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:
- Nonlinear Fractional Maps: Dynamics and Control (Deadline: 20 April 2026)
- Mathematical Inequalities in Fractional Calculus and Applications, 2nd Edition (Deadline: 31 May 2026)
- Advances in Nonlinear Functional Analysis on Fractional Differential Equations, 2nd Edition (Deadline: 31 May 2026)
- Advances in Fractional Operators: Mathematical Perspectives and Multidisciplinary Applications (Deadline: 31 May 2026)
- Mathematical and Computational Approaches to Fractal and Fractional Systems Using Fixed Point Theory (Deadline: 31 May 2026)
- Fractional Differential Operators with Classical and New Memory Kernels, Second Edition (Deadline: 30 June 2026)
- Recent Advances in Fractional-Order Neural Networks: Theory and Application, 2nd Edition (Deadline: 10 July 2026)
- Recent Developments in Multidimensional Fractional Differential Equations and Fractional Difference Equations (Deadline: 18 July 2026)
- Fractional Calculus and Nonlinear Analysis: Theory and Applications (Deadline: 31 July 2026)
- Fractional Dynamics Systems: Modeling, Forecasting, and Control (Deadline: 31 July 2026)
- Applications of Fractal Interpolation in Mathematical Functions (Deadline: 31 July 2026)
- Modeling and Inverse Problems of Nonlocal Phenomena (Deadline: 1 August 2026)
- Recent Advances in Nonlocal Problems Involving the Fractional Laplacian Operators (Deadline: 14 August 2026)
- Advances in Fractional Initial and Boundary Value Problems (Deadline: 20 August 2026)
- Application of Fractal Processes and Fractional Derivatives in Finance, 3rd Edition (Deadline: 31 August 2026)
- Fractal and Fractional Order Modeling of Real-World Phenomena (Deadline: 31 August 2026)
- Theoretical and Numerical Methods for Fractional and Nonlocal Partial Differential Equations (Deadline: 15 September 2026)
- Continuous/Discrete-Time Fractional Systems: Modelling, Design and Estimation, 2nd Edition (Deadline: 15 September 2026)
- Advances in Fractional Evolution Equations: Periodicity and Stability (Deadline: 30 September 2026)
- Fractional Nonlinear Dynamics in Science and Engineering (Deadline: 30 September 2026)
- Boundary Value Problems for Nonlinear Fractional Differential Equations: Theory, Methods and Application, Second Edition (Deadline: 30 September 2026)
- Analysis of Fractional Stochastic Differential Equations and Their Applications, Second Edition (Deadline: 30 September 2026)
- Calculus of Variations, Fractional Calculus and Their Applications (Deadline: 30 September 2026)
- Fractional-Order Delayed Neural Networks: Bifurcation Analysis and Dynamic Behaviors (Deadline: 30 October 2026)
- Numerical Simulations of Dynamic Behaviors and Control Design in Fractional Engineering Applications (Deadline: 31 October 2026)
- Fractal Functions: Theoretical Research and Application Analysis (Deadline: 31 October 2026)
- Advances in Boundary Value Problems for Fractional Differential Equations, 4th Edition (Deadline: 10 November 2026)
- Recent Advances in Fractional Fourier Transforms and Applications, 3rd Edition (Deadline: 25 November 2026)
- Harmonic and Geometric Analysis for Fractional Equations (Deadline: 30 November 2026)
- Fixed Point Theory and Fractals, 2nd Edition (Deadline: 30 November 2026)
- Advances in Existence Theory and Stability of Variable Fractional Systems (Deadline: 30 November 2026)
- From Fractals to Fractional Calculus: Nonlinear Dynamics and Hybrid Complex Systems (Deadline: 10 December 2026)
- Fractional Elliptic and Parabolic Equations: Analysis and Related Topics (Deadline: 18 December 2026)
- Novel and Effective Applications of Fractional-Order Models (Deadline: 25 December 2026)
- Advances in Fractional Stochastic Differential Equations and Their Real-World Applications (Deadline: 30 December 2026)
- Modeling and Dynamic Analysis of Fractional-Order Systems (Deadline: 31 December 2026)
- Recent Advances in Fixed Point Theory and Applications to Fractional Differential Equations (Deadline: 1 January 2027)
- Fractional-Order Systems: Modeling and Control Applications in Engineering (Deadline: 15 January 2027)
- Advances in Fractional Integral Inequalities: Theory and Applications, Second Edition (Deadline: 31 January 2027)
- Fractional-Order Modeling for Nonlinear and Memory-Dependent Systems (Deadline: 31 January 2027)
- Fractional Systems, Integrals and Derivatives: Theory and Application, Second Edition (Deadline: 28 February 2027)
- Advances in Fractional Fourier Transform and Wavelet Theory: Techniques and Applications (Deadline: 28 March 2027)
- Fractional Maps and Discrete Fractional Dynamical Systems (Deadline: 31 March 2027)
