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:
- Stability Analysis and Control of Fractional-Order Markovian Jump Systems (Deadline: 20 June 2023)
- Operators of Fractional Calculus and Their Multidisciplinary Applications, 2nd Edition (Deadline: 23 June 2023)
- Recent Advances in Fractional-Order Neural Networks: Theory and Application (Deadline: 25 June 2023)
- Initial and Boundary Value Problems for Differential Equations (Deadline: 30 June 2023)
- Analysis of Caputo-Type Fractional Derivatives and Differential Equations (Deadline: 15 July 2023)
- The Solutions of Partial Differential Equations and Recent Applications, 2nd Edition (Deadline: 23 July 2023)
- Newly Developments in Fractional Laplacian: Numerical Methods and Inverse Problems (Deadline: 31 July 2023)
- New Insights into Nonlinear Coupled Differential Equations with Its Applications (Deadline: 31 July 2023)
- Operators of Fractional Integration and Their Applications (Deadline: 31 July 2023)
- Stability Analysis for Fractional-Order Equations (Deadline: 31 July 2023)
- Metric Fixed Point Theory and Methods of Applications to Fractals and Fractional Equations (Deadline: 6 August 2023)
- Application of Fractal Processes and Fractional Derivatives in Finance (Deadline: 15 August 2023)
- Fractional Differential Equations: Stability Analysis and Applications (Deadline: 23 August 2023)
- Feature Papers for the 'General Mathematics, Analysis' Section (Deadline: 27 August 2023)
- Deterministic and Stochastic Fractional Differential Systems (Deadline: 27 August 2023)
- Mathematical Inequalities in Fractional Calculus and Applications (Deadline: 31 August 2023)
- 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, Volume II (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)
- 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)
- Fractional Differential Equations in Anomalous Diffusion, 2nd Edition (Deadline: 31 December 2023)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 31 December 2023)
- 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)
- Application of Fractional Calculus as an Interdisciplinary Modeling Framework, 2nd Editon (Deadline: 30 June 2024)
