Fractal and Fractional

Fractal Analysis in Biology and Medicine

edited by

submission deadline 30 Jan 2026 | 4 articles | Viewed by 5596 | Submission Open

Keywords: fractal analysis; fractal dimension; complexity; self-similarity; neuroscience; morphometry; cell and tissue analysis

(This special issue belongs to the Section Life Science, Biophysics)

Advances in Fractional-Order Chaotic and Complex Systems

edited by

Chunhua Wang

,

Fei Yu

and

Wei Yao

submission deadline 31 Jan 2026 | 7 articles | Viewed by 8575 | Submission Open

Keywords: fractional-order theory; fractional-order systems; complex systems; chaos; chaotic systems; chaos applications; non-linear systems; neural networks

(This special issue belongs to the Section Complexity)

Advances in Fractional Integral Inequalities: Theory and Applications

edited by

Armando Gallegos

and

Jorge E. Macías Díaz

submission deadline 31 Jan 2026 | 4 articles | Viewed by 2311 | Submission Open

Keywords: fractional integral inequalities; numerical integrations methods; operator theory; convex and concave functions

(This special issue belongs to the Section General Mathematics, Analysis)

Theoretical Development and Application in Analytical and Numerical Methods for Fractional Differential Equations

edited by

Xinguang Zhang

,

Yonghong Wu

and

Chuanjun Chen

submission deadline 31 Jan 2026 | 2 articles | Viewed by 1948 | Submission Open

Keywords: fractional differential equations; boundary value problems; fractional integrals and derivatives; fractional Partial differential equations; fixed-point theory; fractional network

(This special issue belongs to the Section General Mathematics, Analysis)

Fractional-Order Systems: Modeling and Control Applications in Engineering

edited by

Jianwen Zhou

and

Tianwei Zhang

submission deadline 31 Jan 2026 | 2 articles | Viewed by 1007 | Submission Open

Keywords: fractional-order differential or difference equations; fractional controlling theories; fractional-order systems; numerical methods; optimization techniques; complex networks; neural networks; applications in robotics and automation; applications in power and electrical systems; applications in mechanical systems; applications in biomedical engineering; applications in signal processing and communications

(This special issue belongs to the Section General Mathematics, Analysis)

Modeling, Simulation and Applications of Fractal/Fractional Calculus to Engineering Materials

edited by

Wei Cai

,

Xianglong Su

and

Wojciech Sumelka

submission deadline 31 Jan 2026 | 1 articles | Viewed by 655 | Submission Open

Keywords: constitutive models; fractional/fractal viscoelasticity; fractional/fractal viscoplasticity; numerical methods; multiscale modeling; dynamic analyses; artificial intelligence (AI)

(This special issue belongs to the Section Engineering)

Nonlinear Dynamics, Chaos and Control of Fractional Systems

edited by Vinícius Piccirillo,

José Manoel Balthazar

,

Angelo Marcelo Tusset

and Jeferson José de Lima

submission deadline 31 Jan 2026 | Viewed by 230 | Submission Open

Keywords: fractional-order systems; nonlinear dynamics; chaos and bifurcation; fractional-order control; memory effects; time series modeling

(This special issue belongs to the Section Engineering)

Fractional Calculus Applications for Signal Processing and Data Science

edited by

Héctor Vázquez-Leal

and

Manuel Duarte Ortigueira

submission deadline 15 Feb 2026 | 2 articles | Viewed by 6424 | Submission Open

Keywords: fractional calculus; fractional transfer functions/Bode diagrams; fast numerical algorithms for fractional calculus; fractional signal processing in time and frequency domains; image processing and fractional techniques; embedded systems implementation of fractional operators; fractional filters design and implementation; fractional-order algorithms in AI; data science applications of fractional calculus; machine learning with fractional operators

Control, Optimization, and Artificial Intelligence Methods Involving Fractals and Fractional Calculus

edited by

Jae Hoon Jeong

,

Duarte Valério

and

Sachin Sakthi Kuppusami Sakthivel

submission deadline 20 Feb 2026 | Viewed by 736 | Submission Open

Keywords: fractals; fractional calculus; control systems; optimization; artificial intelligence; machine learning; tracking; detection; segmentation; fractional-order models; fractal neural networks; evolutionary algorithms; signal processing; computer vision; autonomous systems

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Harmonic and Geometric Analysis for Fractional Equations

edited by Leandro Tavares and Alessio Fiscella

submission deadline 25 Feb 2026 | 2 articles | Viewed by 1507 | Submission Open

Keywords: fractional equations; fractional operators; fractional derivatives; harmonic analysis; geometric analysis; regularity estimates; fractional Laplacian; geometric aspects of fractional equations; variational methods; existence of solutions; multiplicity

(This special issue belongs to the Section General Mathematics, Analysis)

Fractional Integral Inequalities and Applications, 3rd Edition

edited by

Artion Kashuri

and

Hari Mohan Srivastava

submission deadline 28 Feb 2026 | 9 articles | Viewed by 8510 | 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)

New Challenges Arising in Engineering Problems with Fractional and Integer Order, 4th Edition

edited by

Haci Mehmet Baskonus

,

Luis Manuel Sánchez Ruiz

and

Armando Ciancio

submission deadline 28 Feb 2026 | 6 articles | Viewed by 5201 | Submission Open

Keywords: new analytical and numerical methods to solve partial differential equations; computational methods for fractional differential equations; the analysis; modeling; and control of phenomena in the following areas; engineering problems; deterministic and stochastic fractional order models

(This special issue belongs to the Section Engineering)

Fractal Analysis and Its Applications in Rock Engineering, Second Edition

edited by

Xiaohan Yang

,

Lihai Tan

and Gaofeng Liu

submission deadline 28 Feb 2026 | 5 articles | Viewed by 3561 | Submission Open

Keywords: fractal analysis and modeling; fragmentation; rock mechanics; rock fractures; rock microstructures; rock engineering; geomechanical processes; engineering application

(This special issue belongs to the Section Engineering)

Advances in Fractional Initial and Boundary Value Problems

edited by

Sotiris K. Ntouyas

,

Bashir Ahmad

and

Jessada Tariboon

submission deadline 28 Feb 2026 | 4 articles | Viewed by 2610 | Submission Open

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)

Fractal Mechanics of Engineering Materials, 2nd Edition

edited by

Mohd Nasir Tamin

and

Seyed R. Koloor

submission deadline 28 Feb 2026 | 2 articles | Viewed by 2537 | Submission Open

Keywords: fractal analysis; fractal dimension; fractal mechanics; continuum mechanics; fracture mechanics; fatigue and fatigue crack growth; damage mechanics; experimental mechanics

Advances in Fractional Modeling and Computation, Second Edition

edited by

,

,

and

submission deadline 28 Feb 2026 | 1 articles | Viewed by 859 | 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 dynamic 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)

Advances in Fractal and Multifractal Analysis Driven by Machine Learning Approaches

edited by Lyudmyla Kirichenko

submission deadline 28 Feb 2026 | 1 articles | Viewed by 736 | Submission Open

Keywords: fractal/multifractal analysis; self-similarity; time series; long-term memory; scaling properties; artificial intelligence; machine learning; deep learning; complexity analysis; anomaly detection; feature extraction; applications

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Multifractal Analysis and Complex Systems

edited by

Enrico De Santis

and Alessio Martino

submission deadline 28 Feb 2026 | Viewed by 177 | Submission Open

Keywords: multifractal analysis; fractal geometry; self-affine systems; complex systems; scaling laws; nonlinear dynamics; neural networks; network science; applied mathematics

(This special issue belongs to the Section Complexity)

Theoretical and Numerical Methods for Fractional and Nonlocal Partial Differential Equations

edited by

Giuseppe Di Fazio

and Giovanni Molica Bisci

submission deadline 28 Feb 2026 | Viewed by 96 | Submission Open

Keywords: nonlocal equations; fractional models; numerical methods; variational methods; regularity theory

(This special issue belongs to the Section General Mathematics, Analysis)

Stochastic Models, Fractional Calculus and Non-Local Operators: Theoretical Results and Applications

edited by Enrica Pirozzi, Luisa Beghin, Janusz Gajda and Lauri Viitasaari

submission deadline 1 Mar 2026 | 2 articles | Viewed by 850 | Submission Open

Keywords: statistical analysis of fractional models; fractional Brownian motion; fractional diffusion processes; fractional stochastic differential equations

(This special issue belongs to the Section General Mathematics, Analysis)

Fractal Applications in Thermal Engineering

edited by Qingyong Zhu

submission deadline 10 Mar 2026 | Viewed by 138 | Submission Open

(This special issue belongs to the Section Engineering)

Advances in Fractional-Order Control with Special Focus to Power Systems

edited by

Martin Čech

submission deadline 14 Mar 2026 | 2 articles | Viewed by 3372 | Submission Open

Keywords: fractional-order controllers; fractional-order PID controllers; fractional-order systems; adaptive fractional-order control; robust control; advanced process control; power systems; control performance assessment; system identification

(This special issue belongs to the Section Engineering)

Fractal and Fractional Analysis in Biomedical Sciences and Engineering, 2nd Edition

edited by

Andjelija Ž. Ilić

and

Corina S Drapaca

submission deadline 15 Mar 2026 | Viewed by 264 | 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

Applications of General Fractional Calculus Models: Insights into Viscoelasticity and Wave Propagation

edited by Yiying Feng,

Jiangen Liu

, Yiming Wang and

Alex Elías-Zúñiga

submission deadline 20 Mar 2026 | 7 articles | Viewed by 6432 | Submission Open

Keywords: general fractional calculus; integration of mathematics and engineering; fractional rheological models; fractal dimensional space; nonlinear theory; fractional wave propagation models

(This special issue belongs to the Section Engineering)

Efficient Development of Geo-Energy and Carbon Sequestration in Fractal Geo-Systems: New Challenges

edited by Zhongwei Wu, Chuanzhi Cui and

Japan Trivedi

submission deadline 20 Mar 2026 | 3 articles | Viewed by 2721 | Submission Open

Keywords: geo-energy development; fractal geometry; CCUS/CCS; data analysis technology; production enhancement technologies; multi-phase flow discipline; water– rock reaction in fractal systems

(This special issue belongs to the Section Engineering)

Fractional Porous Medium Type and Related Equations

edited by Petra Wittbold

submission deadline 20 Mar 2026 | 2 articles | Viewed by 1751 | Submission Open

Keywords: time-fractional porous medium and related equations; subdiffusion processes; memory effects; stochastic perturbation; numerical approximation

(This special issue belongs to the Section General Mathematics, Analysis)

Analysis and Applications of Fractional Calculus and Mathematical Modelling

edited by

Marcelo Kaminski Lenzi

submission deadline 31 Mar 2026 | 6 articles | Viewed by 6287 | Submission Open

Keywords: fractional calculus; fractional differential and integral equations; fractional models; mathematical modelling; fractional dynamics; modeling simulation; process control; application of fractional calculus; focusing on modeling and optimization.

(This special issue belongs to the Section General Mathematics, Analysis)

Fractional Order Modelling of Dynamical Systems

edited by

Zubair Ahmad

submission deadline 31 Mar 2026 | 3 articles | Viewed by 3702 | Submission Open

Keywords: fractional derivatives; numerical methods of fractional order systems; fractional dynamical systems; stability analysis; fractional models in fluid dynamics; disease dynamics and epidemiology; fractional modelling with applications

(This special issue belongs to the Section Engineering)

Fractional Derivatives in Mathematical Modeling and Applications

edited by

Damian Słota

,

Rafal Brociek

and

Edyta Hetmaniok

submission deadline 31 Mar 2026 | 2 articles | Viewed by 1314 | Submission Open

Keywords: fractional calculus; mathematical modeling; fractional differential equation; numerical methods; fractional integro-differential equations; optimization problems

(This special issue belongs to the Section Numerical and Computational Methods)

Fractal Dimensions and Their Implications in Characterization of Porous Media

edited by

Boming Yu

, Boqi Xiao and

Dahua Shou

submission deadline 31 Mar 2026 | 1 articles | Viewed by 635 | Submission Open

Keywords: fractal; porous media; thermal conductivity; permeability; electrical conductivity; diffusivity; pore-fracture media

(This special issue belongs to the Section Engineering)

Fractal and Multifractal Analysis in Geophysics and Petrophysics: Theory, Methods, and Applications

edited by

Peiqiang Zhao

, Lingyun Kong and

Mehdi Ostadhassan

submission deadline 31 Mar 2026 | Viewed by 625 | Submission Open

Keywords: porous media; fractal and multifractal; petrophysics; geophysics; rock mechanics; unconventional resources

(This special issue belongs to the Section Engineering)

Metric Spaces with Its Application to Fractional Differential Equations, Second Edition

edited by Monica-Felicia Bota,

Liliana Guran

and

Khurram Shabbir

submission deadline 31 Mar 2026 | Viewed by 575 | Submission Open

Keywords: metric spaces; fixed points theorems; well-posedness; stability; fractional differential equations with different kernels; fractal patterns; statistical convergence; decision making problems; numerical and computational methods; mathematical physics; mathematics in biology; intuitionistic fuzzy relations

(This special issue belongs to the Section General Mathematics, Analysis)

Fractional Calculus in Signal, Imaging Processing and Machine Learning, 2nd Edition

edited by

Yi-Fei Pu

submission deadline 31 Mar 2026 | Viewed by 359 | Submission Open

Keywords: fractional-order signal processing; fractional-order image processing; fractional-order machine learning; fractional-order computing law; fractional-order neuromorphic computing

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Fractals in Physiology and Medicine

edited by

Igor V. Pantic

submission deadline 31 Mar 2026 | Viewed by 146 | Submission Open

Keywords: fractal analysis; physiological signals; biomedical imaging; machine learning in physiology; complex systems; computational physiology

(This special issue belongs to the Section Life Science, Biophysics)

Advances in Fractional-Order Control for Nonlinear Systems

edited by

Masoud Sotoodeh-Bahraini

and

Pedro Ferreira

submission deadline 31 Mar 2026 | Viewed by 143 | Submission Open

Keywords: fractional-order control; nonlinear systems; fractional calculus; variable-order controllers; adaptive control; robust control; stability analysis; Lyapunov methods; fractional PID controllers; backstepping control; memory-dependent systems; hybrid fractional– integer control; computational complexity in control; real-time control systems; human– robot interaction; power electronics control; biomedical systems control; mechatronic systems; industrial automation; process control

(This special issue belongs to the Section Engineering)

Advances in Fractional Order Signal Processing: Theory and Methods

edited by Yuan-Min Li and Deyun Wei

submission deadline 31 Mar 2026 | Viewed by 105 | Submission Open

Keywords: fractional integral transform; sparse fractional order transform; sparse representation and fast algorithm; graph transform; sampling and filtering; convolutional neural network; digital signal processing

(This special issue belongs to the Section Engineering)

Fractional-Order Modeling in Data-Driven Intelligent Systems: From Optimization to AI/ML Applications

edited by Yan Li and Ziquan Yu

submission deadline 15 Apr 2026 | Viewed by 107 | Submission Open

Keywords: fractional-order calculus in AI/ML; control theoretic ML; large-scale optimization; safe/explainable AI; real-time ML; interdisciplinary integration

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Nonlinear Fractional Maps: Dynamics and Control

edited by Telksnys Tadas

submission deadline 20 Apr 2026 | 1 articles | Viewed by 1182 | Submission Open

(This special issue belongs to the Section General Mathematics, Analysis)

Advanced Numerical Methods for Fractional Functional Models

edited by

,

,

,

and Farzaneh Alizadeh

submission deadline 30 Apr 2026 | 4 articles | Viewed by 5580 | Submission Open

Keywords: numerical methods; approximation methods; fractional differential equations; fractional partial differential equations; fractional integral equations; fractional functional models

(This special issue belongs to the Section Numerical and Computational Methods)

Mathematical and Physical Analysis of Fractional Dynamical Systems, Second Edition

edited by Dimplekumar N. Chalishajar and Kasinathan Ravikumar

submission deadline 30 Apr 2026 | 6 articles | Viewed by 3690 | Submission Open

Keywords: functional differential and integral systems with applications; fractional PDE with applications; fractional numerical analysis and numerical simulations; oscillation/nonoscillation; feedback control and various stability analysis; boundary value problems; Markov chain process; jump processes; coupled dynamics; fractional processes; space– time fractional equations; fractional Brownian motion and Rosenblatt process; long-range dependence; time– space fractional vibration equation; convergence; eigenvalue; green function

(This special issue belongs to the Section Engineering)

Fractal Analysis and Its Applications in Materials Science

edited by

Zine El Abiddine Fellah

submission deadline 30 Apr 2026 | 3 articles | Viewed by 3321 | Submission Open

Keywords: fractal analysis; fractal materials; fractals media; metamaterial characterization; acoustic characterization; porous materials; micropolar materials; poroelastic /elastic materials; solid and fluid mechanics; self-similar media; fractal analysis and applications in materials science

(This special issue belongs to the Section Engineering)

Fractional-Order Modeling and Control for Complex Dynamic Systems: Methodologies and Applications

edited by Necdet Sinan Özbek,

Ying Luo

and

Yangquan Chen

submission deadline 30 Apr 2026 | 1 articles | Viewed by 775 | Submission Open

Keywords: fractional-order systems; fractional calculus; complex dynamic systems; fractional-order control; non-integer order modeling; robust control; adaptive control; sliding mode control; stability analysis; system identification; memory and hereditary systems; numerical methods for fractional systems; networked and distributed systems; machine learning in fractional control; biomedical applications of fractional models; energy systems modeling; optimization in fractional-order systems; time-domain and frequency-domain analysis

(This special issue belongs to the Section Engineering)

Artificial Intelligence and Fractional Modelling for Energy Systems

edited by

Alejandro Ramos Martín

and

Federico León Zerpa

submission deadline 30 Apr 2026 | 1 articles | Viewed by 744 | Submission Open

Keywords: adaptive and learning algorithms; digital twin behaviour-matching algorithms; fractional-order modelling; optimisation methods; edge artificial intelligence; AI at the Edge; AI on the Edge; edge computing with AI; peripheral AI; peripheral artificial intelligence; decentralised AI computing; real-time AI; low-latency AI processing; real-time AI inference; AI in embedded systems; edge machine learning (Edge ML); AI for smart sensors

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Fractional Order Mechatronics

edited by

Ying Luo

and Pengchong Chen

submission deadline 30 Apr 2026 | Viewed by 589 | Submission Open

Keywords: fractional-order system and control; mechatronics; fractional-order modeling; application actuators and sensors; system stability and optimization

(This special issue belongs to the Section Engineering)

Fractional Differential Equations: Computation and Modelling with Applications, 2nd Edition

edited by Rajarama Mohan Jena and

Snehashish Chakraverty

submission deadline 30 Apr 2026 | Viewed by 314 | Submission Open

Keywords: fractional derivatives and integrals; fractional operators; fractal– fractional derivatives and integrals; mathematical modelling; computational efficient methods; uncertainty and artificial intelligence; non-singular kernels

New Perspectives and Applications of Fractional Order Modeling in Energy Systems

edited by

Marco Antonio Polo-Labarrios

submission deadline 30 Apr 2026 | Viewed by 117 | Submission Open

Keywords: fractional order differential equations; fractional modeling; fractional dynamics; anomalous transport; thermal memory effects; multiscale energy systems; fractional simulation; numerical algorithms in fractional calculus

(This special issue belongs to the Section Engineering)

Advances in Fractal Analysis for Biomedical Image: Methods and Applications

edited by Paraschiva A. Postolache and

Maricel Agop

submission deadline 30 Apr 2026 | Viewed by 48 | Submission Open

Keywords: fractal analysis; biomedical imaging; fractal dimension; image processing

(This special issue belongs to the Section Life Science, Biophysics)

Fractal Dimension Analysis in Brain Function: From Basic Mechanisms to Clinical Frontiers

edited by

Camillo Porcaro

submission deadline 1 May 2026 | Viewed by 217 | Submission Open

Keywords: innovative methods for FD extraction and analysis in neural signals; FD-driven improvements in BCI design and decoding strategies; personalised neuromodulation by tailoring NIBS interventions using FD metrics; FD as a non-invasive biomarker for early diagnosis and monitoring of neurological and psychiatric disorders; multimodal and cross-modal applications combining FD with EEG; MEG; fMRI; and TMS; new theoretical frameworks linking brain criticality; fractal geometry; and functional connectivity

(This special issue belongs to the Section Life Science, Biophysics)

Distributed Control and Optimization of Fractional-Order Systems: Theory and Applications

edited by Jun Shen and Cuihong Wang

submission deadline 16 May 2026 | 1 articles | Viewed by 1590 | Submission Open

Keywords: fractional-order systems; fractional-order nonlinear systems; control theory and control engineering; optimal control; distributed control; multi-agent systems; cyber-physical systems; stability of dynamic systems

(This special issue belongs to the Section Engineering)

Fractal Dynamics of Complex Systems in Society and Behavioral Science

edited by

Trung V. Phan

and Mingshu Peng

submission deadline 20 May 2026 | 1 articles | Viewed by 522 | Submission Open

Keywords: fractal dynamics; scale free; collective behavior; self-organization; adaptive and intelligent systems

(This special issue belongs to the Section Life Science, Biophysics)

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