Fractal and Fractional

Contemporary Methods of Fractional Order Differential and Differential-Operator Equations

edited by

Sabir Umarov

,

Yuri Luchko

and

Yangquan Chen

submission deadline 30 Nov 2024 | 1 articles | Viewed by 720 | Submission Open

Keywords: fractional-order PDEs; fractional-order differential operator equations; fractional-order SDEs; fractional fokker– planck equation; fractional-order systems; inverse problems for fractional-order equations; stability of fractional-order systems; applied fractional-order equations; applied fractional-order systems; determination of order(s); determination of coefficients; solution spaces; representation of solution; fundamental solution; mittag– leffler- and wright-type functions; matrix-valued mittag– leffler and Wright functions

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

Fractional Diffusion Equations: Numerical Analysis, Modeling and Application, 2nd Edition

edited by

Boying Wu

and Xiuying Li

submission deadline 30 Nov 2024 | Viewed by 107 | Submission Open

Keywords: fractional diffusion equations; fractional oscillating differential equations; nonsmoth functions; singular integral equations; fractional order system identification; modeling; application

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

Design, Optimization and Applications for Fractional Chaotic System

edited by

José Cruz Nunez-Perez

and

Vincent Ademola Adeyemi

submission deadline 15 Dec 2024 | 2 articles | Viewed by 4473 | 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)

Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation

edited by

Gabriel Bengochea

and

Manuel Duarte Ortigueira

submission deadline 20 Dec 2024 | 2 articles | Viewed by 3013 | Submission Open

Keywords: autoregressive-moving average (ARMA); shift-invariant; scale-invariant; fBm; Liouville; Liouville– Caputo; Hadamard; Riemann– Liouville; Dzherbashian– Caputo; Grunwald– Letnikov; two-sided Riesz– Feller derivatives

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

Advances in Fractional Modeling and Computation

edited by

,

,

and

submission deadline 22 Dec 2024 | 14 articles | Viewed by 15528 | 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 dynamical 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)

Fractal and Fractional Analysis in Biomedical Sciences and Engineering

edited by

Andjelija Ž. Ilić

submission deadline 25 Dec 2024 | 5 articles | Viewed by 7088 | 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)

Fractional-Order Circuits, Systems, and Signal Processing, 2nd Edition

edited by

Norbert Herencsar

,

Shibendu Mahata

,

Esteban Tlelo-Cuautle

and

Ivo Petráš

submission deadline 25 Dec 2024 | 3 articles | Viewed by 2897 | Submission Open

Keywords: fractional-order analog filters; oscillators; PLLs; fractional-order filters for digital signal and image processing; fractional-order neural networks for signal processing; modeling of fractance behavior using active/passive elements; fabrication of fractance elements; fractional-order modeling of batteries; fractional-order control systems; fractional-order bioimpedance modeling

(This special issue belongs to the Section Engineering)

Flow and Transport in Fractal Models of Rock Mechanics

edited by Kouqi Liu

submission deadline 25 Dec 2024 | 2 articles | Viewed by 2884 | 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)

Fractional Calculus in Signal, Imaging Processing and Machine Learning

edited by

Yifei Pu

submission deadline 31 Dec 2024 | 9 articles | Viewed by 14737 | Submission Open

(This special issue belongs to the Section Engineering)

Recent Advances in Computational Physics with Fractional Application, 2nd Edition

edited by

Lanre Akinyemi

,

Solomon Manukure

and

Mehmet Senol

submission deadline 31 Dec 2024 | 11 articles | Viewed by 13314 | Submission Open

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 fractional derivatives; numerical and computational methods in fractional differential equations

(This special issue belongs to the Section Mathematical Physics)

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 31 Dec 2024 | 10 articles | Viewed by 10227 | 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)

Fractal Theory and Models in Nonlinear Dynamics and Their Applications

edited by

Luis Manuel Palacios-Pineda

and

Oscar Martínez-Romero

submission deadline 31 Dec 2024 | 8 articles | Viewed by 7521 | Submission Open

(This special issue belongs to the Section Mathematical Physics)

Recent Advances in Fractional Differential Equations and Their Applications, 2nd Edition

edited by

Xiaoli Chen

,

Dongfang Li

and Ting Gao

submission deadline 31 Dec 2024 | 7 articles | Viewed by 6468 | 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)

Variational Problems and Fractional Differential Equations

edited by Zhisu Liu and Yu Su

submission deadline 31 Dec 2024 | 6 articles | Viewed by 5545 | 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)

Fractional Equations and Calculation Methods in Exploration Seismology

edited by

Jidong Yang

and Zeyu Zhao

submission deadline 31 Dec 2024 | 4 articles | Viewed by 4756 | 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)

Heat Transfer and Diffusion Processes in Fractal Domains

edited by Qingyong Zhu

submission deadline 31 Dec 2024 | 2 articles | Viewed by 2607 | Submission Open

(This special issue belongs to the Section Engineering)

Recent Advances in the Equation with Nonlinear Fractional Diffusion

edited by Armando Gallegos and

Jorge E. Macías Díaz

submission deadline 31 Dec 2024 | 2 articles | Viewed by 1893 | Submission Open

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

Complex Dynamics and Multifractal Analysis of Financial Markets

edited by Leonardo Henrique Silva Fernandes and

Benjamin Miranda Tabak

submission deadline 31 Dec 2024 | 1 articles | Viewed by 1748 | Submission Open

Keywords: complexity; cross-correlations; financial markets; multifractality; time series

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

Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis

edited by

Gheorghe Oros

and

Georgia Irina Oros

submission deadline 31 Dec 2024 | 1 articles | Viewed by 1371 | 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)

Anomalous Diffusion and Relaxations in Liquid Crystals: Fractal and Fractional Behavior

edited by Rafael Soares Zola and

Ervin K. Lenzi

submission deadline 31 Dec 2024 | 1 articles | Viewed by 1150 | 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)

Recent Research in Fractional-Order Controllers: Selected Papers from the ICMASC’24

edited by

Carla M. A. Pinto

,

Cristina I. Muresan

and

Dana Copot

submission deadline 31 Dec 2024 | Viewed by 478 | Submission Open

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

Fractional Calculus Operators and the Mittag-Leffler Function, 2nd Edition

edited by

Maja Andrić

submission deadline 31 Dec 2024 | 1 articles | Viewed by 429 | Submission Open

Keywords: fractional calculus; mittag-Leffler function; fractional integral operator; integral inequality; convex function; bound of operator

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

Fractional Order Systems: Deterministic and Stochastic Analysis, 3rd Edition

edited by

Amar Debbouche

submission deadline 31 Dec 2024 | Viewed by 195 | Submission Open

Keywords: fractional dynamical systems; fractional inverse problems; fractional mathematical models; fractional PDEs; fractional operators

Fractal Geometry and Dynamical Systems

edited by

Mrinal Kanti Roychowdhury

and Saurabh Verma

submission deadline 31 Dec 2024 | Viewed by 123 | Submission Open

Keywords: iterated function systems; julia and mandelbrot sets; self-similar sets and measures; self-affine and self-conformal sets/measures; fractal interpolation functions; quantization dimension; box dimension; hausdorff dimension and Lq dimensions

(This special issue belongs to the Section Geometry)

Current Trends on Fractional-Order Systems: Bifurcations, Synchronization, and Chaos

edited by Joaquin Alvarez and J. Pena-Ramirez

submission deadline 15 Jan 2025 | Viewed by 330 | Submission Open

Keywords: stability; oscillators; complex networks; chaos; bifurcation; synchronization; emergent behavior; fractional order neural networks

(This special issue belongs to the Section Complexity)

Fractal and Fractional in Geomaterials, 2nd Edition

edited by Yifei Sun

submission deadline 15 Jan 2025 | Viewed by 173 | Submission Open

Keywords: fractal media; fractional mechanics; micro-to-macro. geomaterials; nonconventional approach

(This special issue belongs to the Section Engineering)

New Trends on Generalized Fractional Calculus, 2nd Edition

edited by

Milton Ferreira

,

Maria Manuela Fernandes Rodrigues

and

Nelson Felipe Loureiro Vieira

submission deadline 15 Jan 2025 | Viewed by 103 | 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)

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 17 Jan 2025 | 2 articles | Viewed by 2412 | Submission Open

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

Fractional-Order Learning Systems: Theory, Algorithms, and Emerging Applications

edited by

Sayed Pouria Talebi

submission deadline 20 Jan 2025 | Viewed by 103 | Submission Open

Keywords: fractional-order learning systems; fractional-order calculus; signal processing; information processing; machine learning; control agorithms; modern circuits

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

Fractal Theory Applications in the Contact Interface of Mechanical Equipment

edited by Shuangfu Suo, Min Huang and Qi An

submission deadline 25 Jan 2025 | Viewed by 88 | Submission Open

Keywords: fractal theory; contact interface; contact mechanics; surface topography; tribological properties; cross-scale

(This special issue belongs to the Section Engineering)

Fractal Analysis and Its Applications in Rock Engineering

edited by

Lihai Tan

,

Xiaohan Yang

and Gaofeng Liu

submission deadline 31 Jan 2025 | 11 articles | Viewed by 10000 | 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)

Fractional-Order Chaotic System: Control and Synchronization, 2nd Edition

edited by

Song Zheng

,

Emad E. Mahmoud

and

Yangquan Chen

submission deadline 31 Jan 2025 | 5 articles | Viewed by 6759 | Submission Open

Keywords: fractional-order; complex systems; chaos; synchronization; control; stabilization; consensus; identification; modelling

(This special issue belongs to the Section Complexity)

Fractional Calculus and Nonlinear Analysis: Theory and Applications

edited by

Wei-Shih Du

,

Marko Kostić

and

Daniel Velinov

submission deadline 31 Jan 2025 | 4 articles | Viewed by 5464 | 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)

Advances in Fractional-Order Chaotic and Complex Systems

edited by

Chunhua Wang

,

Fei Yu

and

Wei Yao

submission deadline 31 Jan 2025 | 1 articles | Viewed by 1437 | 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)

Metric Spaces with Its Application to Fractional Differential Equations

edited by Khurram Shabbir, Monica-Felicia Bota and

Liliana Guran

submission deadline 14 Feb 2025 | 6 articles | Viewed by 7200 | 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 Elliptic and Parabolic Equations: Analysis and Related Topics

edited by Wenxiong Chen and Leyun Wu

submission deadline 14 Feb 2025 | 1 articles | Viewed by 642 | 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)

Fractional Differential Equations: Computation and Modelling with Applications

edited by

Rajarama Mohan Jena

and

Snehashish Chakraverty

submission deadline 20 Feb 2025 | 9 articles | Viewed by 10932 | 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)

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

edited by

Abhaya Pal Singh

and

Kishore Bingi

submission deadline 20 Feb 2025 | Viewed by 125 | Submission Open

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

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

edited by

Feng Liu

submission deadline 21 Feb 2025 | 3 articles | Viewed by 2221 | Submission Open

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

(This special issue belongs to the Section Engineering)

Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition

edited by

Libo Feng

,

Yang Liu

and

Lin Liu

submission deadline 25 Feb 2025 | 7 articles | Viewed by 5592 | 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)

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

edited by

Zunwei Fu

,

Bingzhao Li

and

Xiangyang Lu

submission deadline 25 Feb 2025 | 1 articles | Viewed by 456 | 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)

Mathematical and Physical Analysis of Fractional Dynamical Systems

edited by Dimplekumar Chalishajar and Kasinathan Ravikumar

submission deadline 28 Feb 2025 | 9 articles | Viewed by 9791 | 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)

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

edited by

Ivanka Stamova

,

Carla M. A. Pinto

and

Dana Copot

submission deadline 28 Feb 2025 | 2 articles | Viewed by 2784 | 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)

Fractal and Multifractal Analysis in Econometric Models and Empirical Finance

edited by

Sun-Yong Choi

submission deadline 28 Feb 2025 | 1 articles | Viewed by 1901 | Submission Open

Keywords: multifractal analysis; hurst exponent; multiscale analysis; financial market efficiency; empirical finance

(This special issue belongs to the Section Mathematical Physics)

Fractals in Biophysics and Their Applications

edited by Anirban Bandyopadhyay

submission deadline 28 Feb 2025 | 2 articles | Viewed by 1372 | 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)

Mathematical Description of Human Nervous System Using Fractals, Fractional and Integer Order Calculus

edited by

Stefan Balint

submission deadline 28 Feb 2025 | Viewed by 114 | Submission Open

Keywords: human nervous system; mathematical description using fractals; mathematical description using integer order and fractional order calculus

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

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

edited by

Martin Čech

submission deadline 14 Mar 2025 | Viewed by 121 | 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)

Advances in Fractional Order Derivatives and Their Applications, 3rd Edition

edited by

Sameerah Jamal

submission deadline 20 Mar 2025 | Viewed by 98 | Submission Open

Keywords: fractional order derivatives; fractional calculus; Caputo derivatives; Riemann– Liouville derivatives; numerical analysis; modeling; application

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

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

edited by

Bipan Hazarika

submission deadline 20 Mar 2025 | Viewed by 68 | 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)

Fractal Analysis and Fractal Dimension in Materials Chemistry, 2nd Edition

edited by

Gianina Dobrescu

,

Florica Papa

and

Razvan State

submission deadline 25 Mar 2025 | Viewed by 92 | Submission Open

Keywords: fractal dimension; fractal adsorption isotherms; catalysis; diffusion-limited reactions; fractions

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