Fractal and Fractional

Fractional Differential Equations: Computation and Modelling with Applications

edited by

and

submission deadline 15 Jul 2024 | 8 articles | Viewed by 9749 | 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)

Fractional Calculus and Nonlinear Analysis: Theory and Applications

edited by

Wei-Shih Du

,

Marko Kostić

and

Daniel Velinov

submission deadline 15 Jul 2024 | 4 articles | Viewed by 5144 | 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)

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

edited by

Ivanka Stamova

,

Carla M. A. Pinto

and

Dana Copot

submission deadline 15 Jul 2024 | 2 articles | Viewed by 2568 | 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)

Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics

edited by

Yusuf Gürefe

submission deadline 25 Jul 2024 | 13 articles | Viewed by 17336 | 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)

Caputo Fractional Difference Equations and Its Applications

edited by

Churong Chen

and

Dorota Mozyrska

submission deadline 30 Jul 2024 | Viewed by 368 | Submission Open

Keywords: caputo fractional difference equations; mathematical modeling; stability analysis; numerical methods

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

Recent Advances in Fractional-Order Neural Networks: Theory and Application

edited by

Zhouchao Wei

and Lulu Lu

submission deadline 31 Jul 2024 | 10 articles | Viewed by 29492 | Submission Open

Keywords: fractional calculus; dynamics analysis; biological nervous system; circuit design and simulation; artificial intelligence

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

Advances in Fractal Antennas: Design, Modeling and Applications

edited by

Mihai-Virgil Nichita

and

Viorel-Puiu Paun

submission deadline 31 Jul 2024 | 7 articles | Viewed by 11766 | Submission Open

Keywords: fractal shaped antennas; antenna design; antenna enhancement techniques; integrated communication systems; multifrequency antennas

(This special issue belongs to the Section Engineering)

Application of Fractals in Complex Networks of Engineering and Medicine

edited by

Matej Babič

and

Andrej Srakar

submission deadline 31 Jul 2024 | 4 articles | Viewed by 7980 | Submission Open

Keywords: fractals; complex networks; data mining; complex systems; chaos; engineering; medicine

(This special issue belongs to the Section Engineering)

Recent Advances in the Spatial and Temporal Discretizations of Fractional PDEs

edited by

Xian-Ming Gu

, Hongbin Chen, Shulin Wu and

Xiangcheng Zheng

submission deadline 31 Jul 2024 | 6 articles | Viewed by 7371 | 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 quadrature; modeling and simulations

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

Recent Developments and Applications of Fractional Differential Equations in Mathematical Physics

edited by

Ahmet Bekir

,

Adem Cevikel

and Emad Zahran

submission deadline 31 Jul 2024 | 3 articles | Viewed by 4731 | Submission Open

Keywords: fractional calculus; fractional order derivatives; fractional dynamical systems; exact solutions; numerical analysis; soliton theory; traveling wave solutions; analytical methods; numerical methods; mathematical modeling

(This special issue belongs to the Section Mathematical Physics)

Synchronization and Adaptive Control for Fractional-Order Network Systems

edited by Jinliang Wang, Min Li and Zipeng Wang

submission deadline 31 Jul 2024 | 3 articles | Viewed by 4314 | Submission Open

Keywords: fractional-order neural networks; fractional-order reaction-diffusion neural networks; fractional-order multiagent systems; fractional-order complex networks; stability; synchronization; consensus; formation control

(This special issue belongs to the Section Complexity)

Robust and Adaptive Control of Fractional-Order Systems, 2nd Edition

edited by

Heng Liu

and

Yongping Pan

submission deadline 31 Jul 2024 | 2 articles | Viewed by 2310 | Submission Open

Keywords: fractional-order system; stability analysis; adaptive control; robust control; fractional calculus

(This special issue belongs to the Section Engineering)

Fractional Order Controllers: Design and Applications, 2nd Edition

edited by

Isabela Roxana Birs

,

Cristina I. Muresan

and

Clara Ionescu

submission deadline 31 Jul 2024 | 1 articles | Viewed by 1073 | Submission Open

Keywords: fractional order PID controller; fractional calculus; fractional order control; robust fractional control; fractional order applications

(This special issue belongs to the Section Engineering)

Applications of Fractional-Order Systems to Automatic Control

edited by

Germán Ardúl Muñoz Hernández

and

Fermi Guerrero-Castellanos

submission deadline 15 Aug 2024 | 6 articles | Viewed by 7435 | Submission Open

Keywords: unmanned vehicles; renewable energy; electric power; manufacturing; robotics; automotive control systems; time-delay systems; modeling and control of complex systems

(This special issue belongs to the Section Engineering)

Nonlinear Equations Driven by Fractional Laplacian Operators

edited by

J. Vanterler Da C. Sousa

and Leandro Tavares

submission deadline 15 Aug 2024 | 1 articles | Viewed by 583 | 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)

Theoretical Analysis and Numerical Simulation for Fractional Dynamics and Fractional Calculus

edited by Wei Li, Guidong Yang and Dongmei Huang

submission deadline 15 Aug 2024 | Viewed by 267 | Submission Open

Keywords: fractional calculus; fractional integration; fractional derivative; dynamical systems; stabilization; system response; fractional-order system control.

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

General Fractional Calculus: Theory, Methods and Applications in Mathematical Physics

edited by Yi-Ying Feng and

Jian-Gen Liu

submission deadline 16 Aug 2024 | 6 articles | Viewed by 6332 | Submission Open

Keywords: general fractional calculus theory; general fractional calculus method; general fractional calculus applications; fractional viscoelasticity; fractional dynamical systems; fractional calculus in anomalous diffusion; fractional operator theory and theoretical analysis; new definitions and properties of general fractional calculus; memory and heritability of general fractional calculus

(This special issue belongs to the Section Mathematical Physics)

Advanced Research in Fractal Properties of Nanoparticle and Its Application

edited by

Ivana Stajcic

and Aleksandar P. Stajčić

submission deadline 18 Aug 2024 | 1 articles | Viewed by 704 | Submission Open

Keywords: fractal dimension; surface– property relation; nanoparticles and composites; surface– synthesis/dispersion relation; grain boundary

(This special issue belongs to the Section Mathematical Physics)

Applications of Finite Element Methods for Solving Fractional Partial Differential Equations

edited by Meng Li, Yanmin Zhao and

Yang Liu

submission deadline 20 Aug 2024 | 1 articles | Viewed by 1371 | Submission Open

Keywords: finite element methods; fractional models; finite difference methods; virtual element methods; spectral methods; structure-preserving algorithms

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

Advances in Fractional-Order Multiagent Systems: Theory and Applications

edited by Ping Gong

submission deadline 25 Aug 2024 | 7 articles | Viewed by 8313 | 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)

Analysis of Fractional Stochastic Differential Equations and Their Applications

edited by Zhiguo Luo and Danfeng Luo

submission deadline 30 Aug 2024 | 2 articles | Viewed by 1061 | Submission Open

Keywords: fractional differential equations; stochastic differential equations; delay differential equations; impulsive differential equations; fuzzy differential equations; stability analysis; averaging principle; controllability; averaging principle; existence or uniqueness

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

Fractals in Geology and Geochemistry

edited by

Fan Xiao

, Qiuming Cheng and Frits Agterberg

submission deadline 31 Aug 2024 | 5 articles | Viewed by 6730 | Submission Open

(This special issue belongs to the Section Engineering)

Numerical Solutions of Caputo-Type Fractional Differential Equations and Derivatives

edited by Phumlani Dlamini and Simphiwe Simelane

submission deadline 31 Aug 2024 | 6 articles | Viewed by 4214 | 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)

Fractional Modelling, Analysis and Control for Power System

edited by

Sunhua Huang

,

Jie Wang

, Xin Li, Bin Wang and Yang Zhou

submission deadline 31 Aug 2024 | 3 articles | Viewed by 3726 | Submission Open

(This special issue belongs to the Section Engineering)

Fractal and Multifractal Analyses in Financial Markets and Economics, 2nd Edition

edited by

Jae Wook Song

submission deadline 31 Aug 2024 | 2 articles | Viewed by 1987 | Submission Open

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

Fractal and Fractional in Geotechnical Engineering

edited by Shaoheng He, Zhi Ding and

Panpan Guo

submission deadline 1 Sep 2024 | 8 articles | Viewed by 9369 | 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)

Fractal Analysis in Biology and Medicine

edited by

Ivan Zaletel

submission deadline 1 Sep 2024 | Viewed by 290 | Submission Open

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

Applications of Fractional-Order Grey Models

edited by Shuli Yan and

Lifeng Wu

submission deadline 15 Sep 2024 | 6 articles | Viewed by 6306 | Submission Open

Keywords: fractional-order; grey model; prediction; algorithm; application

(This special issue belongs to the Section Engineering)

Fracture Analysis of Materials Based on Fractal Nature

edited by

Luis Eduardo Kosteski

, Leandro Ferreira Friedrich and

Jie Xu

submission deadline 15 Sep 2024 | Viewed by 276 | Submission Open

Keywords: size effect; fracture; damage; experimental analysis; acoustic emission; numerical simulations

(This special issue belongs to the Section Engineering)

Fractional Order Systems with Application to Electrical Power Engineering, 2nd Edition

edited by

Arman Oshnoei

and Mahdieh S. Sadabadi

submission deadline 20 Sep 2024 | 6 articles | Viewed by 4380 | Submission Open

Keywords: fractional-order systems; distributed energy resources; energy storage systems; multi-energy systems; power electronic systems; power converters; renewable energy systems; artificial intelligence; stability analysis; intelligent control; fractional calculus; reliability and resilience

(This special issue belongs to the Section Engineering)

Fractional Calculus in the Design, Control and Implementation of Complex Systems

edited by

Miguel A. Platas-Garza

,

Cornelio Posadas-Castillo

and

Ernesto Zambrano-Serrano

submission deadline 26 Sep 2024 | 5 articles | Viewed by 7165 | Submission Open

Keywords: fractional calculus; chaotic systems; complex networks; variable order calculus; mathematical modeling; control theory; complexity; circuit implementation; chaos based cryptography; neural networks; identification and modeling; signal processing; complexity measures; chaos theory; applied mathematics

(This special issue belongs to the Section Complexity)

Fractional Mathematical Modelling: Theory, Methods and Applications

edited by Faranak Rabiei,

Dongwook Kim

and

Zeeshan Ali

submission deadline 30 Sep 2024 | 5 articles | Viewed by 7628 | Submission Open

Keywords: fractional differential and integral equations; new fractional operators and their properties; existence and uniqueness of solutions; analytical and numerical methods; stability analysis; fractional calculus in physics; fractional dynamics in complex systems; applications to science and engineering

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

Mathematical and Fractional-Order Modeling for Infectious and Non-Infectious Diseases

edited by

Chidozie Williams Chukwu

and

Fatmawati Fatmawati

submission deadline 30 Sep 2024 | 3 articles | Viewed by 3956 | Submission Open

Keywords: mathematical modeling; fractional modeling; simulation; data analysis; disease modeling; optimal control

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

Mittag-Leffler Function: Generalizations and Applications

edited by

Juan Luis González-Santander

submission deadline 30 Sep 2024 | 2 articles | Viewed by 1810 | Submission Open

Keywords: the Mittag-Leffler function in fractional calculus; the analytical properties of the Mittag-Leffler function; the mittag-leffler function in physical models; generalizations and extensions of the Mittag-Leffler function; the mittag-leffler function’ s connection to other special functions; applications of the Mittag-Leffler function in engineering problems; applications of the Mittag-Leffler function in mathematical problems

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

Fractional-Order Approaches in Automation: Models and Algorithms

edited by

Abraham Efraim Rodriguez Mata

,

Jesús Alfonso Medrano-Hermosillo

and Pablo Antonio López-Pérez

submission deadline 30 Sep 2024 | Viewed by 745 | Submission Open

Keywords: fractional-order systems; fractional-order control systems; fractional filtering; geometric interpretation of fractional-order calculus; system identifications; fractional derivatives; neural networks using fractional-order calculus

(This special issue belongs to the Section Engineering)

Fractal and Fractional in Construction Materials

edited by

Shengwen Tang

and

Lei Wang

submission deadline 30 Sep 2024 | 1 articles | Viewed by 593 | Submission Open

Keywords: construction materials; fractal and fractional; mechanical performance; fractal theory; experiment; transportation; durability

(This special issue belongs to the Section Engineering)

Fractal Dynamics and Machine Learning in Financial Markets

edited by David Alaminos

submission deadline 30 Sep 2024 | Viewed by 375 | Submission Open

Keywords: financial markets; speculation; fractal analysis; fractional dynamics; asset pricing; machine learning; risk management; volatility; algorithmic trading; corporate finance

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

New Developments in Tracking and Stabilization of Fractional-Order Systems

edited by Sakthivel Ramalingam and Parivallal Arumugam

submission deadline 30 Sep 2024 | Viewed by 264 | 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)

Delayed and Stochastic Fractional Order Dynamical Systems: Theory, Numerical Methods, Control, and Applications

edited by Andreas Basse-O'Connor, Ahmadreza Haghighi,

Hossein Jafari

and

Majid Roohi

submission deadline 30 Sep 2024 | Viewed by 251 | Submission Open

Keywords: fractional calculus; delayed systems; stochastic processes; control strategies; stability analysis; signal processing; robotics; biomedical engineering; renewable energy; communication networks; economics; finance; interdisciplinary research; electrical circuits; mechanical systems; process optimization biomedical modeling

Modeling and Control of Fractal and Fractional Dynamical Systems in Neurological Disorders

edited by

Ricardo Zavala-Yoé

,

Jorge Mario Cruz-Duarte

and Porfirio Toledo Hernández

submission deadline 30 Sep 2024 | Viewed by 173 | Submission Open

Keywords: neurological disorders; fractal analysis; entropy applications; neurological disorders; fractional dynamical systems

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

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 12156 | 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 208 | 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 8571 | 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 158 | 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 119 | 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 6569 | 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 | 2 articles | Viewed by 5211 | 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)

Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application

edited by

Wenying Feng

submission deadline 31 Oct 2024 | 4 articles | Viewed by 4685 | Submission Open

Keywords: existence and positivity of solutions; uniqueness and multiplicity of solutions; stability and equilibrium; fixed point methods and applications; modeling with FDEs; numerical solutions; neural networks and FDEs; eigenvalue problems; fractional q-differential equations

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

Fractional Diffusion, Multistability and Control in Complex Systems

edited by Mingshu Peng

submission deadline 31 Oct 2024 | 3 articles | Viewed by 3185 | 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 2662 | Submission Open

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