Fractal and Fractional

Symmetry and Solutions of Fractional Differential Equations with Their Developments

edited by Lihong Zhang,

Ravi P. Agarwal

,

Bashir Ahmad

and

Guotao Wang

submission deadline 15 Oct 2024 | 9 articles | Viewed by 14392 | Submission Open

Keywords: nonlinear fractional ordinary (partial) differential equations and applications; nonlinear problem involving fractional Laplacian operators and their variants; nonlinear Hammerstein equations involving fractional operators; nonlocal Monge– Ampere equation and its extensions; nonlocal operators; symmetries; and applications; geometrical methods for problems of mathematical physics; geometrical analysis and differential equations; monotonicity of solutions to various differential equations; existence and uniqueness of solutions to differential equations; symmetry of solutions to differential equations

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

Iterative Methods in Solving Nonlinear Equations Based on Fractal and Fractional Perspective

edited by

Neus Garrido

,

Francisco I. Chicharro

and

Paula Triguero-Navarro

submission deadline 20 Oct 2024 | Viewed by 328 | Submission Open

Keywords: iterative methods; stability theory; methods with memory; simultaneous roots; multiple roots; fractional derivatives; fractal dimension; nonlinear dynamics; mathematical modelling

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

Bifurcation, Chaos, and Fractals in Fractional-Order Electrical and Electronic Systems

edited by Faqiang Wang,

Shaobo He

and Hongbo Cao

submission deadline 25 Oct 2024 | 6 articles | Viewed by 9989 | Submission Open

Keywords: bifurcation and its control; chaos and its control; fractals and their control; fractional-order inductor/capacitor; fractional-order memristor/meminductor/memcapacitor; fractional-order circuits and systems; fractional-order electrical and electronic systems; multi-timescale and entropy analysis; fractional calculus applications

(This special issue belongs to the Section Complexity)

Fractal Theory in Cement-Based Materials: Investigations and Applications

edited by

Junjie Wang

,

Yongliang Liu

and Mulan Mu

submission deadline 30 Oct 2024 | Viewed by 243 | Submission Open

Keywords: fractal theory; cement-based materials; crack shape; tortuosity; physical properties; pore structure; microstructure

(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 30 Oct 2024 | Viewed by 222 | Submission Open

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

Fractional Differential Operators with Classical and New Memory Kernels

edited by

Dimiter Prodanov

and

Jordan Hristov

submission deadline 31 Oct 2024 | 6 articles | Viewed by 7582 | Submission Open

Keywords: fractional operators; memory kernels; biomechanical and medical models; analysis; special functions and kernels; numerical and computational methods; analytical solution methods: exact and approximate; modeling approaches with nonlocal (fractional) operators; probability and statistics based on non-local approaches; mathematical physics: heat; mass and momentum transfer; engineering applications and image processing; life science; biophysics and complexity

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

Complexity, Fractality and Fractional Dynamics Applied to Science and Engineering

edited by Alexandra M.S.F. Galhano,

Sergio Adriani David

and

António Lopes

submission deadline 31 Oct 2024 | 4 articles | Viewed by 6906 | Submission Open

Keywords: fractional-order systems; memory; econophysics; time series; finance; economics; big data; complex systems; biosystems; fractals

(This special issue belongs to the Section Complexity)

Fractional Diffusion, Multistability and Control in Complex Systems

edited by Mingshu Peng

submission deadline 31 Oct 2024 | 3 articles | Viewed by 3644 | Submission Open

Keywords: turing instability; multistability; bifurcation; chaos; fractal differential equations; complexity; mathematical modelling; control; critical point theory; boundary value problem; stability; delay; diffusion; pattern formation; spatio-temporal behavior; related practical problem

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

Fractal Systems and Associated Properties as Well as Integrable Systems

edited by

Yufeng Zhang

submission deadline 31 Oct 2024 | 2 articles | Viewed by 3007 | Submission Open

Fractional Fourier Transform and Its Applications in Signal Analysis

edited by Yuan-Min Li and Deyun Wei

submission deadline 31 Oct 2024 | 2 articles | Viewed by 2697 | Submission Open

Keywords: fractional Fourier transform; linear canonical transform; sparse fractional Fourier transform; graph fractional Fourier transform; fast Fourier transform; sampling theory; convolution and filtering; digital signal processing

Fractional Differential Equations: Advanced Results for Cases with Singularities

edited by Suzana Aleksić, Sladjana Dimitrijević and Tatjana Tomović Mladenović

submission deadline 31 Oct 2024 | 1 articles | Viewed by 1378 | Submission Open

Keywords: fractional differential equations; caputo fractional derivative; caputo fractional integral; riemann– liouville fractional derivative; singular mixed problem; singular; initial value problems; boundary value problems; positive solution; existence and nonexistence; uniqueness and multiplicity; stability; regularization; numerical computations; fixed point theory on cones

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

Nonlinear Equations Driven by Fractional Laplacian Operators

edited by

J. Vanterler Da C. Sousa

and Leandro Tavares

submission deadline 31 Oct 2024 | 2 articles | Viewed by 1348 | Submission Open

Keywords: fractional equations; critical point theory; monotonic arguments; topological methods; fixed point; Ψ – Hilfer fractional derivative; existence and uniqueness; continuous dependence of solutions; successive approximations; Mittag– Leffler function; generalized Mittag– Leffler function

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

Analysis and Modeling of Fractional-Order Dynamical Networks

edited by Wang Fei and

Feifei Du

submission deadline 31 Oct 2024 | 2 articles | Viewed by 1214 | 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)

Fractal and Fractional in Geotechnical Engineering

edited by Shaoheng He, Zhi Ding and

Panpan Guo

submission deadline 20 Nov 2024 | 9 articles | Viewed by 11840 | 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)

Modern Methods for Fractal and Multifractal Analysis of Time Series: Theoretical Frameworks and Practical Applications

edited by

Lyudmyla Kirichenko

submission deadline 25 Nov 2024 | 6 articles | Viewed by 6228 | Submission Open

Keywords: fractal/multifractal analysis; self-similarity; time series; long-term memory; scaling properties; artificial intelligence; applications

(This special issue belongs to the Section Complexity)

Application of Fractal Processes and Fractional Derivatives in Finance, 2nd Edition

edited by

Leung Lung Chan

submission deadline 25 Nov 2024 | 2 articles | Viewed by 2214 | Submission Open

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)

Advances in Fractional Dynamical and Control Problems with Nonlocal Operators

edited by Arman Dabiri and

Behrouz Parsa Moghaddam

submission deadline 25 Nov 2024 | 1 articles | Viewed by 1330 | 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)

Fractional Order Complex Systems: Advanced Control, Intelligent Estimation and Reinforcement Learning Image Processing Algorithms

edited by

Jinxi Zhang

,

Xuefeng Zhang

, Driss Boutat and

Dayan Liu

submission deadline 30 Nov 2024 | 11 articles | Viewed by 12501 | Submission Open

Keywords: image processing; image fusion; image denoising; image enhancement; analysis and control of fractional systems; singular fractional systems; intelligent fractional control; high-performance control; non-asymptotic fractional state estimation; fractional numerical solution and simulation

(This special issue belongs to the Section Engineering)

Nonlinear Fractional Differential Equation and Fixed-Point Theory

edited by

Mujahid Abbas

and

Talat Nazir

submission deadline 30 Nov 2024 | 6 articles | Viewed by 8660 | Submission Open

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

Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs

edited by

Zine El Abiddine Fellah

, Jizhen Zhang and Quanzhong Guan

submission deadline 30 Nov 2024 | 7 articles | Viewed by 6572 | Submission Open

Keywords: pore structure; pore heterogeneity; complexity; fractal characteristics; microstructures; fractal cracks

(This special issue belongs to the Section Complexity)

Advances in Fractional Differential Operators and Their Applications, 2nd Edition

edited by

Angelo B. Mingarelli

,

Leila Gholizadeh Zivlaei

and

Mohammad Dehghan

submission deadline 30 Nov 2024 | 3 articles | Viewed by 2933 | Submission Open

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)

Stochastic and Fractional Differential Equations: Attractor, Invariant Measure and Their Relationship

edited by Dingshi Li and Chunmei Zhang

submission deadline 30 Nov 2024 | 2 articles | Viewed by 2849 | Submission Open

Keywords: random dynamical system; stochastic differential equation; fractional differential equation; random attractor; invariant measures; random fractional

(This special issue belongs to the Section Mathematical Physics)

Applications of Fractional-Order Tools in Engineering Technology and Physical Processes

edited by

Aldo Jonathan Muñoz–Vázquez

,

Guillermo Fernández-Anaya

,

Salah Mahmoud Boulaaras

and

Moussa Labbadi

submission deadline 30 Nov 2024 | 1 articles | Viewed by 2027 | Submission Open

Keywords: fractional calculus; robotic systems; fractional neural networks; fractional fuzzy logics; synchronization of fractional systems; fractional PID; fractional sliding mode control

(This special issue belongs to the Section Engineering)

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

edited by

Boying Wu

and Xiuying Li

submission deadline 30 Nov 2024 | Viewed by 254 | 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 4768 | 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 3232 | 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 | 16 articles | Viewed by 18862 | 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 7669 | 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 | 4 articles | Viewed by 3849 | 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 3236 | 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 | 10 articles | Viewed by 16191 | 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 | 12 articles | Viewed by 15092 | 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)

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 | 10 articles | Viewed by 8577 | 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)

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 8417 | Submission Open

(This special issue belongs to the Section Mathematical Physics)

Variational Problems and Fractional Differential Equations

edited by Zhisu Liu and Yu Su

submission deadline 31 Dec 2024 | 7 articles | Viewed by 6623 | 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 | 5 articles | Viewed by 5682 | 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)

Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis

edited by

Gheorghe Oros

and

Georgia Irina Oros

submission deadline 31 Dec 2024 | 4 articles | Viewed by 3189 | 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)

Heat Transfer and Diffusion Processes in Fractal Domains

edited by Qingyong Zhu

submission deadline 31 Dec 2024 | 2 articles | Viewed by 2851 | Submission Open

(This special issue belongs to the Section Engineering)

Complex Dynamics and Multifractal Analysis of Financial Markets

edited by Leonardo Henrique Silva Fernandes and

Benjamin Miranda Tabak

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

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

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

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 2198 | Submission Open

(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 1478 | 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)

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

edited by

Maja Andrić

submission deadline 31 Dec 2024 | 1 articles | Viewed by 1053 | 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)

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 569 | Submission Open

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

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

edited by

Amar Debbouche

submission deadline 31 Dec 2024 | Viewed by 260 | 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 164 | 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 | 1 articles | Viewed by 630 | Submission Open

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

(This special issue belongs to the Section Complexity)

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 | 1 articles | Viewed by 583 | 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)

Fractal and Fractional in Geomaterials, 2nd Edition

edited by Yifei Sun

submission deadline 15 Jan 2025 | 1 articles | Viewed by 531 | Submission Open

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

(This special issue belongs to the Section Engineering)

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 | 3 articles | Viewed by 3474 | 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 153 | 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)

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