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:
- 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)
- Symmetry and Solutions of Fractional Differential Equations with Their Developments (Deadline: 30 June 2025)
- Fractional Systems, Integrals and Derivatives: Theory and Application (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)
- Advances in Fractional Operators: Mathematical Perspectives and Multidisciplinary Applications (Deadline: 25 August 2025)
- Analysis of Fractional Stochastic Differential Equations and Their Applications (Deadline: 31 August 2025)
- Fractional Integral Inequalities and Applications, 3rd Edition (Deadline: 31 August 2025)
- Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation (Deadline: 31 August 2025)
- Fractional Porous Medium Type and Related Equations (Deadline: 15 September 2025)
- Calculus of Variations, Fractional Calculus and Their Applications (Deadline: 30 September 2025)
- Variational Problems and Fractional Differential Equations (Deadline: 30 September 2025)
- Fractional Nonlinear Dynamics in Science and Engineering (Deadline: 30 September 2025)
- Advances in Nonlinear Functional Analysis on Fractional Differential Equations, 2nd Edition (Deadline: 31 October 2025)
- Numerical Simulations of Dynamic Behaviors and Control Design in Fractional Engineering Applications (Deadline: 31 October 2025)
- Fractal Functions: Theoretical Research and Application Analysis (Deadline: 31 October 2025)
- Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis (Deadline: 31 October 2025)
- Recent Advances in Fractional Fourier Transforms and Applications, 2nd Edition (Deadline: 25 November 2025)
- Advances in Boundary Value Problems for Fractional Differential Equations, 3rd Edition (Deadline: 30 November 2025)
- Recent Trends in Fractional Integral and Derivative Operators (Deadline: 10 December 2025)
- From Fractals to Fractional Calculus: Nonlinear Dynamics and Hybrid Complex Systems (Deadline: 25 December 2025)
- Modeling and Dynamic Analysis of Fractional-Order Systems (Deadline: 31 December 2025)
- Nonlinear Fractional Differential Equation and Fixed-Point Theory, 2nd Edition (Deadline: 31 December 2025)
- Fractional Elliptic and Parabolic Equations: Analysis and Related Topics (Deadline: 31 December 2025)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 31 December 2025)
- Mathematical Inequalities in Fractional Calculus and Applications, 2nd Edition (Deadline: 31 December 2025)
- Fractional-Order Systems: Modeling and Control Applications in Engineering (Deadline: 31 January 2026)
- Advances in Fractional Integral Inequalities: Theory and Applications (Deadline: 31 January 2026)
- Harmonic and Geometric Analysis for Fractional Equations (Deadline: 25 February 2026)
- Stochastic Models, Fractional Calculus and Non-Local Operators: Theoretical Results and Applications (Deadline: 1 March 2026)
- Analysis and Applications of Fractional Calculus and Mathematical Modelling (Deadline: 31 March 2026)
- Metric Spaces with Its Application to Fractional Differential Equations, Second Edition (Deadline: 31 March 2026)
- Mathematical and Computational Approaches to Fractal and Fractional Systems Using Fixed Point Theory (Deadline: 31 May 2026)
- Applications of Fractal Interpolation in Mathematical Functions (Deadline: 31 July 2026)
