We also analyze the effects of fractional order derivatives and kinetic relaxation time. It is shown that the derived models have promising results that could be used to explain the experimentally observed behavior of PA signals measured on thin films with an inhomogeneous internal structure. Keywords Photothermal; Thermal diffusion; Subdiffusion; Superdiffusion; Generalized cattaneo equation ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
https://doi.org/10.1007/s13540-023-00180-1
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