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.

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Advanced Modeling and Methods of Statistical Processing of Stochastic Signals in Fractional Dynamic Systems
edited by and Jacek Leśkow
submission deadline 14 Jun 2024 | 3 articles | Viewed by 3770 | Submission Open
Keywords: fractional stochastic processes; cyclostationary random processes; fractional-order signal processing; fractional and hybrid dynamic systems; signal statistical processing techniques; fractional-order machine learning techniques in signal processing; signal computer simulation techniques
(This special issue belongs to the Section Probability and Statistics)
Applications of Fractional-Order Calculus in Robotics submission deadline 15 Jun 2024 | 9 articles | Viewed by 15732 | Submission Open
Keywords: fractional calculus; fractional control; fractional modeling; robotics; manipulators fractal
(This special issue belongs to the Section Engineering)
Anomalous Diffusion and Relaxations in Liquid Crystals: Fractal and Fractional Behavior
edited by Rafael Soares Zola and
submission deadline 15 Jun 2024 | Viewed by 419 | Submission Open
Keywords: anomalous diffusion; non-Debye relaxation; modulated liquid crystal phases; coarsening dynamics; pattern formation; fractal and fractional calculus; anomalous scaling; memory effects
(This special issue belongs to the Section Complexity)
Fractal Theory and Models in Nonlinear Dynamics and Their Applications submission deadline 20 Jun 2024 | 6 articles | Viewed by 5780 | Submission Open
(This special issue belongs to the Section Mathematical Physics)
Stochastic and Fractional Differential Equations: Attractor, Invariant Measure and Their Relationship
edited by Dingshi Li and Chunmei Zhang
submission deadline 20 Jun 2024 | 2 articles | Viewed by 2451 | Submission Open
Keywords: random dynamical system; stochastic differential equation; fractional differential equation; random attractor; invariant measures; random fractional
(This special issue belongs to the Section Mathematical Physics)
Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition
edited by
submission deadline 21 Jun 2024 | 10 articles | Viewed by 10202 | Submission Open
Keywords: fractional differential equations; fractional differential inclusions; fractional differential inequalities; initial value problems; boundary value problems; existence; nonexistence; uniqueness; multiplicity; stability; numerical computations
(This special issue belongs to the Section General Mathematics, Analysis)
Feature Papers for Numerical and Computational Methods Section
edited by
submission deadline 25 Jun 2024 | 12 articles | Viewed by 14553 | Submission Open
Keywords: fractional calculus; numerical methods; approximation methods; computational procedures; algorithms; digital implementation; hardware in the loop implementation; FPGA implementation; data mining with fractional calculus methods; fractional calculus with artificial intelligence applications; image/signal analyses based on fractional calculus; fuzzy fractional calculus; neural computations with fractional calculus; applications of fractional calculus in nonlinear science; applications in Control; Mechanics; Financial Mathematics; Engineering; Biomedicine; etc
(This special issue belongs to the Section Numerical and Computational Methods)
Fractional Equations and Calculation Methods in Exploration Seismology
edited by and Zeyu Zhao
submission deadline 27 Jun 2024 | 3 articles | Viewed by 3762 | Submission Open
Keywords: fractional wave equation; fractional Laplacian; calculation of fractional equation; seismic modeling; imaging and inversion
(This special issue belongs to the Section Mathematical Physics)
Advances in Fractional Integral and Derivative Operators with Applications
edited by
submission deadline 30 Jun 2024 | 15 articles | Viewed by 17264 | Submission Open
Keywords: theoretical advances involving operators of fractional integrals and fractional derivatives; applications involving chaos and dynamical systems based upon fractional calculus; applications based upon fractional-order ordinary and partial differential equations; fractional-order differ-integral and integro-differential equations; fractional-order integrals and derivatives associated with higher transcendental functions including special functions of mathematical physics and applied mathematics; inequalities and identities involving integrals and derivatives of a fractional order
(This special issue belongs to the Section Numerical and Computational Methods)
Fractional Integral Inequalities and Applications, 2nd Edition submission deadline 30 Jun 2024 | 8 articles | Viewed by 8972 | Submission Open
Keywords: fractional integral inequalities; generalized convexity; numerical estimations; quantum calculus; multivariate analysis; means; operator theory; approximation theory
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Order Complex Systems: Advanced Control, Intelligent Estimation and Reinforcement Learning Image Processing​ Algorithms
edited by , , Driss Boutat and
submission deadline 30 Jun 2024 | 8 articles | Viewed by 8594 | Submission Open
Keywords: image processing; image fusion; image denoising; image enhancement; analysis and control of fractional systems; singular fractional systems; intelligent fractional ​control; high-performance control; non-asymptotic fractional state estimation; fractional numerical solution and simulation​
(This special issue belongs to the Section Engineering)
Advance on the Fractal and Fractional Calculus in Electrical and Electronic Engineering
edited by and
submission deadline 30 Jun 2024 | 4 articles | Viewed by 4946 | Submission Open
(This special issue belongs to the Section Engineering)
Fractional Models and Statistical Applications
edited by , Kostiantyn Ralchenko and Anton Yurchenko-Tytarenko
submission deadline 30 Jun 2024 | 4 articles | Viewed by 4085 | Submission Open
(This special issue belongs to the Section Probability and Statistics)
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
edited by , and
submission deadline 30 Jun 2024 | 4 articles | Viewed by 2474 | Submission Open
Keywords: numerical methods; mathematical modeling; fractional calculus; fractional differential equations; numerical analysis; fast algorithm
(This special issue belongs to the Section Numerical and Computational Methods)
Application of Fractional Calculus as an Interdisciplinary Modeling Framework, 2nd Edition submission deadline 30 Jun 2024 | 1 articles | Viewed by 1482 | Submission Open
Keywords: general fractional calculus; special functions; integral transforms; harmonic analysis; fractional variational calculus; ODEs; PDEs and integral equations and systems; wave equation; evolution equation; mathematical models of phenomena; fractional quantum fields; nonlinear control methods; fractional-order controllers; bio-medical applications; economic models with memory; numerical and approximation methods; computational procedures and algorithms
(This special issue belongs to the Section General Mathematics, Analysis)
Recent Advances in Fractional-Order Time Delay Systems
edited by and Zeyu Liu
submission deadline 30 Jun 2024 | 1 articles | Viewed by 1449 | Submission Open
Keywords: fractional-order systems; complex networks; neural networks; time delay; stability; synchronization
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal and Multifractal Analysis in Environmental, Medical and Technical Fields: Pattern Recognition, Analysis and Processing of Images submission deadline 30 Jun 2024 | Viewed by 425 | Submission Open
Keywords: fractal analysis; multifractal spectrum; lacunarity spectrum; pattern recognition; neural networks; mathematical morphology; machine learning; medical images; nature textures; surfaces; scanning probe microscopy (SPM); transmission electron microscopy (TEM); scanning electron microscopy (SEM)
(This special issue belongs to the Section Life Science, Biophysics)
Fractional Differential Equations: Computation and Modelling with Applications submission deadline 15 Jul 2024 | 8 articles | Viewed by 8969 | Submission Open
Keywords: fractional derivatives and integrals; fractional operators; fractal-fractional derivatives and integrals; mathematical modelling; computational efficient methods; uncertainty and artificial intelligence; nonsingular kernels
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Calculus and Nonlinear Analysis: Theory and Applications submission deadline 15 Jul 2024 | 4 articles | Viewed by 4735 | Submission Open
Keywords: fractional differential equation; fractional complicated system; fractional operator; modeling biological phenomena; nonlinear dynamics and chaos; fixed point theory; optimization; critical point theory; optimization; convex analysis
(This special issue belongs to the Section General Mathematics, Analysis)
Women’s Special Issue Series: Fractal and Fractional, 2nd Edition submission deadline 15 Jul 2024 | 2 articles | Viewed by 2326 | Submission Open
Keywords: fractals and fractional calculus; fractals and fractional calculus in computing; fractals and fractional calculus in mathematical physics; fractals and fractional calculus in biology and neurocomputing; fractals and fractional calculus in engineering; fractals and fractional calculus in economics; fratals and fractional calculus in educational technologies; fractional calculus and control; fractional calculus and optimization; fractional calculus and stability; fractional models and uncertainty; related fractional modeling
(This special issue belongs to the Section Complexity)
New Insights into Random Walks and Diffusion Equations
edited by Marco Antonio Alves Da Silva, José Carlos Cressoni and
submission deadline 18 Jul 2024 | Viewed by 121 | Submission Open
Keywords: continuous-time random walks; discrete-time random walks; diffusion equations; fractional diffusion equations; anomalous diffusion; computer simulation; markovian processes; non-markovian processes
(This special issue belongs to the Section Probability and Statistics)
Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics
edited by
submission deadline 25 Jul 2024 | 12 articles | Viewed by 15514 | Submission Open
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
(This special issue belongs to the Section Mathematical Physics)
Caputo Fractional Difference Equations and Its Applications submission deadline 30 Jul 2024 | Viewed by 277 | Submission Open
Keywords: caputo fractional difference equations; mathematical modeling; stability analysis; numerical methods
(This special issue belongs to the Section General Mathematics, Analysis)
Recent Advances in Fractional-Order Neural Networks: Theory and Application
edited by and Lulu Lu
submission deadline 31 Jul 2024 | 10 articles | Viewed by 28032 | Submission Open
Keywords: fractional calculus; dynamics analysis; biological nervous system; circuit design and simulation; artificial intelligence
(This special issue belongs to the Section General Mathematics, Analysis)
Advances in Fractal Antennas: Design, Modeling and Applications submission deadline 31 Jul 2024 | 7 articles | Viewed by 10808 | Submission Open
Keywords: fractal shaped antennas; antenna design; antenna enhancement techniques; integrated communication systems; multifrequency antennas
(This special issue belongs to the Section Engineering)
Application of Fractals in Complex Networks of Engineering and Medicine
edited by and
submission deadline 31 Jul 2024 | 4 articles | Viewed by 7509 | Submission Open
Keywords: fractals; complex networks; data mining; complex systems; chaos; engineering; medicine
(This special issue belongs to the Section Engineering)
Recent Advances in the Spatial and Temporal Discretizations of Fractional PDEs
edited by , Hongbin Chen, Shulin Wu and
submission deadline 31 Jul 2024 | 6 articles | Viewed by 6911 | Submission Open
Keywords: fractional PDEs; finite difference; finite element; finite volume; spectral methods; nonuniform and adaptive discretizations; adaptive space-time methods; parallel-in-time methods; numerical methods; numerical treatments of integro-differential equations; nonlocal modeling and computation; convolution quadrature; modeling and simulations
(This special issue belongs to the Section Numerical and Computational Methods)
Recent Developments and Applications of Fractional Differential Equations in Mathematical Physics
edited by , and Emad Zahran
submission deadline 31 Jul 2024 | 3 articles | Viewed by 4412 | Submission Open
Keywords: fractional calculus; fractional order derivatives; fractional dynamical systems; exact solutions; numerical analysis; soliton theory; traveling wave solutions; analytical methods; numerical methods; mathematical modeling
(This special issue belongs to the Section Mathematical Physics)
Synchronization and Adaptive Control for Fractional-Order Network Systems
edited by Jinliang Wang, Min Li and Zipeng Wang
submission deadline 31 Jul 2024 | 3 articles | Viewed by 4047 | Submission Open
Keywords: fractional-order neural networks; fractional-order reaction-diffusion neural networks; fractional-order multiagent systems; fractional-order complex networks; stability; synchronization; consensus; formation control
(This special issue belongs to the Section Complexity)
Robust and Adaptive Control of Fractional-Order Systems, 2nd Edition
edited by and
submission deadline 31 Jul 2024 | 2 articles | Viewed by 2147 | Submission Open
Keywords: fractional-order system; stability analysis; adaptive control; robust control; fractional calculus
(This special issue belongs to the Section Engineering)
Fractional Order Controllers: Design and Applications, 2nd Edition submission deadline 31 Jul 2024 | 1 articles | Viewed by 832 | Submission Open
Keywords: fractional order PID controller; fractional calculus; fractional order control; robust fractional control; fractional order applications
(This special issue belongs to the Section Engineering)
Applications of Fractional-Order Systems to Automatic Control submission deadline 15 Aug 2024 | 6 articles | Viewed by 6897 | Submission Open
Keywords: unmanned vehicles; renewable energy; electric power; manufacturing; robotics; automotive control systems; time-delay systems; modeling and control of complex systems
(This special issue belongs to the Section Engineering)
Theoretical Analysis and Numerical Simulation for Fractional Dynamics and Fractional Calculus
edited by Wei Li, Guidong Yang and Dongmei Huang
submission deadline 15 Aug 2024 | Viewed by 235 | Submission Open
Keywords: fractional calculus; fractional integration; fractional derivative; dynamical systems; stabilization; system response; fractional-order system control.
(This special issue belongs to the Section Numerical and Computational Methods)
Nonlinear Equations Driven by Fractional Laplacian Operators
edited by and Leandro Tavares
submission deadline 15 Aug 2024 | Viewed by 210 | Submission Open
Keywords: fractional equations; critical point theory; monotonic arguments; topological methods; fixed point; Ψ – Hilfer fractional derivative; existence and uniqueness; continuous dependence of solutions; successive approximations; Mittag– Leffler function; generalized Mittag– Leffler function
(This special issue belongs to the Section General Mathematics, Analysis)
General Fractional Calculus: Theory, Methods and Applications in Mathematical Physics
edited by Yi-Ying Feng and
submission deadline 16 Aug 2024 | 5 articles | Viewed by 5710 | Submission Open
Keywords: general fractional calculus theory; general fractional calculus method; general fractional calculus applications; fractional viscoelasticity; fractional dynamical systems; fractional calculus in anomalous diffusion; fractional operator theory and theoretical analysis; new definitions and properties of general fractional calculus; memory and heritability of general fractional calculus
(This special issue belongs to the Section Mathematical Physics)
Advanced Research in Fractal Properties of Nanoparticle and Its Application
edited by and Aleksandar P. Stajčić
submission deadline 18 Aug 2024 | 1 articles | Viewed by 499 | Submission Open
Keywords: fractal dimension; surface– property relation; nanoparticles and composites; surface– synthesis/dispersion relation; grain boundary
(This special issue belongs to the Section Mathematical Physics)
Applications of Finite Element Methods for Solving Fractional Partial Differential Equations
edited by Meng Li, Yanmin Zhao and
submission deadline 20 Aug 2024 | 1 articles | Viewed by 1294 | Submission Open
Keywords: finite element methods; fractional models; finite difference methods; virtual element methods; spectral methods; structure-preserving algorithms
(This special issue belongs to the Section General Mathematics, Analysis)
Advances in Fractional-Order Multiagent Systems: Theory and Applications
edited by Ping Gong
submission deadline 25 Aug 2024 | 7 articles | Viewed by 7387 | 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 | 2 articles | Viewed by 733 | 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 6184 | 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 3518 | 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 , , Xin Li, Bin Wang and Yang Zhou
submission deadline 31 Aug 2024 | 3 articles | Viewed by 3307 | 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 | 2 articles | Viewed by 1655 | 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 8154 | 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 257 | 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 5483 | 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 172 | 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 | 3 articles | Viewed by 2443 | 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 6664 | 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 7218 | 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)
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