FDA Express Vol. 43, No. 1, Apr. 30, 2022
FDA Express Vol. 43, No. 1, Apr. 30, 2022
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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
ICFC 2022: 16. International Conference on Fractional Calculus
Variable-Order Fractional Problems: Modeling, Analysis, Approximation and Application
◆ Books Fractional Behaviours Modelling ◆ Journals ◆ Paper Highlight
Stochastic stability analysis of a fractional viscoelastic plate excited by Gaussian white noise
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Ma, YK; Kavitha, K; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:7291-7302 Published: Sep 2022
By: Subramanian, M; Manigandan, M; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page:1-23 Published: Dec 31 2022
By: Koprulu, MO
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume:16 Page:66-74 Published: Dec 31 2022
By:Ali, I; Haq, S; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page:6077-6087 Published: Aug 2022
A Super-Twisting-Like Fractional Controller for SPMSM Drive System
By: Hou, QK; Ding, SH; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 69 Page: 9376-9384 Published: Sep 2022
Fractional Choquard Equations with an Inhomogeneous Combined Non-linearity
By: Saanouni, T and Alharbi, MG
MEDITERRANEAN JOURNAL OF MATHEMATICS Volume: 19 Published: Jun 2022
Some properties of space-time fractional stochastic partial differential equations with levy noise
By:Li, KX
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume:51 Page: 1715-1722 Published: Oct 2022
By:Yepez-Martinez, H; Rezazadeh, H; etc.
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS Volume: 31 Published: Sep 2022
A fast collocation method for solving the weakly singular fractional integro-differential equation )
By: Taghipour, M and Aminikhah, H
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 41 Published: Jun 2022
By:Pang, XB; Yang, XF; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 5805-5818 Published: Aug 2022
Existence and Hyers-Ulam Stability Results for Partial Fractional-Order Delay Differential Equations
By:Duman, O and Develi, F
RESULTS IN MATHEMATICS Volume: 77 Published: Jun 2022
Jacobi spectral collocation technique for fractional inverse parabolic problem
By: Abdelkawy, MA; Zaky, MEA; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 6221-6236 Published: Aug 2022
Fractional-Order Multiperiodic Odd-Harmonic Repetitive Control of Programmable AC Power Sources
By:Chen, YX; Zhou, KL; etc.
IEEE TRANSACTIONS ON POWER ELECTRONICS Volume: 37 Page:7751-7758 Published: Jul 2022
By:Dubey, VP; Singh, J; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 196 Page:296-318 Published: Jun 2022
By: Padmaja, N and Balasubramaniam, P
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 41 Published: Jun 2022
A Note on Exact Minimum Degree Threshold for Fractional Perfect Matchings
By: Lu, HL and Yu, XX
GRAPHS AND COMBINATORICS Volume: 38 Published: Jun 2022
By:Caporale, GM; Gil-Alana, LA and Sauci, L
INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH Volume: 16 Published:Jun 2022 |
Fractional Calculus of the Lerch Zeta Function
By:Guariglia, E
MEDITERRANEAN JOURNAL OF MATHEMATICS Volume: 19 Published: Jun 2022
Small order asymptotics for nonlinear fractional problems
By: Santamaria, VH and Saldana, A
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Volume: 61 Published: Jun 2022
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
ICFC 2022: 16. International Conference on Fractional Calculus
( September 15-16, 2022 in Rome, Italy )
Dear Colleagues: International Conference on 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 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 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:
Orchidea Maria Lecian
Christina Pospisil
Guest Editors
Important Dates:
Deadline for manuscript submissions: May 03, 2022.
All details on this conference are now available at: https://waset.org/fractional-calculus-conference-in-september-2022-in-rome.
Variable-Order Fractional Problems: Modeling, Analysis, Approximation and Application
( A special issue of Fractal and Fractional )
Dear Colleagues: Variable-order fractional problems have attracted increasing attention in recent decades, with growing successful applications in various fields. Compared with their constant-order fractional analogues, the variability of the fractional order provides an extra dimension to improve the modeling capability of these models for complex phenomena. Furthermore, one could connect the fractional problems and their integer-order counterparts by adjusting the variable fractional order. However, the introduction of the variable order in fractional models leads to several mathematical and numerical difficulties that have not been previously encountered, and corresponding studies are far from well-developed.
This Special Issue aims to promote the investigation of variable-order fractional problems from all aspects, such as modeling, numerical methods and analysis, theoretical analysis, and applications. We invite you to submit comprehensive review papers and original articles. This issue will cover topics of interest including, but not limited to, the following topics:
- Modeling by equations involving variable-order fractional operators;
- Numerical discretization and numerical analysis for variable-order fractional problems;
- Mathematical analysis for variable-order fractional problems, e.g., well-posedness and smoothing properties of the solutions;
- Practical applications of variable-order fractional problems in all fields;
- Other related topics on variable-order fractional problems, e.g., optimal control problems, inverse problems, and calculus of variations.
Keywords:
- Variable-order
- Fractional calculus
- Fractional differential equation
- Modeling and application
- Approximation method
- Mathematical analysis
- Numerical analysis
- Numerical simulation
Organizers:
Dr. Xiangcheng Zheng
Prof. Hongguang Sun
Prof. Hong Wang
Prof. Yong Zhang
Guest Editor
Important Dates:
Deadline for manuscript submissions: 30 May 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/variable_order_fractional_problems.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Jocelyn Sabatier; Christophe Farges; Vincent Tartaglione )
Details:https://doi.org/10.1007/978-3-030-96749-9 Book Description: This book is dedicated to the analysis and modelling of fractional behaviours that mainly result from physical stochastic phenomena (diffusion, adsorption or aggregation, etc.) of a population (ions, molecules, people, etc.) in a constrained environment and that can be found in numerous areas. It breaks with the usual approaches based on fractional models since it proposes to use unusual models which have the advantage of overcoming some of the limitations of fractional models.
This book is dedicated to postgraduated students and to researchers in the field or those who wish to learn with a fresh perspective. After a review of fractional models and their limitations, it proposes and demonstrates the interest of four other modelling tools to capture fractional behaviours: new kernels in integral operators, Volterra equations, nonlinear models and partial differential equations with spatially variable coefficients. Several applications on real data and devices illustrate their efficiency.
Author Biography:
Jocelyn Sabatier, IMS LaboratoryBordeaux UniversityTalenceFrance.
Christophe Farges, IMS LaboratoryBordeaux UniversityTalenceFrance.
Vincent Tartaglione, IMS LaboratoryBordeaux UniversityTalenceFrance.
Contents:
Front Matter
Introduction
References;
Power-Law Type Dynamic Behaviours
Introduction; Definitions of Power-Law Type Long Memory Behaviours; Some Examples; References;
Fractional Order Models
Introduction; Fractional Integration; Fractional Differentiation; Frequency Response of Fractional Integration and Differentiation Operators; Fractional Models Definition; How to Take into Account Initial Conditions; Some Drawbacks Associated to Fractional Models; References;
Introduction of New Kernels
Introduction; Kernels ην1(t); Kernel ην2(t) ; Kernel ην3(t); Kernel ην4(t); Conclusion; References;
Volterra Equation
Introduction; Pseudo State Space Description: A Particular Case of the Volterra Equations; A Volterra-Equation-Based Model for Power-Law Type Long Memory Behaviour; Conclusion; References;
Non-linear Models
Introduction; Application to Adsorption; Conclusion; References;
Partial Differential Equations with Spatially Variable Coefficients
Introduction; Prior Art on the Approximation of Fractional Order Integrators and the Resulting Electrical Networks; Beyond Geometric Distribution; Extension to Cauer Type Networks; Heat Equation with Spatially Variable Coefficients for Power-Law Type Long Memory Behaviour Modelling; Discussions Around Some Other Distributions for Further; References;
Conclusion
References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) İbrahim Ethem Saçu, Nimet Korkmaz Qian Zhang, Hongwei Wang, Chunlei Liu H. Hassani, J. A. Tenreiro Machado, Z. Avazzadeh, E. Naraghirad & S. Mehrabi Rongchun Hu, Dongxu Zhang, Zichen Deng, Chenghui Xu F. M. Kamal, A. Elsaid, A. Elsonbaty Qianying Cao, Sau-Lon James Hu, Huajun Li Liangwei Zeng, Milivoj R. Belić, Dumitru Mihalache, Jincheng Shi, Jiawei Li, Siqi Li, Xiaowei Lu, Yi Cai & Jingzhen Li Zhi-Yong Zhang, Zhi-Xiang Lin, Lei-Lei Guo Dawei Ding, Heng Xiao, Zongli Yang, Honglin Luo, Yongbing Hu, Xu Zhang & Yan Liu Ghodsieh Ghanbari & Mohsen Razzaghi Li Ma, Bowen Wu Jean-François Duhé, Stéphane Victor, Pierre Melchior, Youssef Abdelmounen & François Roubertie Shuai Li, Chengdai Huang, Sanling Yuan Ramasamy Kavikumar, Rathinasamy Sakthivel, Oh-Min Kwon & Palanisamy Selvaraj Jie Xu, Zongli Lin (Selected) Hamid Reza Marzban Chuanjin Zu, Xiangyang Yu Jiaquan Xie, Fuqiang Zhao, Dongping He, Wei Shi Muhammad Imran Asjad, Pongsakorn Sunthrayuth, Muhammad Danish Ikram, Taseer Muhammad, Ali Saleh Alshomrani Ayaz Hussain Bukhari, Muhammad Asif Zahoor Raja, Naila Rafiq, Muhammad Shoaib, Adiqa Kausar Kiani, Chi-Min Shu Ziqiang Lu, Yuanguo Zhu Zhe Zhang, Yaonan Wang, Jing Zhang, Zhaoyang Ai, FengLiu Mohamed El-Beltagy, Ahmed Etman, Sroor Maged Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, Zeshan Aslam Khan, Ammara Mehmood, Syed Muslim Shah B.A.Guimfack, R. Mbakob Yonkeu, C.B.Tabi, T.C. Kofané H.E. Gilardi-Velázquez, J.L. Echenausía-Monroy, R.Jaimes-Reátegui, J.H.García-López, EricCampos G.Huerta-Cuellar A.M.Ngounou, S.C.Mba Feulefack, L.M.Anague Tabejieu, B.R.Nana Nbendjo Muhammad Imran Liaqat, Adnan Khan, Ali Akgül Yang Yang, Xiuqin Wang ======================================================================== Paper Highlight A fractional-order dependent collocation method with graded mesh for impulsive fractional-order system Xiaoting Liu, Yong Zhang, Hongguang Sun, Zhilin Guo
MILM hybrid identification method of fractional order neural-fuzzy Hammerstein model
Optimal solution of the fractional-order smoking model and its public health implications
Stochastic analysis of a nonlinear energy harvester with fractional derivative damping
Ghost attractor in fractional order blinking system and its application
Frequency/Laplace domain methods for computing transient responses of fractional oscillators
Finite-time stability of Hadamard fractional differential equations in weighted Banach spaces
Modeling thermal systems with fractional models: human bronchus application
Robust tracking control design for fractional-order interval type-2 fuzzy systems
Time fractional Schrödinger equation with a limit based fractional derivative
Bifurcation and resonance of fractional cubic nonlinear system
Design of intelligent computing networks for nonlinear chaotic fractional Rossler system
Nonlinear impulsive problems for uncertain fractional differential equations
Novel stability results of multivariable fractional-order system with time delay
Development of a fractional Wiener-Hermite expansion for analyzing the fractional stochastic models
Deterministic coherence resonance analysis of coupled chaotic oscillators: fractional approach
A novel modified conformable fractional grey time-delay model for power generation prediction
Publication information: Computational Mechanics: January 2022
https://doi.org/10.1007/s00466-021-02085-3 Abstract The impulsive differential equations are regarded as an optimal method to describe solute concentration fluctuation transport in unsteady flow field which are influenced by natural factors or human activities. The key difficulty of impulsive fractional-order system (IFS) in numerical discretization is that fractional-orders are different in different impulsive period. This paper proposes a double-scale-dependent mesh method considering the period memory, and makes a comparison with four collocation modes for the implict difference method. Furthermore, the stability and truncation error for graded meshes are estimated and analyzed. The analysis result reveals that the convergence rate mainly depends on the largest fractional order on the IFS. Numerical results show all graded meshes (producing the dense mesh at the early stage) provide better performance than uniform mesh. Meanwhile, the PDE cases show double-scale-dependent mesh is the most efficient numerical approximation method for the pulsation diffusion of contaminant in porous medium. Keywords Unsteady fow feld; Impulsive fractional-order system; Double-scale-dependent mesh; Graded mesh Computational efciency －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Dongliang Hu, Xiaochen Mao, Lin Han Publication information: Mechanical Systems and Signal Processing: Volume 177, 1 September 2022 Abstract The fractional viscoelastic model arises naturally in the context of systems where integer order model does not match well with practical needs and finds wide applications in engineering reality. However, the research on stochastic dynamic characteristic of the fractional viscoelastic plate is still limited. In this paper, the stochastic stability of a fractional viscoelastic plate under Gaussian white noise is studied by determining the pth moment Lyapunov exponent. Firstly, by introducing the fractional Kelvin–Voigt model to represent the constitutive relation, the fractional stochastic dynamic equations with two degrees of freedom for the viscoelastic plate are established by piston theory and Galerkin approximate method. Thereafter, the first-order approximate analytic results of the pth moment Lyapunov exponent are calculated through utilizing the singular perturbation method, which agree well with the Monte Carlo simulations. Finally, the effects of noise, viscoelastic factors and system parameters on the stochastic stability of the fractional viscoelastic plate are investigated in detail. We show that the natural frequencies carry significant effects on the stochastic stability of the viscoelastic plate. Keywords: Stochastic stability; Moment Lyapunov exponent; Largest Lyapunov exponent; Perturbation method; Fractional viscoelastic plate ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Stochastic stability analysis of a fractional viscoelastic plate excited by Gaussian white noise
https://doi.org/10.1016/j.ymssp.2022.109181
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