Special Issues

Fractal and Fractional publishes Special Issues to create collections of papers on specific topics, with the aim of building a community of authors and readers to discuss the latest research and develop new ideas and research directions. Special Issues are led by Guest Editors, who are experts on the topic. The journal’s Editor-in-Chief and/or designated EBM will oversee Guest Editor appointments and Special Issue proposals, checking their content for relevance and ensuring the suitability of the material for the journal. The papers published in a Special Issue will be collected and displayed on a dedicated page of the journal’s website. For any inquiries related to a Special Issue, please contact the Editorial Office.

Section
Search by Title/Keyword
 
Order results
Display
Results per page
Advances in Fractional-Order Multiagent Systems: Theory and Applications
edited by Ping Gong
submission deadline 25 Aug 2024 | 6 articles | Viewed by 7035 | Submission Open
Keywords: fractional-order dynamics; multiagent systems; distributed coordination control; nonlinear control; stability analysis; algorithm design
(This special issue belongs to the Section Engineering)
Analysis of Fractional Stochastic Differential Equations and Their Applications
edited by Zhiguo Luo and Danfeng Luo
submission deadline 30 Aug 2024 | Viewed by 281 | Submission Open
Keywords: fractional differential equations; stochastic differential equations; delay differential equations; impulsive differential equations; fuzzy differential equations; stability analysis; averaging principle; controllability; averaging principle; existence or uniqueness
(This special issue belongs to the Section General Mathematics, Analysis)
Fractals in Geology and Geochemistry
edited by , Qiuming Cheng and Frits Agterberg
submission deadline 31 Aug 2024 | 5 articles | Viewed by 5931 | Submission Open
(This special issue belongs to the Section Engineering)
Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives
edited by Phumlani Dlamini and Simphiwe Simelane
submission deadline 31 Aug 2024 | 4 articles | Viewed by 3319 | Submission Open
Keywords: Caputo-type fractional differential equations; Caputo-type fractional derivatives; generalized fractional derivatives; fractional inequalities; fractional operator; fractional Green’ s functions; fractional Laplace transform; fractional evolution equations; finite difference schemes; spectral methods; existence and uniqueness; stability; controllability; iterative learning controls
(This special issue belongs to the Section Numerical and Computational Methods)
Fractional Modelling, Analysis and Control for Power System
edited by Sunhua Huang, , Xin Li, Bin Wang and Yang Zhou
submission deadline 31 Aug 2024 | 2 articles | Viewed by 2933 | Submission Open
(This special issue belongs to the Section Engineering)
Fractal and Multifractal Analyses in Financial Markets and Economics, 2nd Edition
edited by
submission deadline 31 Aug 2024 | 1 articles | Viewed by 1268 | Submission Open
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal and Fractional in Geotechnical Engineering
edited by Shaoheng He, Zhi Ding and
submission deadline 1 Sep 2024 | 7 articles | Viewed by 7836 | Submission Open
Keywords: fractal dimension; fractional-order mechanics; micro-to-Macro analysis; geomaterial; tunnel; rock; concrete; foamed light soil; bituminous mixture
(This special issue belongs to the Section Engineering)
Fractal Analysis in Biology and Medicine
edited by
submission deadline 1 Sep 2024 | Viewed by 241 | Submission Open
Keywords: fractal analysis; fractal dimension; complexity; self-similarity; neuroscience; morphometry; cell and tissue analysis
Applications of Fractional-Order Grey Models
edited by Shuli Yan and
submission deadline 15 Sep 2024 | 5 articles | Viewed by 5258 | Submission Open
Keywords: fractional-order; grey model; prediction; algorithm; application
(This special issue belongs to the Section Engineering)
Fracture Analysis of Materials Based on Fractal Nature
edited by , Leandro Ferreira Friedrich and
submission deadline 15 Sep 2024 | Viewed by 158 | Submission Open
Keywords: size effect; fracture; damage; experimental analysis; acoustic emission; numerical simulations
(This special issue belongs to the Section Engineering)
Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition
edited by and Mahdieh S. Sadabadi
submission deadline 20 Sep 2024 | 2 articles | Viewed by 1999 | Submission Open
Keywords: fractional-order systems; distributed energy resources; energy storage systems; multi-energy systems; power electronic systems; power converters; renewable energy systems; artificial intelligence; stability analysis; intelligent control; fractional calculus; reliability and resilience
(This special issue belongs to the Section Engineering)
Fractional Calculus in the Design, Control and Implementation of Complex Systems submission deadline 26 Sep 2024 | 5 articles | Viewed by 6453 | Submission Open
Keywords: fractional calculus; chaotic systems; complex networks; variable order calculus; mathematical modeling; control theory; complexity; circuit implementation; chaos based cryptography; neural networks; identification and modeling; signal processing; complexity measures; chaos theory; applied mathematics
(This special issue belongs to the Section Complexity)
Fractional Mathematical Modelling: Theory, Methods and Applications
edited by Faranak Rabiei, and
submission deadline 30 Sep 2024 | 5 articles | Viewed by 6983 | Submission Open
Keywords: fractional differential and integral equations; new fractional operators and their properties; existence and uniqueness of solutions; analytical and numerical methods; stability analysis; fractional calculus in physics; fractional dynamics in complex systems; applications to science and engineering
(This special issue belongs to the Section Numerical and Computational Methods)
Mathematical and Fractional-Order Modeling for Infectious and Non-Infectious Diseases submission deadline 30 Sep 2024 | 3 articles | Viewed by 3579 | Submission Open
Keywords: mathematical modeling; fractional modeling; simulation; data analysis; disease modeling; optimal control
(This special issue belongs to the Section General Mathematics, Analysis)
Mittag-Leffler Function: Generalizations and Applications
edited by Juan Luis González-Santander
submission deadline 30 Sep 2024 | 1 articles | Viewed by 1233 | Submission Open
Keywords: the  Mittag-Leffler function in fractional calculus; the analytical properties of the  Mittag-Leffler function; the  mittag-leffler function in physical models; generalizations and extensions of the  Mittag-Leffler function; the  mittag-leffler function’ s connection to other special functions; applications of the  Mittag-Leffler function in engineering problems; applications of the Mittag-Leffler function in mathematical problems
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional-Order Approaches in Automation: Models and Algorithms
edited by , and Pablo Antonio López-Pérez
submission deadline 30 Sep 2024 | Viewed by 707 | Submission Open
Keywords: fractional-order systems; fractional-order control systems; fractional filtering; geometric interpretation of fractional-order calculus; system identifications; fractional derivatives; neural networks using fractional-order calculus
(This special issue belongs to the Section Engineering)
Fractal Dynamics and Machine Learning in Financial Markets
edited by David Alaminos
submission deadline 30 Sep 2024 | Viewed by 287 | Submission Open
Keywords: financial markets; speculation; fractal analysis; fractional dynamics; asset pricing; machine learning; risk management; volatility; algorithmic trading; corporate finance
(This special issue belongs to the Section Numerical and Computational Methods)
Fractal and Fractional in Construction Materials
edited by and
submission deadline 30 Sep 2024 | 1 articles | Viewed by 272 | Submission Open
Keywords: construction materials; fractal and fractional; mechanical performance; fractal theory; experiment; transportation; durability
(This special issue belongs to the Section Engineering)
New Developments in Tracking and Stabilization of Fractional-Order Systems
edited by Sakthivel Ramalingam and Parivallal Arumugam
submission deadline 30 Sep 2024 | Viewed by 210 | Submission Open
Keywords: robust control of fractional-order cyber– physical systems; tracking control of fractional-order systems; stabilization of fractional-order systems; fractional-order time delay systems; disturbance rejection of fractional order systems; optimal control of fractional-order systems; event-triggered control for fractional order systems; fractional-order networked control systems; fractional-order neural networks; fractional-order fuzzy systems
(This special issue belongs to the Section Engineering)
Delayed and Stochastic Fractional Order Dynamical Systems: Theory, Numerical Methods, Control, and Applications
edited by Andreas Basse-O'Connor, Ahmadreza Haghighi, and
submission deadline 30 Sep 2024 | Viewed by 201 | Submission Open
Keywords: fractional calculus; delayed systems; stochastic processes; control strategies; stability analysis; signal processing; robotics; biomedical engineering; renewable energy; communication networks; economics; finance; interdisciplinary research; electrical circuits; mechanical systems; process optimization biomedical modeling
Modeling and Control of Fractal and Fractional Dynamical Systems in Neurological Disorders
edited by , and Porfirio Toledo Hernández
submission deadline 30 Sep 2024 | Viewed by 134 | Submission Open
Keywords: neurological disorders; fractal analysis; entropy applications; neurological disorders; fractional dynamical systems
(This special issue belongs to the Section Life Science, Biophysics)
Symmetry and Solutions of Fractional Differential Equations with Their Developments
edited by Lihong Zhang, , and
submission deadline 15 Oct 2024 | 8 articles | Viewed by 10722 | Submission Open
Keywords: nonlinear fractional ordinary (partial) differential equations and applications; nonlinear problem involving fractional Laplacian operators and their variants; nonlinear Hammerstein equations involving fractional operators; nonlocal Monge– Ampere equation and its extensions; nonlocal operators; symmetries; and applications; geometrical methods for problems of mathematical physics; geometrical analysis and differential equations; monotonicity of solutions to various differential equations; existence and uniqueness of solutions to differential equations; symmetry of solutions to differential equations
(This special issue belongs to the Section General Mathematics, Analysis)
Iterative Methods in Solving Nonlinear Equations Based on Fractal and Fractional Perspective submission deadline 20 Oct 2024 | Viewed by 150 | Submission Open
Keywords: iterative methods; stability theory; methods with memory; simultaneous roots; multiple roots; fractional derivatives; fractal dimension; nonlinear dynamics; mathematical modelling
(This special issue belongs to the Section General Mathematics, Analysis)
Bifurcation, Chaos, and Fractals in Fractional-Order Electrical and Electronic Systems
edited by Faqiang Wang, and Hongbo Cao
submission deadline 25 Oct 2024 | 5 articles | Viewed by 7264 | Submission Open
Keywords: bifurcation and its control; chaos and its control; fractals and their control; fractional-order inductor/capacitor; fractional-order memristor/meminductor/memcapacitor; fractional-order circuits and systems; fractional-order electrical and electronic systems; multi-timescale and entropy analysis; fractional calculus applications
(This special issue belongs to the Section Complexity)
Fractal Theory in Cement-Based Materials: Investigations and Applications
edited by , and Mulan Mu
submission deadline 30 Oct 2024 | Viewed by 121 | Submission Open
Keywords: fractal theory; cement-based materials; crack shape; tortuosity; physical properties; pore structure; microstructure
(This special issue belongs to the Section Engineering)
Fractional Calculus Applied in Environmental Biosystems
edited by Diogo Francisco Rossoni and Gustavo de Souza Matias
submission deadline 30 Oct 2024 | Viewed by 89 | Submission Open
Keywords: bioprocess modeling; environmental models; biosystem anomalies; fractional calculus
Fractional Differential Operators with Classical and New Memory Kernels submission deadline 31 Oct 2024 | 6 articles | Viewed by 5793 | Submission Open
Keywords: fractional operators; 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
(This special issue belongs to the Section General Mathematics, Analysis)
Complexity, Fractality and Fractional Dynamics Applied to Science and Engineering
edited by Alexandra M.S.F. Galhano, and
submission deadline 31 Oct 2024 | 2 articles | Viewed by 4712 | Submission Open
Keywords: fractional-order systems; memory; econophysics; time series; finance; economics; big data; complex systems; biosystems; fractals
(This special issue belongs to the Section Complexity)
Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application
edited by
submission deadline 31 Oct 2024 | 4 articles | Viewed by 4269 | Submission Open
Keywords: existence and positivity of solutions; uniqueness and multiplicity of solutions; stability and equilibrium; fixed point methods and applications; modeling with FDEs; numerical solutions; neural networks and FDEs; eigenvalue problems; fractional q-differential equations
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Diffusion, Multistability and Control in Complex Systems
edited by Mingshu Peng
submission deadline 31 Oct 2024 | 3 articles | Viewed by 2879 | Submission Open
Keywords: turing instability; multistability; bifurcation; chaos; fractal differential equations; complexity; mathematical modelling; control; critical point theory; boundary value problem; stability; delay; diffusion; pattern formation; spatio-temporal behavior; related practical problem
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal Systems and Associated Properties as Well as Integrable Systems
edited by
submission deadline 31 Oct 2024 | 2 articles | Viewed by 2453 | Submission Open
Fractional Fourier Transform and Its Applications in Signal Analysis
edited by Yuan-Min Li and Deyun Wei
submission deadline 31 Oct 2024 | 1 articles | Viewed by 1904 | Submission Open
Keywords: fractional Fourier transform; linear canonical transform; sparse fractional Fourier transform; graph fractional Fourier transform; fast Fourier transform; sampling theory; convolution and filtering; digital signal processing
Fractional Differential Equations: Advanced Results for Cases with Singularities
edited by Suzana Aleksić, Sladjana Dimitrijević and Tatjana Tomović Mladenović
submission deadline 31 Oct 2024 | 1 articles | Viewed by 1012 | Submission Open
Keywords: fractional differential equations; caputo fractional derivative; caputo fractional integral; riemann– liouville fractional derivative; singular mixed problem; singular; initial value problems; boundary value problems; positive solution; existence and nonexistence; uniqueness and multiplicity; stability; regularization; numerical computations; fixed point theory on cones
(This special issue belongs to the Section General Mathematics, Analysis)
Analysis and Modeling of Fractional-Order Dynamical Networks
edited by Wang Fei and
submission deadline 31 Oct 2024 | Viewed by 111 | Submission Open
Keywords: fractional-order systems; neural networks; gene regulatory networks; dynamical networks; multi-agent systems; coupled systems; synchronization control; heterogeneous networks; analysis of dynamic behavior
(This special issue belongs to the Section Complexity)
Advances in Fractional Dynamical and Control Problems with Nonlocal Operators
edited by Arman Dabiri and
submission deadline 25 Nov 2024 | 1 articles | Viewed by 1078 | Submission Open
Keywords: time-delay systems; control theory for continuum systems; fractional-order systems; fractals and chaos; Volterra integro-differential systems; stochastic systems; diffusion and random walk processes; non-Markov processes; computational methods for nonlocal operators
(This special issue belongs to the Section General Mathematics, Analysis)
Application of Fractal Processes and Fractional Derivatives in Finance, 2nd Edition
edited by
submission deadline 25 Nov 2024 | 1 articles | Viewed by 847 | Submission Open
Keywords: rough volatility model; fractal processes applied in finance and other fields; fractional differential equations; fractional diffusions; fractional calculus; transform methods applied in fractional differential equations; numerical methods for fractional partial differential equations; fractional operators
(This special issue belongs to the Section General Mathematics, Analysis)
Advances in Fractional Modeling and Computation submission deadline 30 Nov 2024 | 10 articles | Viewed by 11048 | Submission Open
Keywords: fractional models in natural sciences; fractional models in economics and engineering; numerical algorithms and discretization; fractional differential systems with control theory; fractional dynamical systems; analysis of fractional models; stochastic methods for fractional models; Monte Carlo methods; Markov chains and processes; stochastic modeling and simulation; related fractional models
(This special issue belongs to the Section Numerical and Computational Methods)
Nonlinear Fractional Differential Equation and Fixed-Point Theory
edited by and
submission deadline 30 Nov 2024 | 6 articles | Viewed by 6816 | Submission Open
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Processes and Systems in Computer Science and Engineering
edited by and
submission deadline 30 Nov 2024 | 2 articles | Viewed by 2590 | Submission Open
Keywords: fractional processes; fractional systems; fractal dimensions; fractal time series; long-range dependence; fractal paths; anomalous diffusion behavior; stochastic processes; fractional Brownian motion; fractional derivative; fractional Gaussian noise; fractional models
(This special issue belongs to the Section Engineering)
Applications of Fractional-Order Tools in Engineering Technology and Physical Processes submission deadline 30 Nov 2024 | 1 articles | Viewed by 1444 | Submission Open
Keywords: fractional calculus; robotic systems; fractional neural networks; fractional fuzzy logics; synchronization of fractional systems; fractional PID; fractional sliding mode control
(This special issue belongs to the Section Engineering)
Advances in Fractional Differential Operators and Their Applications, 2nd Edition submission deadline 30 Nov 2024 | 1 articles | Viewed by 1258 | Submission Open
Keywords: generalized derivatives; riemann– liouville; caputo derivatives; spectral theory; asymptotic theory; qualitative theory; variational theorems; applications
(This special issue belongs to the Section Numerical and Computational Methods)
Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs
edited by , Jizhen Zhang and Quanzhong Guan
submission deadline 30 Nov 2024 | 1 articles | Viewed by 1089 | Submission Open
Keywords: pore structure; pore heterogeneity; complexity; fractal characteristics; microstructures; fractal cracks
(This special issue belongs to the Section Complexity)
Contemporary Methods of Fractional Order Differential and Differential-Operator Equations submission deadline 30 Nov 2024 | Viewed by 206 | Submission Open
Keywords: fractional-order PDEs; fractional-order differential operator equations; fractional-order SDEs; fractional fokker– planck equation; fractional-order systems; inverse problems for fractional-order equations; stability of fractional-order systems; applied fractional-order equations; applied fractional-order systems; determination of order(s); determination of coefficients; solution spaces; representation of solution; fundamental solution; mittag– leffler- and wright-type functions; matrix-valued mittag– leffler and Wright functions
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application, 2nd Edition
edited by and Xiuying Li
submission deadline 30 Nov 2024 | Viewed by 62 | Submission Open
Keywords: fractional diffusion equations; fractional oscillating differential equations; nonsmoth functions; singular integral equations; fractional order system identification; modeling; application
(This special issue belongs to the Section Numerical and Computational Methods)
Design, Optimization and Applications for Fractional Chaotic System submission deadline 15 Dec 2024 | 2 articles | Viewed by 3949 | Submission Open
Keywords: applications of chaotic systems and circuits; chaos; fractional-order circuits; fractional-order systems; fractional-order models; fractional-order mem-elements; hyperchaos; optimization; synchronization
(This special issue belongs to the Section Engineering)
Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation submission deadline 20 Dec 2024 | 2 articles | Viewed by 2752 | Submission Open
Keywords: autoregressive-moving average (ARMA); shift-invariant; scale-invariant; fBm; Liouville; Liouville– Caputo; Hadamard; Riemann– Liouville; Dzherbashian– Caputo; Grunwald– Letnikov; two-sided Riesz– Feller derivatives
(This special issue belongs to the Section General Mathematics, Analysis)
Flow and Transport in Fractal Models of Rock Mechanics
edited by Kouqi Liu
submission deadline 25 Dec 2024 | 2 articles | Viewed by 2300 | Submission Open
Keywords: fractal models; rock mechanics; transport process; oil and gas industry; reservoir characterization; numerical solution
(This special issue belongs to the Section Engineering)
Fractional-Order Circuits, Systems, and Signal Processing, 2nd Edition submission deadline 25 Dec 2024 | 2 articles | Viewed by 1834 | Submission Open
Keywords: fractional-order analog filters; oscillators; PLLs; fractional-order filters for digital signal and image processing; fractional-order neural networks for signal processing; modeling of fractance behavior using active/passive elements; fabrication of fractance elements; fractional-order modeling of batteries; fractional-order control systems; fractional-order bioimpedance modeling
(This special issue belongs to the Section Engineering)
Fractional Calculus in Signal, Imaging Processing and Machine Learning
edited by
submission deadline 31 Dec 2024 | 9 articles | Viewed by 12691 | Submission Open
(This special issue belongs to the Section Engineering)
Recent Advances in Computational Physics with Fractional Application, 2nd Edition submission deadline 31 Dec 2024 | 7 articles | Viewed by 9133 | Submission Open
Keywords: stability analysis; integral equations; semi-analytical method; mathematical modeling; traveling wave solutions; analytical and numerical methods; soliton theory and its applications; fractional calculus and its applications; ordinary and partial differential equations; symmetry analysis and conservation laws; mathematical modeling of flow in porous media; high-order numerical differential formulas for fractional derivatives; numerical and computational methods in fractional differential equations
(This special issue belongs to the Section Mathematical Physics)
Back to TopTop