Special Issues

Fractal and Fractional runs special issues to create collections of papers on specific topics. The aim is to build 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 in the subject and oversee the editorial process for papers. Papers published in a Special Issue will be collected together on a dedicated page of the journal website. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Women’s Special Issue Series: Fractal and Fractional
edited by Ivanka Stamova, and
submission deadline 30 Sep 2022 | 6 articles | Viewed by 3808
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; Fractals 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)
Nonlinear Dynamics in Complex Systems via Fractals and Fractional Calculus
edited by
submission deadline 30 Sep 2022 | 8 articles | Viewed by 4363
Keywords: chaotic systems; fractal systems; fractal-type field theory; fractal analysis; fractional calculus; fractional-order derivatives algorithms; fractional derivatives neural networks; image processing; fractional diffusion; nonlinear dynamics; time series method; diffusion process; control theory; mathematical modeling
(This special issue belongs to the Section Complexity)
Advances in Boundary Value Problems for Fractional Differential Equations
edited by
submission deadline 30 Sep 2022 | 13 articles | Viewed by 8238
Keywords: fractional differential equations; fractional differential inclusions; fractional differential inequalities; boundary value problems; existence; nonexistence; uniqueness; multiplicity; stability
(This special issue belongs to the Section General Mathematics, Analysis)
Operators of Fractional Calculus and Their Multi-Disciplinary Applications submission deadline 30 Sep 2022 | 18 articles | Viewed by 17244
Keywords: operators of fractional integrals and fractional derivatives and their applications; chaos and dynamical systems based upon fractional calculus; fractional-order ODEs and PDEs; fractional-order differintegral and integro-differential equations; integrals and derivatives of fractional order associated with special functions of mathematical physics and applied mathematics; identities and inequalities involving fractional-order integrals and fractional-order derivatives
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal Analysis and Fractal Dimension in Materials Chemistry
edited by Gianina Dobrescu, Florica Papa and Razvan State
submission deadline 30 Sep 2022 | 2 articles | Viewed by 918
Keywords: fractal dimension; fractal adsorption isotherms; catalysis; diffusion-limited reactions; fractons
(This special issue belongs to the Section Mathematical Physics)
Fractional Processes and Multidisciplinary Applications
edited by and
submission deadline 30 Sep 2022 | 4 articles | Viewed by 1812
Keywords: fractional brownian motion; multifractional brownian motion; sub-fractional brownian motions; Bi-fractional brownian motions; rough volatility; fractional option prices; fractional models
(This special issue belongs to the Section Probability and Statistics)
Theories and Applications of Fractional Order Bio-Mathematics in Medicine and Biology submission deadline 30 Sep 2022 | 3 articles | Viewed by 1685
Keywords: fractional-order models; integer order models; bio-mathematical models; models of HIV infection; models of malaria infection; models of COVID-19 infection; models of diabetes; models of smoking habits; models of tuberculosis; models of alcohol consumption; fuzzy models; stability analysis; convergence and error analysis; data analysis; machine learning
(This special issue belongs to the Section Life Science, Biophysics)
Fractional Order Viral Epidemic Models and Their Applications
edited by and
submission deadline 5 Oct 2022 | 1 articles | Viewed by 1121
Keywords: fractional calculus; fractional-order epidemic models; caputo fractional derivative; stability analysis; rumor diffusion model; computer virus epidemic model; network modeling
(This special issue belongs to the Section Life Science, Biophysics)
Advances in Multiparticle Fractal Aggregation submission deadline 10 Oct 2022 | 1 articles | Viewed by 526
Keywords: fractal clusters; multiparticle aggregation; modeling fractal aggregates; fractional surfaces; fractal analyses; scale-invariant structure; powders; suspensions; nanocomposites; polymer systems; small-angle scattering; microscopy methods; molecular dynamics; Monte Carlo simulation; population balance equations
(This special issue belongs to the Section Mathematical Physics)
Recent Advances in Multi-Fractal Analysis of Images
edited by
submission deadline 15 Oct 2022 | Viewed by 497
Keywords: fractal dimension; multifractal analysis; image compression/encoding; image denoising; image segment; image forensics; image steganography; fractal image generation; evaluation of fractal images
(This special issue belongs to the Section Engineering)
Fractional-Order Control: Design, Stability Analysis, and Implementation
edited by
submission deadline 20 Oct 2022 | Viewed by 261
Keywords: fractional-order control; fractional calculus; modelling; stability analysis; control design; simulation; realization
(This special issue belongs to the Section Engineering)
Fractals in the Neurosciences: From Self-Similar Structures to Scale-Free Dynamics
edited by , and Alexander J Bies
submission deadline 21 Oct 2022 | 2 articles | Viewed by 2093
Keywords: bioinformatics; complex networks; criticality; fractals; fractal dynamics; long-range correlations; self-organization; self-similarity
(This special issue belongs to the Section Complexity)
Fractional Differential Equations: Stability Analysis and Applications
edited by Oana Brandibur and
submission deadline 30 Oct 2022 | 3 articles | Viewed by 1592
Keywords: fractional differential equations; fractional-order systems; stability analysis; fractional-order derivative; solutions of fractional differential equations; numerical methods
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal and Multifractal Analysis in Financial Markets
edited by
submission deadline 31 Oct 2022 | 1 articles | Viewed by 2545
Keywords: Fractional Brownian motion; Fractal dimension of financial networks; Multifractal detrended fluctuation analysis/moving average; Multifractal (partial) cross-correlation; Multifractal volatility; Market efficiency; Applications of multifractal processes in finance
(This special issue belongs to the Section General Mathematics, Analysis)
The Materials Structure and Fractal Nature submission deadline 31 Oct 2022 | 6 articles | Viewed by 4482
Keywords: Fractal; Fractal reconstruction; Chaos; Hausdorff dimension; Fractalization; Fractional
(This special issue belongs to the Section Engineering)
Interplay between Fractional Differential Equations and Stochastic Processes
edited by Costantino Ricciuti
submission deadline 31 Oct 2022 | 2 articles | Viewed by 1592
Keywords: fractional differential equations; fractional derivatives and integrals; fractional laplacian; fractional poisson processes; levy processes and subordinators; semi-markov processes; anomalous diffusion
(This special issue belongs to the Section Probability and Statistics)
Recent Advances in Computational Physics with Fractional Application
edited by , , Mehmet Senol and
submission deadline 31 Oct 2022 | 27 articles | Viewed by 20021
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 the fractional derivatives; numerical and computational methods in fractional differential equations
(This special issue belongs to the Section Mathematical Physics)
Dynamical Systems and Their Applications (DSTA) — in Memory of Prof. Dr. José A. Tenreiro Machado
edited by Alexandra M.S.F. Galhano, and
submission deadline 31 Oct 2022 | 6 articles | Viewed by 4057
Keywords: complex systems; linear and nonlinear dynamics; advanced control theory; fractional calculus; fractals; entropy; information theory
(This special issue belongs to the Section Engineering)
Signal and Image Processing with Fractional Differential Equations submission deadline 1 Nov 2022 | Viewed by 150
Keywords: numerical methods and computation; numerical analysis for nonsmooth data; image and signal processing; fractional; partial and ordinary differential equations; fractional order modeling for data-driven problems.
(This special issue belongs to the Section Engineering)
Fractional Order Control Techniques for Robots
edited by , Blas M. Vinagre and
submission deadline 1 Nov 2022 | Viewed by 346
Keywords: fractional-order; modeling; control; robotics
(This special issue belongs to the Section Engineering)
Stochastic Modeling in Biological System
edited by Mario Abundo
submission deadline 15 Nov 2022 | 3 articles | Viewed by 1492
Keywords: neuronal models; jump-diffusion processes; first-passage-time problems; Markov and semi-Markov processes; time-changed processes; Markov chains; fractional processes; fractional Brownian motion
(This special issue belongs to the Section Probability and Statistics)
From Fractal Geometry to Visual Intelligence in Architecture submission deadline 15 Nov 2022 | Viewed by 164
Keywords: visual complexity; fractal-like architecture; fractal analysis methods; gestalt; fractal-based design; fractal-based applications
(This special issue belongs to the Section Geometry)
New Trends on Fixed Point Theory submission deadline 15 Nov 2022 | 6 articles | Viewed by 3974
Keywords: existence and uniqueness of fixed points; fractional differential inclusions; fractional differential equations; fractional boundary value problems; fractional operators with applications; generalized metric space; iteration processes for fixed points or best proximity points; best approximation problems; variational inequalities; equilibrium problems; KKM mapping
(This special issue belongs to the Section General Mathematics, Analysis)
New Trends in Fractional Stochastic Processes submission deadline 20 Nov 2022 | 2 articles | Viewed by 3021
(This special issue belongs to the Section Probability and Statistics)
Advances in Fractional Order Systems and Robust Control
edited by Feng Liu
submission deadline 20 Nov 2022 | 2 articles | Viewed by 817
Keywords: fractional order systems; fractional differential/difference equations; robust control; fractional controllers; stability analysis; modeling
(This special issue belongs to the Section Engineering)
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application
edited by Boying Wu and Xiuying Li
submission deadline 20 Nov 2022 | 3 articles | Viewed by 845
Keywords: fractional diffusion equations; fractional oscillating differential equations; nonsmooth functions; singular integral equations; fractional-order system identification; modeling; application
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Operators and Their Applications
edited by Adriana Catas and
submission deadline 30 Nov 2022 | 7 articles | Viewed by 2879
Keywords: geometric function theory outcomes related to fractional operators; differential subordination and superordination results involving fractional operators; fractional operators associated with special functions; fractional operators involving quantum calculus; operators of fractional integrals and fractional derivatives and their applications; inequalities and identities associated with fractional-order integrals or fractional-order derivatives; related fractional-order ODEs and PDEs; fractional operators in mathematical physics; fractional operators in engineering and optimization; fractional operators in educational technologies
(This special issue belongs to the Section General Mathematics, Analysis)
Variable-Order Fractional Problems: Modeling, Analysis, Approximation and Application
edited by , , Hong Wang and Yong Zhang
submission deadline 30 Nov 2022 | 4 articles | Viewed by 2722
Keywords: variable-order; fractional calculus; fractional differential equation; modeling and application; approximation method; mathematical analysis; numerical analysis; numerical simulation
(This special issue belongs to the Section General Mathematics, Analysis)
Finite Difference Methods for Fractional and Stochastic Differential Equations
edited by
submission deadline 30 Nov 2022 | 2 articles | Viewed by 665
Keywords: fractional differential equations; stochastic differential equations; analysis; numerical methods; applications
(This special issue belongs to the Section General Mathematics, Analysis)
Fractal Approaches in Materials: Structure and Mechanics submission deadline 1 Dec 2022 | 1 articles | Viewed by 890
Keywords: structure analysis (micro/macro); fractal approach; fractional calculus; fractional differential equations; delay differential equations; different fractional transformation and operators; dynamical systems; pattern formation; stability analysis; bifurcation theory; analytical/numerical techniques for fractional differential equations
(This special issue belongs to the Section Engineering)
Application of Fractional Calculus as an Interdisciplinary Modeling Framework
edited by Antonela Toma, Dorota Mozyrska, , and
submission deadline 1 Dec 2022 | 6 articles | Viewed by 4077
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)
Advances in Fractional-Order PID Controllers
edited by
submission deadline 12 Dec 2022 | 1 articles | Viewed by 506
Keywords: fractional-order PID controller; fuzzy PID controller; neural PID controller; fractional-order control; stability analysis; optimization; neural networks
(This special issue belongs to the Section Engineering)
Initial and Boundary Value Problems for Differential Equations submission deadline 15 Dec 2022 | 8 articles | Viewed by 4225
Keywords: qualitative properties of the solutions (positivity; oscillation; asymptotic behavior; stability; etc.); topological methods in differential equations and inclusions; approximation of the solutions; eigenvalue problems; variational methods; fixed point theory; critical point theory; applications to real-world phenomena
(This special issue belongs to the Section General Mathematics, Analysis)
Fractals in Acoustics submission deadline 20 Dec 2022 | 1 articles | Viewed by 610
Keywords: fractals; acoustics; ultrasonics; fractal diffusers; fractal geometry; fractal-based applications
(This special issue belongs to the Section Mathematical Physics)
Fractional Order Systems: Deterministic and Stochastic Analysis II
edited by Amar Debbouche
submission deadline 31 Dec 2022 | 1 articles | Viewed by 990
(This special issue belongs to the Section Probability and Statistics)
Fractional Differential Equations in Anomalous Diffusion
edited by , Yonghong Wu, Chuanjun Chen, Jiwei Zhang and
submission deadline 31 Dec 2022 | 3 articles | Viewed by 1939
Keywords: fractal or the fractional derivative; initial and boundary value problems; fractional differential equations; anomalous diffusion; fractional network; numerical analysis and algorithm
(This special issue belongs to the Section General Mathematics, Analysis)
Advances in Optimization and Nonlinear Analysis Volume II
edited by
submission deadline 31 Dec 2022 | 3 articles | Viewed by 990
Keywords: fractional calculus; well-posedness; optimization problems; control problems; variational and nonlinear problems; equilibrium problems; partial differential equations; partial differential inequations; isoperimetric constraints; variational inequalities; interval-valued problems
(This special issue belongs to the Section Engineering)
New Insights into Nonlinear Coupled Differential Equations with Its Applications
edited by Nallappan Gunasekaran, , and Sandra Pinelas
submission deadline 31 Dec 2022 | 4 articles | Viewed by 1532
Keywords: fractional calculus and applications numerical methods for nonlinear problems; functional analysis; fixed point theory; stability theory in fractional-order systems; continuous and discrete dynamical systems; stability analysis with time varying delay; nonlinear differential equation models in physics; biology; chemistry; engineering; etc.; mathematical models for nonlinear problems for engineering for both ODE and PDE
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Order Modeling in Interdisciplinary Applications submission deadline 31 Dec 2022 | Viewed by 114
Keywords: fractional-order models; biological systems; electrical systems; fractional-order controllers; fractional-order identification; model reference adaptive control; traffic systems; robotic systems; fractional-order nonlinear systems; robust systems; fractional order in state-space theory; automotive systems; MIMO systems; fractional order in digital control; servo systems; fuzzy fractional order
(This special issue belongs to the Section Engineering)
Multifractals, Turbulence and Complexity in Geoscience and Space Science
edited by , Davide Faranda and
submission deadline 31 Dec 2022 | Viewed by 184
Keywords: fractals and multifractals; complexity and turbulence; extreme events; out-of-equilibrium processes; self-organization and criticality; multiplicative cascades and random multifractals; geoscience; space physics
(This special issue belongs to the Section Complexity)
Fractional Diffusion Equation: Variations and Applications
edited by Denis N. Gerasimov and
submission deadline 31 Dec 2022 | Viewed by 104
Keywords: fractional wave-diffusion equation; fractional derivatives; anomalous diffusion
(This special issue belongs to the Section Mathematical Physics)
Stochastic Calculus for Fractional Models and Interdisciplinary Applications
edited by , Marcin Magdziarz and Saeed Vahdati
submission deadline 31 Dec 2022 | Viewed by 207
Keywords: mathematical finance; stochastic calculus; fractional brownian motion; option pricing; fractional with jumps models; hedging in fractional environments; fractional simulations
(This special issue belongs to the Section Probability and Statistics)
Methods for Estimation of Fractal Dimension Based on Digital Images submission deadline 31 Dec 2022 | 3 articles | Viewed by 1239
(This special issue belongs to the Section Numerical and Computational Methods)
Applications of Fractional-Order Calculus in Robotics submission deadline 31 Dec 2022 | Viewed by 299
Keywords: fractional calculus; fractional control; fractional modeling; robotics; manipulators fractal
(This special issue belongs to the Section Engineering)
Numerical Solution and Applications of Fractional Differential Equations
edited by Libo Feng, Yang Liu and Lin Liu
submission deadline 31 Dec 2022 | 4 articles | Viewed by 1881
Keywords: numerical methods; mathematical modelling; fractional calculus; fractional differential equations; numerical analysis; fast algorithm
(This special issue belongs to the Section Numerical and Computational Methods)
Advances in Fractional Differential Operators and Their Applications
edited by Angelo B. Mingarelli, and
submission deadline 31 Dec 2022 | 8 articles | Viewed by 2329
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)
Fractal Mechanics of Engineering Materials
edited by and S. S. R. Koloor
submission deadline 31 Dec 2022 | 2 articles | Viewed by 1530
(This special issue belongs to the Section Engineering)
Applications of Fractional Operator in Image Processing and Stability of Control Systems
edited by , Driss Boutat and Dayan Liu
submission deadline 15 Jan 2023 | 15 articles | Viewed by 9320
Keywords: image processing; image fusion; image denoising; stability of fractional systems; control of fractional systems; singular fractional systems
(This special issue belongs to the Section Engineering)
Applications of Fractal Analysis in Biomedical Signal Processing
edited by Hamidreza Namazi
submission deadline 15 Jan 2023 | Viewed by 175
Keywords: biomedical signals; complexity; fractal theory; applied mathematics; signal processing
(This special issue belongs to the Section Life Science, Biophysics)
Application of Fractal Processes and Fractional Derivatives in Finance
edited by
submission deadline 15 Jan 2023 | 4 articles | Viewed by 1987
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)
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