FDA Express Vol. 45, No. 3, Dec. 31, 2022
FDA Express Vol. 45, No. 3, Dec. 31, 2022
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 45_No 3_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
ICTAFC 2023: 17. International Conference on Theory and Applications of Fractional Calculus
The International Conference on Fractional Differentiation and Its Applications (ICFDA 2022)
Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
◆ Books
Intelligent Numerical Methods: Applications to Fractional Calculus
◆ Journals
Fractional Calculus and Applied Analysis
◆ Paper Highlight
Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations
◆ Websites of Interest
Fractal Derivative and Operators and Their Applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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By: Sun, YH; Gao, XZ; etc.
EXPERT SYSTEMS WITH APPLICATIONS Volume: 214 Published: Mar 15 2023
Comparative analysis on fractional optimal control of an SLBS model
By:Eroglu, BBI and Yapiskan, D
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 421 Published: Mar 15 2023
Spectrum-based stability analysis for fractional-order delayed resonator with order scheduling
By: Cai, JZ; Liu, YF; etc.
JOURNAL OF SOUND AND VIBRATION Volume:546 Published: Mar 3 2023
By:Yan, SL; Su, Q; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 91 Page:277-298 Published: Mar 2023
Asymptotic profiles and concentration-diffusion effects in fractional incompressible flows
By: Qian, CY and Wang, LM
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Volume: 228 Published: Mar 2023
Discrete Caputo Delta Fractional Economic Cobweb Models
By:Chen, CR
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 22 Published: Mar 2023
By:Aravind, RV and Balasubramaniam, P
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:420 Published:Mar 1 2023
By:Li, M; Hu, YZ; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 420 Published: Mar 1 2023
Gegenbauer wavelet solutions of fractional integro-differential equations
By: Ozaltun, G; Konuralp, A and Gumgum, S
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:420 Published: Mar 1 2023
By:Saemi, F; Ebrahimi, H; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 420 Published: Mar 1 2023
By:Zaky, MA; Van Bockstal, K; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 420 Published:Mar 1 2023
Generalized Fractional Differential Systems with Stieltjes Boundary Conditions
By: Nyamoradi, N and Ahmad, B
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 22 Published: Mar 2023
On the equivalence between fractional and classical oscillators
By:Labedzki, P and Pawlikowski, R
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 116 Published: Jan 2023
A new accurate method for solving fractional relaxation-oscillation with Hilfer derivatives
Admon, MR; Senu, N; etc.
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 42 Published: Feb 2023
By: Williams, WK and Vijayakumar, V
BULLETIN DES SCIENCES MATHEMATIQUES Volume: 182 Published: Feb 2023
Multiple solutions for the fractional p-Laplacian with jumping reaction
By:Frassu, S and Iannizzotto, A
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Volume: 25 Published: Feb 2023
By:Ma, YK; Vijayakumar, V; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 63 Page:271-282 Published:Feb 2023 |
A new accurate method for solving fractional relaxation-oscillation with Hilfer derivatives
By:Admon, MR; Senu, N; etc.
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 42 Published: Feb 2023
Stability and stabilization of fractional-order non-autonomous systems with unbounded delay
By:Zhang, SL; Tang, ML; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 117 Published: Feb 2023
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Call for Papers
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ICTAFC 2023: 17. International Conference on Theory and Applications of Fractional Calculus
( March 06-07, 2023 in Barcelona, Spain)
Dear Colleagues: International Conference on Theory and Applications of Fractional Calculus aims to bring together leading academic scientists, researchers and research scholars to exchange and share their experiences and research results on all aspects of Theory and Applications of Fractional Calculus. 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 Theory and Applications of Fractional Calculus.
Keywords:
- Fractional differential equations
- Fractional integral equations
- Fractional integro-differential equations
- Fractional integrals and fractional derivatives associated with special functions of mathematical physics
- Inequalities and identities involving fractional integrals and fractional derivatives
Organizers:
Anilkumar Devarapu, University of North Georgia, United States
Xuezhang Hou, Towson University, United States
Christina Pospisil, University of Salvador, United States
Guest Editors
Important Dates:
Deadline for conference receipts: February 10, 2023.
All details on this conference are now available at: https://waset.org/theory-and-applications-of-fractional-calculus-conference-in-march-2023-in-barcelona#nav-dates/.
The International Conference on Fractional Differentiation and Its Applications (ICFDA 2022)
( March 14-16, 2023 AJMAN UNIVERSITY, AJMAN, UAE)
Dear Colleagues: The International Conference on Fractional Differentiation and its Applications (ICFDA 2022) will take place in Ajman University, Ajman, UAE on 14-16 March, 2023. The conference will provide an excellent international forum for dissemination of original research results, new ideas and practical development experiences which concentrate on both theory and practices of the academics, researchers, engineers and also industry professionals. The editions of ICFDA were performed successfully in France (2004), Portugal (2006), Turkey (2008), Spain (2010), China (2010), France (2013), Italy (2014), Serbia (2016), Jordan (2018), and Poland (2020), respectively. The conference will be in hybrid mode. There will be both In-Person, Virtual, and Poster Sessions. All submissions will be subject to double-blind reviews and all accepted and presented papers will be submitted to IEEE Xplore for publication. IEEE Xplore is currently indexed in Scopus and Web of Science. IEEE record number: 58234. The acceptance of the papers submitted to ICFDA’22 will be based on quality, relevance, and originality. Selected and peer-reviewed articles will be published in special issue of International Journals after an additional review process and extra publication charge.
Keywords:
- Fractional-order transforms and their applications
- Fractional-order wavelet applications to the composite drug signals
- History of fractional-order calculus
- Fractional-order image processing
- Mathematical methods
- Mechanics
- Physics
- Robotics
- Signal processing
- Singularities analysis and integral representations for fractional differential systems
- Special functions related to fractional calculus
- Fractional-order modeling and control in
- Viscoelasticity
- Fractional-order variational principles
Organizers:
Prof. Shaher Momani,FIAS.
ICFDA' 22 Chair, Head of Nonlinear Dynamics Research Centre, Ajman University, UAE
Important Dates:
Deadline for conference receipts: January 15, 2023.
All details on this conference are now available at: https://www.ajman.ac.ae/en/icfda2022/.
Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
( A special issue of Fractal and Fractional )
Dear Colleagues: Nowadays, advances in the knowledge of nonlinear dynamical systems and processes as well as their unified repercussions allow us to include some typical complex phenomena taking place in nature, from nanoscale to galactic scale, in a unitary comprehensive manner. After all, any of these systems called generic dynamical systems, chaotic systems or fractal systems have something essential in common and can be considered to belong to the same class of complex phenomena, discussed here. The available physical, biological and financial data and technological (mechanical or electronic devices) complex systems can be managed by the same conceptual approach, both analytically and through a computer simulation, using effective nonlinear dynamics methods. Currently, the utilization of fractional-order partial differential equations in real physical systems is commonly encountered in the fields of theoretical science and engineering applications. This means that the productive, efficacious computational tools required for analytical and numerical estimations of such physical models, and our reliance on their development in referenced works, are welcome. Chaotic instabilities in the mathematical physics theory, fractal-type spatiotemporal behaviors in the field theory, nonlinear dynamic processes in plasma complex structures, fractional calculus and novel algorithms to solve fractional-order derivatives of classic problems are expected.
Keywords:
- Chaotic systems
- Fractal systems
- Fractal-type field theory
- Fractal analysis
- Fractional calculus
- Fractional-order derivatives algorithms
- Fractional derivatives neural networks
- Image processing
- Fractional diffusion
- Nonlinear dynamics
- Time series method
- Diffusion process
- Control theory
- Mathematical modeling
Organizers:
Prof. Dr. Viorel-Puiu Paun
Guest Editors
Important Dates:
Deadline for manuscript submissions: 20 January 2023.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/complex_system.
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Books
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Intelligent Numerical Methods: Applications to Fractional Calculus
( Authors: George A. Anastassiou , Ioannis K. Argyros )
Details:https://doi.org/10.1007/978-3-319-26721-0
Book Description:
In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.
Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book’s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.
Author Biography:
George A. Anastassiou, Department of Mathematical Sciences, The University of Memphis, Memphis, USA
Ioannis K. Argyros, Department of Mathematical Sciences, Cameron University, Lawton, USA
Contents:
Front Matter
Newton-Like Methods on Generalized Banach Spaces and Fractional Calculus
Abstract; References;
Semilocal Convegence of Newton-Like Methods and Fractional Calculus
Abstract; References;
Convergence of Iterative Methods and Generalized Fractional Calculus
Abstract; References;
Fixed Point Techniques and Generalized Right Fractional Calculus
Abstract; References;
Approximating Fixed Points and k-Fractional Calculus
Abstract; References;
Iterative Methods and Generalized g-Fractional Calculus
Abstract; References;
Unified Convergence Analysis for Iterative Algorithms and Fractional Calculus
Abstract; References;
Convergence Analysis for Extended Iterative Algorithms and Fractional and Vector Calculus
Abstract; References;
Convergence Analysis for Extended Iterative Algorithms and Fractional Calculus
Abstract; References;
Secant-Like Methods and Fractional Calculus
Abstract; References;
Secant-Like Methods and Modified g-Fractional Calculus
Abstract; References;
Secant-Like Algorithms and Generalized Fractional Calculus
Abstract; References;
Secant-Like Methods and Generalized g-Fractional Calculus of Canavati-Type
Abstract; References;
Iterative Algorithms and Left-Right Caputo Fractional Derivatives
Abstract; References;
Iterative Methods on Banach Spaces with a Convergence Structure and Fractional Calculus
Abstract; References;
Inexact Gauss-Newton Method for Singular Equations
Abstract; References;
The Asymptotic Mesh Independence Principle
Abstract; References;
Ball Convergence of a Sixth Order Iterative Method
Abstract; References;
Broyden’s Method with Regularly Continuous Divided Differences
Abstract; References;
Back Matter
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(Selected)
A class of iterative functional fractional differential equation on infinite interval
Xiping Liu, Mei Jia
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Pin Lyu, Linghui Zhou, Seakweng Vong
Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn–Hilliard equations
Xin Huang, Dongfang Li, Hai-Wei Sun
Analysis of asymptotic behavior of the Caputo–Fabrizio time-fractional diffusion equation
Jinhong Jia, Hong Wang
Xiaohan Zhu, Hong-lin Liao
A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion
Jong-Shenq Guo, Masahiko Shimojo
Error estimate of the fast L1 method for time-fractional subdiffusion equations
Yuxiang Huang, Fanhai Zeng, Ling Guo
Ji Lin, Yitong Xu, etc.
Natalia Kopteva
Jie He, Qian Guo
An existence result for super-critical problems involving the fractional p-Laplacian in RN
Zijian Wu, Haibo Chen
Fast difference scheme for a tempered fractional Burgers equation in porous media
Haihong Wang, Can Li
Jia Li, Botong Li, Yahui Meng
>
Fractional Calculus and Applied Analysis ( Volume 25, Issue 6 ) Tokinaga Namba, Piotr Rybka, Shoichi Sato Giovanni Franzina & Danilo Licheri Michal Fečkan, Michal Pospíšil, Marius-F. Danca & JinRong Wang Jia Wei He & Yong Zhou Nguyen Thi Van Anh, Nguyen Van Dac & Tran Van Tuan Hamid Mehravaran, Hojjatollah Amiri Kayvanloo & Mohammad Mursaleen Iness Haouala & Ahmed Saoudi Eduardo Cuesta & Rodrigo Ponce Zuomao Yan Renu Chaudhary & Simeon Reich Bin-Bin He, Hua-Cheng Zhou & Chun-Hai Kou Hongchao Jia, Jin Tao, Dachun Yang, Wen Yuan & Yangyang Zhang Marta D’Elia, Mamikon Gulian, Tadele Mengesha & James M. Scott Jiabin Zuo, Debajyoti Choudhuri & Dušan D. Repovš Waseem Z. Lone, Firdous A. Shah & Ahmed I. Zayed ======================================================================== Paper Highlight Material coordinate driven variable-order fractal derivative model of water anomalous adsorption in swelling soil
Special solutions to the space fractional diffusion problem
A non-local semilinear eigenvalue problem
Caputo delta weakly fractional difference equations
Cauchy problem for non-autonomous fractional evolution equations
Fractional Jacobi-Dunkl transform: properties and application
Two-dimensional fractional shearlet transforms in L2(R2)
Peibo Tian, Yingjie Liang
Publication information: Chaos Solitons & Fractals Volume 164, November 2022, 112754.
https://doi.org/10.1016/j.chaos.2022.112754
Abstract
The diffusion process of water in swelling (expansive) soil often deviates from normal Fick diffusion and belongs to anomalous diffusion. The process of water adsorption by swelling soil often changes with time, in which the microstructure evolves with time and the absorption rate changes along a fractal dimension gradient function. Thus, based on the material coordinate theory, this paper proposes a variable order derivative fractal model to describe the cumulative adsorption of water in the expansive soil, and the variable order is time dependent linearly. The cumulative adsorption is a power law function of the anomalous sorptivity, and patterns of the variable order. The variable-order fractal derivative model is tested to describe the cumulative adsorption in chernozemic surface soil, Wunnamurra clay and sandy loam. The results show that the fractal derivative model with linearly time dependent variable-order has much better accuracy than the fractal derivative model with a constant derivative order and the integer order model in the application cases. The derivative order can be used to distinguish the evolution of the anomalous adsorption process. The variable-order fractal derivative model can serve as an alternative approach to describe water anomalous adsorption in swelling soil.
Keywords Water adsorption; Variable order; Fractal derivative; Swelling soil; Material coordinate
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Numerical investigation of two models of nonlinear fractional reaction subdiffusion equations
Sheelan Osman & Trevor Langlands
Publication information: Fractional Calculus and Applied Analysis volume 25, 2022.
https://doi.org/10.1007/s13540-022-00096-2
Abstract We consider new numerical schemes to solve two different systems of nonlinear fractional reaction subdiffusion equations. These systems of equations model the reversible reaction A+B⇌C in the presence of anomalous subdiffusion. The first model is based on the Henry & Wearne [1] model where the reaction term is added to the subdiffusion equation. The second model is based on the model by Angstmann, Donnelly & Henry [2] which involves a modified fractional differential operator. For both models the Keller Box method [3] along with a modified L1 scheme (ML1), adapted from the Oldham and Spanier L1 scheme [4], are used to approximate the spatial and fractional derivatives respectively. Numerical prediction of both models were compared for a number of examples given the same initial and boundary conditions and the same anomalous exponents. From the results, we see similar short time behaviour for both models predicted. However for long times the solution of the second model remains positive whilst the Henry & Wearne based–model predictions may become negative.. Keywords Fractional reaction subdiffusion equation; Keller Box method; Fractional calculus; L1 scheme; Nonlinear reactions systems ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
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