Fractal and Fractional

Fractional Integral Inequalities and Applications, 3rd Edition

edited by

and

submission deadline 31 Aug 2025 | 4 articles | Viewed by 4626 | 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)

Fractal and Fractional Statistics for Artificial Intelligence, Data Science, and Quantum Computing, 2nd Edition

edited by

Victor Leiva

and

Cecília Castro

submission deadline 31 Aug 2025 | 2 articles | Viewed by 2112 | Submission Open

Keywords: artificial intelligence; big data; blockchain; data science; deep learning; fractal statistics; fractional statistical moments; fractional statistics; fractional stochastic differential equations; fractile/quantile regression; fuzzy logic; multivariate statistics; quantum annealing; quantum computing; quantum information; quantum machine learning; quantum statistics; software development; statistical learning; statistical modeling

(This special issue belongs to the Section Probability and Statistics)

Analysis and Applications of Fractional Calculus in Computational Physics

edited by

Slobodanka Galovic

and

Dalibor Chevizovich

submission deadline 31 Aug 2025 | Viewed by 270 | Submission Open

Keywords: fractional calculus in physics; fractional operators; integral transformations of irrational functions; inverse Laplace transform of irrational functions; time-delayed fractional models; numerical methods in fractional problems

(This special issue belongs to the Section Mathematical Physics)

Advances in Fractional-Order Multiagent Systems: Theory and Applications

edited by Ping Gong

submission deadline 15 Sep 2025 | 8 articles | Viewed by 14355 | 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)

New Developments in Tracking and Stabilization of Fractional-Order Systems

edited by Sakthivel Ramalingam and

Parivallal Arumugam

submission deadline 15 Sep 2025 | 3 articles | Viewed by 3081 | Submission Open

Keywords: robust control of fractional-order cyber– physical systems; tracking control of fractional-order systems; stabilization of fractional-order systems; fractional-order time delay systems; disturbance rejection of fractional order systems; optimal control of fractional-order systems; event-triggered control for fractional order systems; fractional-order networked control systems; fractional-order neural networks; fractional-order fuzzy systems

(This special issue belongs to the Section Engineering)

Fractional Porous Medium Type and Related Equations

edited by Petra Wittbold

submission deadline 15 Sep 2025 | Viewed by 264 | 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)

Fractal Theory and Models in Nonlinear Dynamics and Their Applications, 2nd Edition

edited by

Luis Manuel Palacios-Pineda

and

Oscar Martínez-Romero

submission deadline 15 Sep 2025 | Viewed by 89 | Submission Open

Keywords: fractal theory; multifractals; fractal– fractional calculus; fractional chaotic systems; fractional nonlinear dynamics

(This special issue belongs to the Section Mathematical Physics)

Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives

edited by Phumlani Dlamini and Simphiwe Simelane

submission deadline 30 Sep 2025 | 12 articles | Viewed by 13537 | 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)

Variational Problems and Fractional Differential Equations

edited by Zhisu Liu and Yu Su

submission deadline 30 Sep 2025 | 8 articles | Viewed by 10481 | Submission Open

Keywords: variational problems; fractional differential equations; priori estimate; existence; non-existence; and uniqueness; regularity and symmetry; stability; asymptotic behavior

(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 30 Sep 2025 | 3 articles | Viewed by 2297 | 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)

Calculus of Variations, Fractional Calculus and Their Applications

edited by

Matheus J. Lazo

submission deadline 30 Sep 2025 | Viewed by 207 | Submission Open

Keywords: fractional calculus of variations; fractional derivatives and integrals; necessary and sufficient optimality conditions; fractional Euler– Lagrange equation; numerical and analytical methods; applications of fractional calculus of variations

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

Fractional Nonlinear Dynamics in Science and Engineering

edited by

Jorge E. Macías Díaz

and

Tassos Bountis

submission deadline 30 Sep 2025 | Viewed by 188 | Submission Open

Keywords: nonlinear fractional models; deterministic and stochastic models; fractional nonlinear systems; dynamics of fractional nonlinear systems; complex systems

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

Fractal and Fractional in Geotechnical Engineering, Second Edition

edited by Shaoheng He, Zhi Ding and

Panpan Guo

submission deadline 30 Sep 2025 | Viewed by 182 | 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)

Time-Fractal and Fractional Models in Physics and Engineering

edited by Kyungsik Kim

submission deadline 30 Sep 2025 | Viewed by 104 | Submission Open

Keywords: fractals; multifractals; MDFA; MDCCA; fractional analysis; thermodynamics; statistical mechanics; machine learning; artificial intelligence; complex network; image recognition; fluid climate and global change; econophysics; brain network

(This special issue belongs to the Section Complexity)

Fractional Derivatives in Mathematical Modeling and Applications

edited by

Damian Słota

,

Rafal Brociek

and

Edyta Hetmaniok

submission deadline 30 Sep 2025 | Viewed by 100 | 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)

Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems

edited by

Kaibo Shi

,

Zhinan Peng

, Xin Wang and Xiao Cai

submission deadline 1 Oct 2025 | 13 articles | Viewed by 20473 | Submission Open

Keywords: fractional order neural networks; nonlinear systems; networked control systems; modelling and analysis; control and optimization; intelligent learning; multiagent systems

(This special issue belongs to the Section Engineering)

Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics, 2nd Edition

edited by

Yusuf Gürefe

submission deadline 1 Oct 2025 | 6 articles | Viewed by 2970 | 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)

Multifractals, Turbulence and Complexity in Geoscience and Space Science, 2nd Edition

edited by Mirko Stumpo,

Simone Benella

and

Tommaso Alberti

submission deadline 1 Oct 2025 | 1 articles | Viewed by 538 | Submission Open

Keywords: fractals and multifractals; complexity and turbulence; extreme events; out of equilibrium; self-organization and criticality; multiplicative cascades and random multifractals; geoscience; space physics

(This special issue belongs to the Section Complexity)

Advances in Pattern Recognition—Image and Time Series Analyses—through Fractal Geometry and Complexity Theory

edited by Lucas C. Ribas, Leonardo F. S. Scabini and

Pier Luigi Gentili

submission deadline 31 Oct 2025 | 4 articles | Viewed by 8267 | Submission Open

Keywords: complex systems; pattern recognition; image processing; fractal descriptors; neural networks; network science

Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis

edited by

Gheorghe Oros

and

Georgia Irina Oros

submission deadline 31 Oct 2025 | 6 articles | Viewed by 6784 | Submission Open

Keywords: univalent functions; special functions; fractional operator; q– operator; differential subordination; differential superordination; quantum calculus

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

Flow and Transport in Fractal Models of Rock Mechanics

edited by Kouqi Liu

submission deadline 31 Oct 2025 | 2 articles | Viewed by 4713 | Submission Open

Keywords: fractal models; rock mechanics; transport process; oil and gas industry; reservoir characterization; numerical solution

(This special issue belongs to the Section Engineering)

Fractal Functions: Theoretical Research and Application Analysis

edited by Yong-Shun Liang and Jia Liu

submission deadline 31 Oct 2025 | 4 articles | Viewed by 1742 | Submission Open

Keywords: iterated function systems; fractal interpolation functions; fractal functions; fractal surfaces; fractional calculus; function spaces; self-similar sets and measures; self-affine and self-conformal sets/measures; fractal approximation and modeling; quantization dimension; box dimension; Hausdorff dimension; and L^q dimensions; applications of the fractal functions to any areas of finance; engineering; economy; biology; etc.

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

Advances in Nonlinear Functional Analysis on Fractional Differential Equations, 2nd Edition

edited by

Bipan Hazarika

submission deadline 31 Oct 2025 | 2 articles | Viewed by 1471 | Submission Open

Keywords: nonlinear functional analysis; control theory and applications; nonlinear fractional dynamic equations on timescale; fixed point theory; ecological systems; nonlinear dynamical systems; fractional calculus; solvability of infinite systems; sequence spaces and function spaces; nonlinear functionals and variational methods; nonlinear operators

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

Applied Fractional Calculus in Machine Learning and Biomedical Engineering

edited by

Saptarshi Das

submission deadline 31 Oct 2025 | 1 articles | Viewed by 1124 | Submission Open

Keywords: fractional-order machine learning algorithms; application of fractional calculus in deep learning; including novel architectures and training methods; fractional calculus in biomedical signal processing (EEG; ECG; MRI; etc.); modelling of biological phenomena using fractional differential equations; fractional-order control systems in biomedical devices; fractional calculus in the analysis of biomedical data and its integration with ML techniques; comparative studies between integer-order and fractional-order methods in ML and BME; practical challenges in applying FC to real-world problems in ML and BME

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

Multiscale Fractal Analysis in Unconventional Reservoirs

edited by

Yang Wang

submission deadline 31 Oct 2025 | 2 articles | Viewed by 851 | Submission Open

Keywords: multiscale fractal analysis; unconventional reservoirs; fractal geometry; fracture network characterization; pore structure analysis; fluid flow modeling; reservoir simulation; machine learning; digital rock physics

(This special issue belongs to the Section Engineering)

Fractional Calculus Applied in Environmental Biosystems

edited by Diogo Francisco Rossoni and Gustavo de Souza Matias

submission deadline 31 Oct 2025 | Viewed by 480 | Submission Open

Keywords: bioprocess modeling; environmental models; biosystem anomalies; fractional calculus

Fractional Dynamics and Control in Multi-Agent Systems and Networks

edited by Huaiqin Wu and

Cheng Hu

submission deadline 31 Oct 2025 | Viewed by 144 | Submission Open

Keywords: system model; fractional-order dynamics; MASs and CNs; stability analysis; nonlinear control

(This special issue belongs to the Section Engineering)

Numerical Simulations of Dynamic Behaviors and Control Design in Fractional Engineering Applications

edited by

José Manoel Balthazar

,

Angelo Marcelo Tusset

,

Hugo Valadares Siqueira

and Jeferson José de Lima

submission deadline 31 Oct 2025 | Viewed by 107 | Submission Open

Keywords: fractional calculus; numerical simulations; dynamic behaviors; control design; sensitivity analysis; fractional programming; fractional-order systems; optimization techniques

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

Mathematical and Numerical Analysis of Fractional Evolution Equations and Applications

edited by

Naben Parumasur

,

Vijay Kumar Kukreja

and

Pravin Singh

submission deadline 1 Nov 2025 | 1 articles | Viewed by 344 | Submission Open

Keywords: fractional PDEs; numerical solutions; exact solutions; fractional Sobolev spaces; distributed parameter systems; solitary and travelling waves

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

Analysis and Modeling of Fractional-Order Dynamical Networks

edited by Wang Fei and

Feifei Du

submission deadline 14 Nov 2025 | 5 articles | Viewed by 4908 | Submission Open

Keywords: fractional-order systems; neural networks; gene regulatory networks; dynamical networks; multi-agent systems; coupled systems; synchronization control; heterogeneous networks; analysis of dynamic behavior

(This special issue belongs to the Section Complexity)

Recent Advances in the Spatial and Temporal Discretizations of Fractional PDEs, Second Edition

edited by

Xian-Ming Gu

, Hongbin Chen and

Xiangcheng Zheng

submission deadline 14 Nov 2025 | 3 articles | Viewed by 1123 | 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 quadratures; modeling and simulations

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

Women’s Special Issue Series: Fractal and Fractional, 2nd Edition

edited by

Ivanka Stamova

and

Dana Copot

submission deadline 15 Nov 2025 | 4 articles | Viewed by 5736 | 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)

AI-Driven Fractal Models for Complex Systems

edited by

Dong Hao

and

María A. Navascués

submission deadline 22 Nov 2025 | Viewed by 95 | Submission Open

Keywords: fractal model and AI for social network and human behaviour; fractal AI models in economic and finance; AI-based fractal models for LLMS and NLP systems; intersection of fractal models and machine learning

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

Recent Advances in Fractional Fourier Transforms and Applications, 2nd Edition

edited by

Zunwei Fu

,

Bingzhao Li

and

Xiangyang Lu

submission deadline 25 Nov 2025 | 4 articles | Viewed by 4251 | Submission Open

Keywords: fractional Fourier transform; linear canonical transform; digital signal processing; fractional integral operator; partial differential equations

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

Fractional Processes and Systems in Computer Science and Engineering

edited by

Ming Li

and

Junyu He

submission deadline 30 Nov 2025 | 5 articles | Viewed by 6687 | Submission Open

Keywords: fractional processes; fractional systems; fractal dimensions; fractal time series; long-range dependence; fractal paths; anomalous diffusion behavior; stochastic processes; fractional Brownian motion; fractional derivative; fractional Gaussian noise; fractional models

(This special issue belongs to the Section Engineering)

Fractals in Biophysics and Their Applications

edited by Anirban Bandyopadhyay

submission deadline 30 Nov 2025 | 5 articles | Viewed by 6350 | Submission Open

Keywords: quantum mechanics; quantum biology; biophysics; biophotonics; bioelectronics; neuroscience; brain dynamics; fractal analysis in medicine; water network in biology

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

Recent Research in Fractional-Order Controllers and Their Applications

edited by

Carla M. A. Pinto

,

Cristina I. Muresan

and

Dana Copot

submission deadline 30 Nov 2025 | Viewed by 841 | Submission Open

Keywords: fractional-order control; FOPID; fractional calculus; modelling; implementation; stability analysis; control design

Recent Trends in Fractional Integral and Derivative Operators

edited by Arman Dabiri

submission deadline 10 Dec 2025 | Viewed by 49 | Submission Open

Keywords: time-delay systems; control theory for continuum systems; fractional-order systems; fractals and chaos; Volterra integro-differential systems; stochastic systems; diffusion and random walk processes; non-Markov processes; computational methods for nonlocal operators

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

Design, Optimization and Applications for Fractional Chaotic System

edited by

José Cruz Nunez-Perez

and

Vincent Ademola Adeyemi

submission deadline 15 Dec 2025 | 6 articles | Viewed by 9623 | Submission Open

Keywords: applications of chaotic systems and circuits; chaos; fractional-order circuits; fractional-order systems; fractional-order models; fractional-order mem-elements; hyperchaos; optimization; synchronization

(This special issue belongs to the Section Engineering)

Fractional Control Systems and Estimation: Control, State Observers and Parameter Estimation

edited by

Manuel A. Duarte-Mermoud

and Gustavo Ceballos-Benavides

submission deadline 15 Dec 2025 | 1 articles | Viewed by 674 | Submission Open

Keywords: adaptive identification and control; robust control; PID control; parameter estimation; state observers; Liouville– Caputo; Riemann– Liouville; Grunwald– Letnikov; adaptive systems and artificial intelligence

(This special issue belongs to the Section Engineering)

Advances in Fractional Order Systems and Robust Control, 2nd Edition

edited by

Feng Liu

submission deadline 20 Dec 2025 | 4 articles | Viewed by 6225 | Submission Open

Keywords: fractional order systems; fractional differential equations; robust control; fractional controllers; stability analysis; modeling

(This special issue belongs to the Section Engineering)

From Fractals to Fractional Calculus: Nonlinear Dynamics and Hybrid Complex Systems

edited by Katica (Stevanović) Hedrih

submission deadline 25 Dec 2025 | Viewed by 78 | Submission Open

Keywords: fractals; nonlinear dynamics; fractional calculus; mathematical phenomenology; hybrid systems; complex structures; discrete and continuous dynamic systems

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

Numerical Solution and Applications of Fractional Differential Equations, 3rd Edition

edited by

Libo Feng

,

Yang Liu

and

Lin Liu

submission deadline 25 Dec 2025 | Viewed by 40 | Submission Open

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)

Fractional Calculus and Nonlinear Analysis: Theory and Applications

edited by

Wei-Shih Du

,

Marko Kostić

and

Daniel Velinov

submission deadline 31 Dec 2025 | 6 articles | Viewed by 9865 | 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)

Mathematical Inequalities in Fractional Calculus and Applications, 2nd Edition

edited by

Seth Kermausuor

and

Eze Nwaeze

submission deadline 31 Dec 2025 | 5 articles | Viewed by 4458 | Submission Open

Keywords: fractional calculus; caputo derivative; riemann-liouville derivative; discrete fractional calculus; fractals; fractional differential equations; mathematical inequalities; time scales

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

Fractional Elliptic and Parabolic Equations: Analysis and Related Topics

edited by Wenxiong Chen and Leyun Wu

submission deadline 31 Dec 2025 | 2 articles | Viewed by 2117 | Submission Open

Keywords: fractional elliptic equations; fractional parabolic equations; fractional laplacian; non-local operators; variational method; multiplicity numerical analysis; applications of fractional equations; nonlinearity; symmetry; monotonicity; a priori estimate; existence; non-existence; uniqueness; classification; method of moving planes; sliding method; etc.

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

New Trends on Generalized Fractional Calculus, 2nd Edition

edited by

Milton Ferreira

,

Maria Manuela Fernandes Rodrigues

and

Nelson Felipe Loureiro Vieira

submission deadline 31 Dec 2025 | 2 articles | Viewed by 2042 | Submission Open

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)

Applications of Fractional Calculus in Modern Mathematical Modeling

edited by

Feliz Manuel Minhós

,

Ali Raza

and

Muhammad Mohsin

submission deadline 31 Dec 2025 | 2 articles | Viewed by 951 | Submission Open

Keywords: fractional calculus; fractional differential equations (FDEs); fractional delay differential equations (FDDEs); stochastic fractional delay differential equations (SFDDEs); memory effects; fractional partial differential equations (FRDE's); stochastic fractional partial differential equations (SFPDEs); existence and uniqueness of solutions for FDEs; stability analysis of FDEs; sufficient conditions for solvability of FDEs with multi-point type data; uniqueness of solution for FDEs with impulses given by functions with several variables; solvability of functional FDES in involving P-Laplacian; multiplicity results for singular FDES in biological models; numerical methods in fractional calculus; biological systems modeling through fractional calculus; efficient computational methods to solve fractional differential equations for biological systems; control theory; mathematical modeling in finance through fractional calculus; data-driven approaches through fractional calculus; machine learning with fractional operators; future research directions and open problems in the application of fractional calculus in mathematical modeling

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

Applications of Fractional-Order Calculus in Robotics, 2nd Edition

edited by

Abhaya Pal Singh

and

Kishore Bingi

submission deadline 31 Dec 2025 | Viewed by 375 | Submission Open

Keywords: fractional calculus; fractional control; fractional modeling; robotics; fractal manipulators

Modeling and Dynamic Analysis of Fractional-Order Systems

edited by Li Ma and Fanhai Zeng

submission deadline 31 Dec 2025 | Viewed by 151 | Submission Open

Keywords: stability and control of fractional-order systems; reductions for fractional-order systems; bifurcation and chaos in fractional-order systems; discrete-time or continuous-time fractional-order systems; modeling via fractional calculus; generalized fractional calculus; numerical methods for fractional-order systems

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

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