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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New Trends on Generalized Fractional Calculus submission deadline 15 May 2024 | 8 articles | Viewed by 9853
Keywords: generalised fractional calculus; fractional calculus with general analytic kernels; ψ -fractional derivatives; weighted fractional derivatives; integral transforms; special functions; fractional inequalities; fractional ODE and PDE; initial and Boundary value problems
(This special issue belongs to the Section Numerical and Computational Methods)
Application of Anomalous Diffusion Modeling Based on Fractal and Fractional Derivatives
edited by , Jianxiong Cao, and
submission deadline 15 May 2024 | 3 articles | Viewed by 3198
Keywords: anomalous diffusion process; non-ergodic fractional dynamical systems; nonlocal and fractional models; fractional biology model; non-Gaussian noises; fractional stochastic differential equations; integral equations; finite difference methods; finite element methods; mathematical models for COVID-19; spectral methods; fractional lie symmetry; local fractional derivative
(This special issue belongs to the Section Numerical and Computational Methods)
Observability and Observer Design of Fractional-Order Nonlinear Systems submission deadline 15 May 2024 | 1 articles | Viewed by 1637
Keywords: nonlinear observers; fractional differential equations; generalized calculus; observer theory; fault detection; synchronization; observer-based controllers
(This special issue belongs to the Section Mathematical Physics)
q-Fractional Calculus/Differential Equations and Related Applications submission deadline 15 May 2024 | Viewed by 207
Keywords: foundations of fractional analysis; fractional-order derivatives and integrals; fractional transforms; special functions; quantum calculus; linear and nonlinear fractional analysis; q-fractional differential equations; fractional differential equations; fractional partial differential equations; fractional continuous models; dynamical systems based on fractional calculus; fractional analysis applications; numerical analysis
(This special issue belongs to the Section General Mathematics, Analysis)
Advances in Fractional Order Systems and Robust Control, 2nd Edition
edited by
submission deadline 21 May 2024 | 1 articles | Viewed by 661 | Submission Open
Keywords: fractional order systems; fractional differential equations; robust control; fractional controllers; stability analysis; modeling
(This special issue belongs to the Section Engineering)
Analysis of Heat Conduction and Anomalous Diffusion in Fractional Calculus submission deadline 30 May 2024 | Viewed by 204 | Submission Open
Keywords: fractional calculus and fractal media; thermo-molecular physics; thermodynamics; heat and mass transfer; bio-heat transfer; fractional thermal conduction; anomalous thermal diffusion; nonequilibrium processes; nonequilibrium thermodynamics; kinetics theory
(This special issue belongs to the Section Mathematical Physics)
Fractional Gravity/Cosmology in Classical and Quantum Regimes submission deadline 31 May 2024 | 4 articles | Viewed by 6636 | Submission Open
Keywords: fractional calculus; fractional derivatives; Riesz fractional operator; Caputo fractional operator; fractional Brownian motion; Lé vy path integrals; fractional action-like variational approach; fractional quantum mechanics; fractional classical cosmology; fractional quantum cosmology; non-local operators
(This special issue belongs to the Section Mathematical Physics)
Fractal and Fractional Analysis in Biomedical Sciences and Engineering submission deadline 31 May 2024 | 5 articles | Viewed by 6078 | Submission Open
Keywords: fractal and multifractal analysis; fractal lacunarity analysis; fractional calculus; fractional differential equations; convergence and stability analysis; biological system complexity; non-linear biosystem dynamics; medical image and data analysis; neural networks and graphs; long-term correlation tracking
(This special issue belongs to the Section Life Science, Biophysics)
Optimal Control Problems for Fractional Differential Equations
edited by
submission deadline 31 May 2024 | 4 articles | Viewed by 4461 | Submission Open
Keywords: fractional differential equations; optimal control; fractional differential inequalities; time fractional and space fractional derivatives; generalized fractional derivatives; optimal control on bounded and unbounded domain; optimal control on network; Rieman-Liouville fractional derivative; Caputo fractional derivative; generalized fractional derivative; fractional Laplace operator; optimality systems; linear fractional differential equations; nonlinear fractional differential equations
(This special issue belongs to the Section Engineering)
Recent Advances in Fractional Differential Equations and Their Applications, 2nd Edition
edited by , and Ting Gao
submission deadline 31 May 2024 | 4 articles | Viewed by 4240 | Submission Open
Keywords: nonlocal differential equation; fractional differential equation; stochastic differential equation; numerical method; machine learning methods
(This special issue belongs to the Section Numerical and Computational Methods)
Fractional Evolutionary Equations and Modeling of Dissipative Processes, 2nd Edition submission deadline 31 May 2024 | 3 articles | Viewed by 3495 | Submission Open
Keywords: diffusion wave equations; direct and backward problems; problems without initial conditions; mathematical modeling of microseisms; Sel’ kov fractional dynamical system; distributed order fractional diffusion; memory density; Hurst exponents; fractional Riccati equation; variable order fractional derivatives; regular and chaotic regimes; Dubovsky's fractional dynamic system.
(This special issue belongs to the Section Mathematical Physics)
Spectral Methods for Fractional Functional Models submission deadline 31 May 2024 | 3 articles | Viewed by 2878 | Submission Open
Keywords: spectral methods for fractional partial differential equations; spectral methods for fractional integral equations; spectral methods for integro-differential equations involving fractional operators; spectral methods for systems of fractional differential equations
(This special issue belongs to the Section Mathematical Physics)
Inverse Problems for Fractional Differential Equations submission deadline 31 May 2024 | 2 articles | Viewed by 2161 | Submission Open
Keywords: inverse problems; fractional differential equations; fractional derivatives; non-integer derivatives; fractional models; chaotic systems; time-fractional diffusion; spatial-fractional diffusion; non-linear fractional differential equations; pseudo-differential equations; fractional reactions
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal and Multifractal Analysis in Econometric Models and Empirical Finance
edited by
submission deadline 31 May 2024 | 1 articles | Viewed by 1464 | Submission Open
Keywords: multifractal analysis; hurst exponent; multiscale analysis; financial market efficiency; empirical finance
(This special issue belongs to the Section Mathematical Physics)
Electric Drive Control Using Fractal and Fractional Calculus
edited by , and Cosmin Ionete
submission deadline 31 May 2024 | Viewed by 254 | Submission Open
Keywords: fractional-order system; fractals; electric drive control; energy storage system; power electronic converters; stability analysis; fractional calculus
(This special issue belongs to the Section Engineering)
New Insights and Trends in Fractional-Order Dynamical Networks, Their Control and Synchronization submission deadline 31 May 2024 | Viewed by 120 | Submission Open
Keywords: fractional networks; control of fractional systems and networks; synchronization of fractional networks and systems; dynamic evolution of connections in fractional networks
(This special issue belongs to the Section General Mathematics, Analysis)
Recent Advances in Adaptive Fractional Sliding Mode Control
edited by Mehran Rahmani
submission deadline 1 Jun 2024 | 1 articles | Viewed by 1519 | Submission Open
Keywords: sliding mode control; fractional calculus; robustness; chattering phenomena
(This special issue belongs to the Section Engineering)
Applications of Fractal Analysis in Underground Engineering
edited by , Lei Zhang, , , Defu Zhu and Kaijun Miao
submission deadline 12 Jun 2024 | 5 articles | Viewed by 6187 | Submission Open
(This special issue belongs to the Section Engineering)
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 3514 | 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 14877 | 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 401 | 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 5495 | 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 2322 | 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 | 9 articles | Viewed by 9249 | 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 13928 | 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 3603 | 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 16469 | 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 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 7887 | 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)
Fractional Integral Inequalities and Applications, 2nd Edition submission deadline 30 Jun 2024 | 6 articles | Viewed by 7223 | 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)
Advance on the Fractal and Fractional Calculus in Electrical and Electronic Engineering
edited by and
submission deadline 30 Jun 2024 | 4 articles | Viewed by 4567 | 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 3631 | Submission Open
(This special issue belongs to the Section Probability and Statistics)
Application of Fractional Calculus as an Interdisciplinary Modeling Framework, 2nd Edition submission deadline 30 Jun 2024 | 1 articles | Viewed by 1387 | 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 1379 | Submission Open
Keywords: fractional-order systems; complex networks; neural networks; time delay; stability; synchronization
(This special issue belongs to the Section General Mathematics, Analysis)
Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
edited by , and
submission deadline 30 Jun 2024 | 1 articles | Viewed by 1313 | 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)
Fractal and Multifractal Analysis in Environmental, Medical and Technical Fields: Pattern Recognition, Analysis and Processing of Images submission deadline 30 Jun 2024 | Viewed by 392 | 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 8555 | 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 4259 | 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 1935 | 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 113 | 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 14545 | 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 254 | 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 26723 | 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 9963 | 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 7151 | 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 6665 | 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 4188 | 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 3737 | 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 2013 | 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 | Viewed by 304 | 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 6382 | 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)
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