General Mathematics, Analysis
A section of Fractal and Fractional (ISSN 2504-3110).
Section Information
General Mathematics, Analysis is a Section of the journal Fractal and Fractional, which publishes advanced theoretical articles and practical applications on the topic of general fractional calculus, fractional-order derivatives and integrals, mathematical analysis, and their applications.
The subject of fractional-order differential and integral operators has gained considerable popularity, interest and importance, due mainly to its demonstrated applications to many real-world phenomena studying in physics, mechanics, chemistry, engineering, finance, etc. The basic ideas and methods of fractional calculus are well-established topics and basic tools in the theory and applications of numerous differential and integral equations. The main focus of the Section is to present the improvement, extensions, and generalizations of the classical mathematical analysis related to the main scope of the journal with specific interest to applications.
Keywords
- Foundations of fractional analysis
- Fractional-order derivatives and integrals
- Fractional transforms
- Special functions
- Linear and nonlinear fractional analysis
- Fractional integral inequalities
- Fractional differential inequalities
- Fractional continuous models
- Fractional piecewise continuous models
- Dynamical systems based on fractional calculus
- Fractional differential equations
- Fractional integral equations
- Fractional functional–differential equations
- Fractional partial differential equations
- Fractional analysis applications
- Numerical analysis
Editorial Board
Topical Advisory Panel
Special Issues
Following special issues within this section are currently open for submissions:
- Abstract Fractional Differential Inclusions (Deadline: 30 September 2023)
- Fractional Diffusion Equations: Numerical Analysis, Modeling and Application (Deadline: 30 September 2023)
- Recent Advances in Fractional Laplacian Problems (Deadline: 31 October 2023)
- Fractional Differential Equations: Computation and Modelling with Applications (Deadline: 31 October 2023)
- Inverse Problems for Fractional Differential Equations (Deadline: 31 October 2023)
- Recent Advances in Fractional Fourier Transforms and Applications (Deadline: 31 October 2023)
- Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition (Deadline: 31 October 2023)
- Advances in Nonlinear Functional Analysis on Fractional Differential Equations (Deadline: 31 October 2023)
- Fractional Differential Operators with Classical and New Memory Kernels (Deadline: 31 October 2023)
- Recent Developments on Linear and Nonlinear Fractional-Order Systems: Theory and Application (Deadline: 25 November 2023)
- Feature Papers for the 'General Mathematics, Analysis' Section (Deadline: 26 November 2023)
- Recent Developments on Mathematical Models of Deadly Disease (Deadline: 30 November 2023)
- Recent Advances in Fractional Evolution Equations and Related Topics (Deadline: 30 November 2023)
- Applications of Iterative Methods in Solving Nonlinear Equations (Deadline: 30 November 2023)
- Mathematical and Fractional-Order Modeling for Infectious and Non-Infectious Diseases (Deadline: 20 December 2023)
- Nonlinear Fractional Differential Equation and Fixed-Point Theory (Deadline: 31 December 2023)
- Feature Papers in Fractal and Fractional 2022–2023 (Deadline: 31 December 2023)
- Recent Advances in Fractional-Order Neural Networks: Theory and Application (Deadline: 31 December 2023)
- Fractional Differential Equations in Anomalous Diffusion, 2nd Edition (Deadline: 31 December 2023)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 31 December 2023)
- Recent Advances in Fractal Interpolation Functions and Their Applications in AI (Deadline: 15 January 2024)
- Applications of Finite Element Methods for Solving Fractional Partial Differential Equations (Deadline: 31 January 2024)
- Advances in Variable-Order Fractional Calculus and Its Applications (Deadline: 31 January 2024)
- New Trends on Fixed Point Theory: On a Fractal and Fractional Perspective (Deadline: 31 January 2024)
- Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application (Deadline: 31 January 2024)
- Variational Problems and Fractional Differential Equations (Deadline: 15 February 2024)
- Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation (Deadline: 20 February 2024)
- Advances in Fractional Dynamical and Control Problems with Nonlocal Operators (Deadline: 25 February 2024)
- Fractional Diffusion, Multistability and Control in Complex Systems (Deadline: 15 March 2024)
- Symmetry and Solutions of Fractional Differential Equations with Their Developments (Deadline: 15 March 2024)
- Mathematical Inequalities in Fractional Calculus and Applications (Deadline: 31 March 2024)
- Application of Fractal Processes and Fractional Derivatives in Finance, 2nd Edition (Deadline: 31 March 2024)
- Analysis and Control of Fractional-Order Delay Coupling Networks (Deadline: 15 April 2024)
- Metric Spaces with Its Application to Fractional Differential Equations (Deadline: 19 April 2024)
- New Insights and Trends in Fractional-Order Dynamical Networks, Their Control and Synchronization (Deadline: 31 May 2024)
- Application of Fractional Calculus as an Interdisciplinary Modeling Framework, 2nd Edition (Deadline: 30 June 2024)
- Fractional Integral Inequalities and Applications, 2nd Edition (Deadline: 30 June 2024)
- Recent Advances in Fractional-Order Time Delay Systems (Deadline: 30 June 2024)
- Fractal and Multifractal Analyses in Financial Markets and Economics, 2nd Edition (Deadline: 31 August 2024)
