Fractal and Fractional

New Challenges Arising in Engineering Problems with Fractional and Integer Order III

edited by

Haci Mehmet Baskonus

,

Luis Manuel Sánchez Ruiz

and

Armando Ciancio

submission deadline 30 Sep 2023 | 6 articles | Viewed by 6523 | Submission Open

(This special issue belongs to the Section Engineering)

New Trends on Generalized Fractional Calculus

edited by

Milton Ferreira

,

Maria Manuela Fernandes Rodrigues

and

Nelson Felipe Loureiro Vieira

submission deadline 30 Sep 2023 | 7 articles | Viewed by 5667 | 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)

Fractional Diffusion Equations: Numerical Analysis, Modeling and Application

edited by

Boying Wu

and Xiuying Li

submission deadline 30 Sep 2023 | 5 articles | Viewed by 4974 | Submission Open

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

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

Fractional Gravity/Cosmology in Classical and Quantum Regimes

edited by

Seyed Meraj Mousavi Rasouli

and

Shahram Jalalzadeh

submission deadline 30 Sep 2023 | 2 articles | Viewed by 3178 | Submission Open

Keywords: fractional calculus; fractional derivatives; Riesz fractional operator; Caputo fractional operator; fractional Brownian motion; Lé vy path integrals; fractional action-like variational approach; fractional quantum mechanics; fractional classical cosmology; fractional quantum cosmology; non-local operators

(This special issue belongs to the Section Mathematical Physics)

Abstract Fractional Differential Inclusions

edited by

Marko Kostić

and

Wei-Shih Du

submission deadline 30 Sep 2023 | 3 articles | Viewed by 2145 | Submission Open

Keywords: abstract volterra integro-differential inclusions; abstract fractional integro-differential inclusions; scalar fractional integro-differential inclusions; almost periodic type solutions of abstract fractional integro-differential inclusions; chaotic solutions of abstract fractional integro-differential inclusions; fractional calculus

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

Fractional Calculus in Applied Mechanics

edited by

Konstantinos A. Lazopoulos

submission deadline 30 Sep 2023 | 1 articles | Viewed by 656 | Submission Open

(This special issue belongs to the Section Engineering)

Observability and Observer Design of Fractional-Order Nonlinear Systems

edited by

Guillermo Fernández-Anaya

,

Oscar Martínez-Fuentes

and

Aldo Jonathan Muñoz-Vazquez

submission deadline 30 Sep 2023 | Viewed by 401 | Submission Open

Keywords: nonlinear observers; fractional differential equations; generalized calculus; observer theory; fault detection; synchronization; observer-based controllers

(This special issue belongs to the Section Mathematical Physics)

New Trends on Fractional Quantum Hall Effects and Applications

edited by

Leonid Kulik

submission deadline 30 Sep 2023 | Viewed by 142 | Submission Open

(This special issue belongs to the Section Mathematical Physics)

Fractal Analysis for Remote Sensing Data

edited by

Mihai Ivanovici

submission deadline 20 Oct 2023 | 1 articles | Viewed by 1449 | Submission Open

(This special issue belongs to the Section Engineering)

Fractal and Fractional Analysis in Biomedical Sciences and Engineering

edited by

Andjelija Ž. Ilić

submission deadline 20 Oct 2023 | 2 articles | Viewed by 1394 | 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)

Fractal Geometries with Applications in Materials

edited by

Sergio Castiñeira-Ibáñez

,

Daniel Tarrazó-Serrano

and

Constanza Rubio Michavila

submission deadline 21 Oct 2023 | 2 articles | Viewed by 2479 | Submission Open

(This special issue belongs to the Section Geometry)

Feature Papers for the 'Complexity' Section

edited by

António Lopes

submission deadline 22 Oct 2023 | 2 articles | Viewed by 1288 | Submission Open

(This special issue belongs to the Section Complexity)

Fractional Behaviors Analysis and Modelling

edited by

Jocelyn Sabatier

submission deadline 31 Oct 2023 | 4 articles | Viewed by 6847 | Submission Open

Keywords: Fractional behaviors; Modeling; Volterra equations; Non-singular kernels; Non-linear models; Time-varying models; Partial differential equations; Fractal

(This special issue belongs to the Section Engineering)

Recent Advances in Fractional Fourier Transforms and Applications

edited by

Zunwei Fu

,

Bingzhao Li

and

Xiangyang Lu

submission deadline 31 Oct 2023 | 7 articles | Viewed by 5506 | 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)

Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition

edited by

Rodica Luca

submission deadline 31 Oct 2023 | 7 articles | Viewed by 4665 | Submission Open

Keywords: fractional differential equations; fractional differential inclusions; fractional differential inequalities; initial value problems; boundary value problems; existence; nonexistence; uniqueness; multiplicity; stability; numerical computations

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

Recent Advances in Fractional Laplacian Problems

edited by

Yun-Ho Kim

submission deadline 31 Oct 2023 | 2 articles | Viewed by 2002 | Submission Open

Keywords: fractional differential equations; fractional Sobolev spaces; variable exponent elliptic operator; fractional Laplacian problems with the external magnetic field; variational methods; critical growth; concentration– compactness principle

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

Advances in Nonlinear Functional Analysis on Fractional Differential Equations

edited by

Bipan Hazarika

submission deadline 31 Oct 2023 | 2 articles | Viewed by 1353 | 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; function spaces; nonlinear functionals and variational methods; nonlinear operators

(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 31 Oct 2023 | 2 articles | Viewed by 1184 | 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 Differential Operators with Classical and New Memory Kernels

edited by

Dimiter Prodanov

and

Jordan Hristov

submission deadline 31 Oct 2023 | 1 articles | Viewed by 714 | 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)

Inverse Problems for Fractional Differential Equations

edited by

Jorge Mario Cruz-Duarte

submission deadline 31 Oct 2023 | Viewed by 287 | Submission Open

Keywords: inverse problems; fractional differential equations; fractional derivatives; non-integer derivatives; fractional models; chaotic systems; time-fractional diffusion; spatial-fractional diffusion; non-linear fractional differential equations; pseudo-differential equations; fractional reactions

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

Applications of Fractional Calculus in Modelling of Viscoelastic Systems

edited by

Botong Li

and

Xuehui Chen

submission deadline 31 Oct 2023 | Viewed by 112 | Submission Open

Keywords: fractional differential equations; mathematical modelling and real-world applications; numerical methods and analysis; complex systems; fractional calculus

(This special issue belongs to the Section Mathematical Physics)

Stochastic Dynamics for SDE or SPDE with Fractional Brownian Motion

edited by

Caibin Zeng

submission deadline 10 Nov 2023 | Viewed by 175 | Submission Open

Keywords: fractional Brownian motion; rough paths theory; random attractors; invariant manifolds; average principle

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

Novel and Innovative Methods for Fractional-Order Epidemic Model

edited by

Anwarud Din

and

Yongjin Li

submission deadline 15 Nov 2023 | 1 articles | Viewed by 882 | Submission Open

Keywords: differential equations; stochastic differential equations; fractional differential equations; deterministic and stochastic models of infectious diseases; fractional models of infectious diseases

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

Recent Developments on Linear and Nonlinear Fractional-Order Systems: Theory and Application

edited by

Mathiyalagan Kalidass

and

Huiyan Zhang

submission deadline 25 Nov 2023 | 6 articles | Viewed by 4271 | Submission Open

Keywords: fractional-order models; qualitative theory; dynamical systems; optimization techniques; control design; stochastic systems

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

Women’s Special Issue Series: Fractal and Fractional

edited by

Ivanka Stamova

,

Carla M.A. Pinto

and

Dana Copot

submission deadline 26 Nov 2023 | 8 articles | Viewed by 11666 | 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; Fractals 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)

Feature Papers for the 'General Mathematics, Analysis' Section

edited by

Ivanka Stamova

and

Gani Stamov

submission deadline 26 Nov 2023 | 7 articles | Viewed by 6181 | Submission Open

Keywords: fractional derivatives; fractional operators and transforms; fractional inclusions; fractals; fractional-order systems; boundary value problems; existence and uniqueness; fixed point theory; qualitative analysis; analytical solutions; discrete fractional calculus; stochastic fractional calculus; fractional inequalities; approximations; modeling and applications

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

Applications of Iterative Methods in Solving Nonlinear Equations

edited by

Francisco I. Chicharro

,

Neus Garrido

and

Paula Triguero-Navarro

submission deadline 30 Nov 2023 | 10 articles | Viewed by 10818 | 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)

Fractional Order Systems with Application to Electrical Power Engineering

edited by

Arman Oshnoei

and

Behnam Mohammadi-Ivatloo

submission deadline 30 Nov 2023 | 8 articles | Viewed by 8510 | Submission Open

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

(This special issue belongs to the Section Engineering)

Advances in Nonlinear Dynamics: Theory, Methods and Applications

edited by Golan Bel

submission deadline 30 Nov 2023 | 6 articles | Viewed by 5365 | Submission Open

Keywords: pattern formation; multi-stability; nonlinear interactions– disorder interplay; instabilities; bifurcations; chaos

(This special issue belongs to the Section Mathematical Physics)

State-of-the-Art in Fractional-Order Neural Networks: Theory, Design and Applications

edited by

Changjin Xu

,

Maoxin Liao

and

Peiluan Li

submission deadline 30 Nov 2023 | 7 articles | Viewed by 5308 | Submission Open

Keywords: fractional-order neural networks; fractional-order controllers; chaos control; synchronization; stability; fractional dynamics

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

Recent Advances in Fractional Evolution Equations and Related Topics

edited by Gaston M. N'Guérékata,

Mouffak Benchohra

and

Abdelkrim Salim

submission deadline 30 Nov 2023 | 6 articles | Viewed by 5288 | Submission Open

Keywords: fractional evolution equation; mild solution; fixed point; Banach space; measure of noncompactness; semi-group of linear operators; controllability; stability

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

Physical Phenomena on Fractals and in Fractional Dimension Spaces

edited by

Alexander S. Balankin

and

Didier Samayoa Ochoa

submission deadline 30 Nov 2023 | 6 articles | Viewed by 4798 | Submission Open

Keywords: fractals; fractional dimension space; fractal continuum; Hurst exponent; percolation; fractal dynamics; fractal mechanics; wave phenomena; time series; anomalous diffusion

(This special issue belongs to the Section Mathematical Physics)

Recent Developments on Mathematical Models of Deadly Disease

edited by

Sunil Kumar

and

Shaher Momani

submission deadline 30 Nov 2023 | 4 articles | Viewed by 3376 | Submission Open

Keywords: fractional calculus; fractional-order disease models; fractional derivative; stability analysis; nonlinear systems; network modeling

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

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

edited by

Lanre Akinyemi

and

Mehmet Senol

submission deadline 30 Nov 2023 | 3 articles | Viewed by 2440 | 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 Fractal and Fractional Calculus Theory and Its Applications

edited by

Aboutrab A. Aliverdiev

,

Jordan Hristov

and

Vetlugin Beibelaev

submission deadline 30 Nov 2023 | 1 articles | Viewed by 1021 | Submission Open

Keywords: fractional calculus; memory kernels; non-locality and hereditary effects; transient phenomena with hereditary; fractional operator applications; epidemiological challenges and contemporary issues related to pandemics; environmental hereditary

(This special issue belongs to the Section Complexity)

Applications of Fractal Approaches in Seismology and Atmospheric Science

edited by

Dimitrios Nikolopoulos

submission deadline 30 Nov 2023 | 1 articles | Viewed by 568 | Submission Open

Keywords: fractals; self-organised systems; nonlinear dynamics and chaos; radon; electromagnetism; urban air pollution; earthquakes; modelling and simulation; data analysis: algorithms and implementation; data management

(This special issue belongs to the Section Mathematical Physics)

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 Nov 2023 | Viewed by 501 | 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)

Spectral Methods for Fractional Functional Models

edited by

,

,

and

submission deadline 30 Nov 2023 | 1 articles | Viewed by 473 | Submission Open

Keywords: spectral methods for fractional partial differential equations; spectral methods for fractional integral equations; spectral methods for integro-differential equations involving fractional operators; spectral methods for systems of fractional differential equations

(This special issue belongs to the Section Mathematical Physics)

Multifractals, Turbulence and Complexity in Geoscience and Space Science

edited by

Tommaso Alberti

, Davide Faranda and

Simone Benella

submission deadline 1 Dec 2023 | 7 articles | Viewed by 6537 | Submission Open

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

(This special issue belongs to the Section Complexity)

Fractals in Geology and Geochemistry

edited by

Fan Xiao

, Qiuming Cheng and Frits Agterberg

submission deadline 1 Dec 2023 | Viewed by 159 | Submission Open

(This special issue belongs to the Section Engineering)

Advances in Fractional Order Systems and Robust Control

edited by

Feng Liu

submission deadline 10 Dec 2023 | 7 articles | Viewed by 6017 | Submission Open

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

(This special issue belongs to the Section Engineering)

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

edited by

Chidozie Williams Chukwu

and

Fatmawati Fatmawati

submission deadline 20 Dec 2023 | 1 articles | Viewed by 809 | Submission Open

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

(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 Dec 2023 | 9 articles | Viewed by 12708 | 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)

Feature Papers in Fractal and Fractional 2022–2023

edited by

Ricardo Almeida

submission deadline 31 Dec 2023 | 11 articles | Viewed by 10067 | Submission Open

Keywords: fractal and fractional problems in mathematics; fractal and fractional problems in computer science; fractal and fractional problems in physics; fractal and fractional problems in chemistry; fractal and fractional problems in engineering applications; fractal and fractional problems in biology and life science; fractal and fractional problems in business and economics

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

Numerical Simulations and Advanced Techniques for Nonlinear Fractional Evolution Models

edited by

,

,

and

submission deadline 31 Dec 2023 | 10 articles | Viewed by 9802 | Submission Open

Keywords: nonlinear fractional order models; fractional initial and boundary value problems; fractional evolution models; fractional operators; fluid flow problems; optical solutions; fractional wave equations; fractional dynamics; stability analysis; fractional difference problems

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

Applications of Fractional-Order Calculus in Robotics

edited by

Abhaya Pal Singh

and

Kishore Bingi

submission deadline 31 Dec 2023 | 7 articles | Viewed by 8042 | Submission Open

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

(This special issue belongs to the Section Engineering)

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

edited by

Jin-Xi Zhang

,

Xuefeng Zhang

, Driss Boutat and

Da-Yan Liu

submission deadline 31 Dec 2023 | 5 articles | Viewed by 2888 | 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)

Advances in Fractional Modeling and Computation

edited by

,

,

and

submission deadline 31 Dec 2023 | 3 articles | Viewed by 2481 | 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)

Fractional Calculus and Nonlinear Analysis: Theory and Applications

edited by

Wei-Shih Du

,

Marko Kostić

and

Daniel Velinov

submission deadline 31 Dec 2023 | 2 articles | Viewed by 1757 | 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)

Fractal Theory and Models in Nonlinear Dynamics and Their Applications

edited by

Luis Manuel Palacios-Pineda

and

Oscar Martínez-Romero

submission deadline 31 Dec 2023 | 3 articles | Viewed by 1577 | Submission Open

(This special issue belongs to the Section Mathematical Physics)

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