FDA Express    Vol. 41, No. 1, Oct. 30, 2021

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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

(Searched on Oct. 30, 2021)

◆  Call for Papers

New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

Fractional Dynamics: Theory and Applications

A fractional‑order dependent collocation method with graded mesh for impulsive fractional‑order system

Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source

 Fractional Nambu dynamics

By: Xu, YL; Luo, SK
ACTA MECHANICA Volume: ‏ 226 Issue: 11 Page: 3781-3793 Published: ‏ MAR 1 2022

 Diffusion Based Channel Gains Estimation in WSN Using Fractional Order Strategies

 Higher order numerical schemes for the solution of fractional delay differential equations

 Finite-time extended state observer and fractional-order sliding mode controller for impulsive hybrid port-Hamiltonian systems with input delay and actuators saturation: Application to ball-juggler robots

 A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations

 On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation

 Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations

 Leader-follower non-fragile consensus of delayed fractional-order nonlinear multi-agent systems

 Non-convex fractional-order derivative for single image blind restoration

 Study and analysis of nonlinear (2+1)-dimensional solute transport equation in porous media

 Mixed H-infinity/passivity based stability analysis of fractional-order gene regulatory networks with variable delays

 Analysis of a hidden memory variably distributed-order space-fractional diffusion equation

 Solution of a fractional logistic ordinary differential equation

 Fractional Order Linear Active Disturbance Rejection Control for Linear Flexible Joint System

 Analysis and discretization of a variable-order fractional wave equation

 Projective Multi-Synchronization of Fractional-order Complex-valued Coupled Multi-stable Neural Networks with Impulsive Control

 A unified approach for novel estimates of inequalities via discrete fractional calculus techniques

 Bifurcation Dynamics in a Fractional-Order Oregonator Model Including Time Delay

 Unsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel

New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

( A special issue of Fractal and Fractional )

Dear Colleagues: Important scientific phenomena, for instance, the growth of bacteria, snowflakes (freezing water), and brain waves have been accurately addressed recently using the notions of fractals. Their mathematical formulation has achieved major scientific insights. Different phenomena with a pulse, rhythm, or pattern have an opportunity to be a fractal. For example, wireless cell phone antennas are used to enhance the quality and the range of signals in a fractal pattern.

This Special Issue cordially invites and welcomes review, expository, and original research articles comprising new advancements in pure and applied mathematics via fractals and fractional calculus, along with their applications across widely dispersed disciplines in the physical, natural, computational, environmental, engineering, and statistical sciences. This Special Issue also welcomes articles providing new trends in the mathematical theory of Bifurcation and Chaos control, which are insightful for significant applications, particularly in complex systems. Numerical calculations may also support the established results.

Keywords:

Organizers:

Dr. Asifa Tassaddiq
Dr. Muhammad Yaseen
Guest Editors

Important Dates:

Deadline for manuscript submissions: 15 December 2021.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/pure_and_applied_math.

Fractional Dynamics: Theory and Applications

( A special issue of Fractal and Fractional )

Dear Colleagues: Investigation of random processes in complex media has been attracting plenty of attention for years. Theoretical modeling of diffusion in heterogeneous and disordered media takes considerable part of these studies. Heterogeneous and disordered materials include various materials with defects, multi-scale amorphous composites, fractal and sparse structures, weighted graphs, and networks. Diffusion in such media with geometric constraints and random forces is often anomalous and is described by fractional calculus. Further development of the theoretical modeling of these random processes in a variety of realizations in physics, biology, social sciences, and finance is an essential part of modern studies, what we called complex systems.

New mathematical approaches shed light on many questions and also pose new ones. One such example is a random search process, whose systematic research stems from projects involving hunting for submarines, while the modern study of first-passage or hitting times covers a large area of search problems, from animal food foraging to molecular reactions and gene regulation. Moreover, random search processes in complex networks are important in order to understand animal food search strategies and improve web search engines, or to prolong or speed up survival times in first-encounter tasks.

Many of the aforementioned processes can be described by various random walk models, as well as generalized (fractional) Fokker–Planck and Langevin equations, which, in turn, may describe completely different problems with common features. In particular, a class of diffusion in the heterogeneous environment is closely connected to turbulent diffusion governed by inhomogeneous advection–diffusion equations, and also relates to the geometric Brownian motion, used to model stock prices.

The purpose of the Special Issue is to reflect current situation in fractional dynamics theory, and to collect various models for the description of anomalous diffusion and random walks in complex systems. We kindly invite researchers working in these fields to contribute with original research/review papers dedicated to theoretical modeling and applications.

Keywords:

Organizers:

Dr. Trifce Sandev
Guest Editor

Important Dates:

Deadline for manuscript submissions: 22 January 2022.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FDTA.

( Authors: Mark Edelman, Elbert E. N. Macau, Miguel A. F. Sanjuan )

Author Biography:

Miguel A.F. Sanjuan is a full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, physics and chemistry section, a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering, and an ordinary member of the Academia Europaea, section of physics and engineering sciences. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.

In addition, he is co-author of the Springer monograph Nonlinear Resonances and Predictability of Chaotic Dynamics. A finite-time Lyapunov exponents approach.

Mark Edelman is an associate professor of physics at Stern College, Yeshiva University, where he has been teaching since 2009. Prior to this appointment for 16 years he worked as a researcher at Courant Institute, NYU. He is one of the world leading experts in fractional dynamics.

Elbert E. N. Macau is Professor at Brazilian National Institute for Space Research (INPE) and at Sao Paulo Federal University (UNIFESP). He is one of the world leading experts in exploiting Nonlinear Dynamics approaches in OrbitalDynamics and Space Technology.

Contents:

Front Matter

New Insights and Perspectives in Chaotic, Fractional, and Complex Dynamics
Introduction; Nonlinear, Chaotic Dynamics and Applications; Fractional Dynamics and Applications; Complex Dynamics and Applications; Conclusions; References

Basin Entropy, a Measure of Final State Unpredictability and Its Application to the Chaotic Scattering of Cold Atoms
Introduction to Basin Entropy; Application of Basin Entropy to Experiments with Cold Atoms; Other Tools from Nonlinear Dynamics Applied to the Chaotic Scattering of Cold Atoms; Conclusions; References

Fireflies: A Paradigm in Synchronization
Introduction; The Light of Fireflies; Why Fireflies Synchronize?; Models to Explain the Fireflies’ Synchronous Behavior; Response to Synchronization; What Have We Learnt from Fireflies?; References

Mixed Synchronization in the Presence of Cyclic Chaos
Introduction; SHC in Discrete Systems; Synchronization in Discrete Cycling Systems; Discussion; References

Time-Delay Effects on Periodic Motions in a Duffing Oscillator
Introduction; A Semi-analytical Method; Discretization of Dynamical Systems; Period-m Motions; Bifurcation Trees Varying with Time-Delay; Discrete Fourier Series; Illustrations; Concluding Remarks; References;

Nonchaos-Mediated Mixed-Mode Oscillations in a Prey-Predator Model with Predator Dormancy
Introduction; Prey-Predator Model with Predator Dormancy; Nonchaos-Mediated Cascades of Mixed-Mode Oscillations; Conclusions; References

Bifurcations and Stability Regions of Nonlinear Dynamical Systems
Stability Regions of Nonlinear Dynamical Systems; Persistence of Stability Regions to Parameter Variation; Non-hyperbolic Equilibrium Points on the Stability Boundary; Stability Region Bifurcations; Concluding Remarks

Universality in Systems with Power-Law Memory and Fractional Dynamics
Introduction; Maps with Power-Law Memory and Fractional Maps; Periodic Sinks and Their Stability; Fractional Bifurcation Diagrams; Conclusion; References

Fractional Deterministic Factor Analysis of Economic Processes with Memory and Nonlocality
Introduction; Method of Differential Calculus of Arbitrary (non-Integer) Order; Comparison with the Standard Method of Differential Calculus; Integral Method of Arbitrary (non-Integer) Order; Conclusion; References;

Fractional-Order Model of Wine
Introduction; Empirical Fractional-Order Models; EIS Analysis of Wine; HC and Visualizing; Conclusions; References

Dynamics of Particles and Bubbles Under the Action of Acoustic Radiation Force
Introduction; Dynamics of Particles in an Acoustic Field; Cylindrical Resonators; Concentration Dynamics of Microparticles; Dynamics of Bubbles; The Effects of Memory and Inertia; Conclusions; References

Nonequilibrium Quantum Dynamics of Many-Body Systems
Introduction; Spin-1/2 Models; Dynamics: Survival Probability; Conclusions; References

Multi-jittering Instability in Oscillatory Systems with Pulse Coupling
Introduction; Dynamics of One Oscillator with Pulse Delayed Feedback; Jittering Regimes in a Single Oscillator; High Multistability of Jittering Regimes; Ring of Oscillators with Pulse Delayed Coupling; Jittering Waves and Their Relation to Jittering Regimes of a Single oscillator; Discussion and Conclusions; References

Power-Grids as Complex Networks: Emerging Investigations into Robustness and Stability
Introduction; Emerging investigations into Robustness and Stability in Power Systems; Perspectives and challenges; References

Back Matter

Publication information: Computational Mechanics: Available online October 2021