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:
- Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation (Deadline: 20 December 2024)
- Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis (Deadline: 31 December 2024)
- Variational Problems and Fractional Differential Equations (Deadline: 31 December 2024)
- Fractional Calculus Operators and the Mittag-Leffler Function, 2nd Edition (Deadline: 31 December 2024)
- Recent Advances in the Equation with Nonlinear Fractional Diffusion (Deadline: 31 December 2024)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 31 January 2025)
- Mittag-Leffler Function: Generalizations and Applications (Deadline: 31 January 2025)
- Fractional Elliptic and Parabolic Equations: Analysis and Related Topics (Deadline: 14 February 2025)
- Metric Spaces with Its Application to Fractional Differential Equations (Deadline: 14 February 2025)
- Fractional Differential Equations: Computation and Modelling with Applications (Deadline: 20 February 2025)
- Recent Advances in Fractional Fourier Transforms and Applications, 2nd Edition (Deadline: 25 February 2025)
- Fractional Porous Medium Type and Related Equations (Deadline: 15 March 2025)
- Advances in Nonlinear Functional Analysis on Fractional Differential Equations, 2nd Edition (Deadline: 20 March 2025)
- Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application (Deadline: 31 March 2025)
- Analysis and Applications of Fractional Calculus and Mathematical Modelling (Deadline: 31 March 2025)
- Advances in Boundary Value Problems for Fractional Differential Equations, 3rd Edition (Deadline: 20 April 2025)
- Fractional Differential Operators with Classical and New Memory Kernels (Deadline: 30 April 2025)
- Fractal and Multifractal Analyses in Financial Markets and Economics, 2nd Edition (Deadline: 1 May 2025)
- Recent Advances in Fractional-Order Neural Networks: Theory and Application, 2nd Edition (Deadline: 25 May 2025)
- Fractional Diffusion, Multistability and Control in Complex Systems (Deadline: 30 May 2025)
- Fixed Point Theory and Fractals (Deadline: 31 May 2025)
- Mathematical Inequalities in Fractional Calculus and Applications, 2nd Edition (Deadline: 31 May 2025)
- Fractional Systems, Integrals and Derivatives: Theory and Application (Deadline: 30 June 2025)
- Symmetry and Solutions of Fractional Differential Equations with Their Developments (Deadline: 30 June 2025)
- Recent Developments in Multidimensional Fractional Differential Equations and Fractional Difference Equations (Deadline: 18 July 2025)
- Theoretical Development and Application in Analytical and Numerical Methods for Fractional Differential Equations (Deadline: 31 July 2025)
- Iterative Methods in Solving Nonlinear Equations Based on Fractal and Fractional Perspective (Deadline: 31 July 2025)
- Advances in Fractional Initial and Boundary Value Problems (Deadline: 1 August 2025)
- Recent Advances in Nonlocal Problems Involving the Fractional Laplacian Operators (Deadline: 14 August 2025)
- Contemporary Methods of Fractional Order Differential and Differential-Operator Equations (Deadline: 22 August 2025)
- Nonlinear Fractional Maps: Dynamics and Control (Deadline: 25 August 2025)
- Fractional Integral Inequalities and Applications, 3rd Edition (Deadline: 31 August 2025)
- Analysis of Fractional Stochastic Differential Equations and Their Applications (Deadline: 31 August 2025)
- Calculus of Variations, Fractional Calculus and Their Applications (Deadline: 30 September 2025)
- Fractional Nonlinear Dynamics in Science and Engineering (Deadline: 30 September 2025)
- Fractal Functions: Theoretical Research and Application Analysis (Deadline: 31 October 2025)
