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:
- Fractional Differential Operators with Classical and New Memory Kernels (Deadline: 30 April 2024)
- q-Fractional Calculus/Differential Equations and Related Applications (Deadline: 15 May 2024)
- Advances in Boundary Value Problems for Fractional Differential Equations, 2nd Edition (Deadline: 21 May 2024)
- Inverse Problems for Fractional Differential Equations (Deadline: 31 May 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)
- Fractional Differential Equations: Computation and Modelling with Applications (Deadline: 15 July 2024)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 15 July 2024)
- Caputo Fractional Difference Equations and Its Applications (Deadline: 30 July 2024)
- Recent Advances in Fractional-Order Neural Networks: Theory and Application (Deadline: 31 July 2024)
- Nonlinear Equations Driven by Fractional Laplacian Operators (Deadline: 15 August 2024)
- Applications of Finite Element Methods for Solving Fractional Partial Differential Equations (Deadline: 20 August 2024)
- Analysis of Fractional Stochastic Differential Equations and Their Applications (Deadline: 30 August 2024)
- Fractal and Multifractal Analyses in Financial Markets and Economics, 2nd Edition (Deadline: 31 August 2024)
- Mathematical and Fractional-Order Modeling for Infectious and Non-Infectious Diseases (Deadline: 30 September 2024)
- Mittag-Leffler Function: Generalizations and Applications (Deadline: 30 September 2024)
- Symmetry and Solutions of Fractional Differential Equations with Their Developments (Deadline: 15 October 2024)
- Iterative Methods in Solving Nonlinear Equations Based on Fractal and Fractional Perspective (Deadline: 20 October 2024)
- Fractional Diffusion, Multistability and Control in Complex Systems (Deadline: 31 October 2024)
- Fractional Differential Equations: Advanced Results for Cases with Singularities (Deadline: 31 October 2024)
- Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application (Deadline: 31 October 2024)
- Advances in Fractional Dynamical and Control Problems with Nonlocal Operators (Deadline: 25 November 2024)
- Application of Fractal Processes and Fractional Derivatives in Finance, 2nd Edition (Deadline: 25 November 2024)
- Contemporary Methods of Fractional Order Differential and Differential-Operator Equations (Deadline: 30 November 2024)
- Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation (Deadline: 20 December 2024)
- Variational Problems and Fractional Differential Equations (Deadline: 31 December 2024)
- Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis (Deadline: 31 December 2024)
- Recent Advances in the Equation with Nonlinear Fractional Diffusion (Deadline: 31 December 2024)
- Fractional Calculus Operators and the Mittag-Leffler Function, 2nd Edition (Deadline: 31 December 2024)
- 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)
- Analysis and Applications of Fractional Calculus and Mathematical Modelling (Deadline: 31 March 2025)
- Fractional Systems, Integrals and Derivatives: Theory and Application (Deadline: 30 June 2025)
