About the Journal

Aims and Scope:

The Mathematical Structures and Computational Modeling (MSCM) is an international, peer-reviewed open-access journal dedicated to publishing original research and review articles at the intersection of abstract mathematical theory and real-world computational applications.

Scope of the Journal includes, but is not limited to:

Mathematical Structures and Theoretical Foundations

  • Iso-mathematics and generalizations of conventional mathematical frameworks
  • Quaternion and Clifford analysis and their applications in physics and engineering
  • Algebraic and geometric structures in modeling complex systems
  • Lie algebras, symmetries, and transformations in differential equations
  • Time Scales Calculus and Analysis

Differential Equations and Modeling

  • Ordinary and partial differential equations (ODEs and PDEs)
  • Stochastic differential equations and random processes
  • Mathematical modeling of natural and engineered systems
  • Analytical, qualitative, and numerical analysis of dynamical systems
  • Dynamic Equations on Time Scales

Computational Methods and Simulation

  • Novel methods for computational modeling using advanced algebraic structures
  • Simulation of physical, biological, and socio-economic systems
  • Algorithm development and numerical schemes for solving complex equations
  • Applications in quantum mechanics, control theory, signal processing, and more

Interdisciplinary and Emerging Applications

  • Applications in artificial intelligence, cryptography, and complex networks
  • Integration of mathematical modeling with data science and machine learning
  • Mathematical methods in theoretical physics and engineering systems

Geometry

  • -Absolute geometry;
  • -Affine geometry;
  • -Algebraic geometry;
  • -Analytic geometry;
  • -Birational geometry;
  • -Complex geometry;
  • -Combinatorial geometry;
  • -Computational geometry;
  • -Conformal geometry;
  • -Differential geometry;
  • -Dynamic geometry on time scales.

Integral equations:

  • Linear integral equations
  • Fredholm integral equations
  • Volterra integral equations
  • Singular integral equations
  • Eigenvalue problems for integral equations
  • Nonlinear integral equations.

Fixed point theory

  • Applications to Differential Equations and Dynamical Systems
  • Computational Methods
  • Convex and Nonlinear Analysis
  • Fractional Calculus and Fractional Differential Equations
  • Fuzzy Fixed Point Theory
  • Metric Fixed Point Theory
  • Nonlinear Analysis and Partial Differential Equations
  • Numerical Analysis and Optimization
  • Optimization and Control Theory
  • Real World Applications
  • Set-Valued and Variational Analysis
  • Social and Behavioral Sciences
  • Topological Methods in Nonlinear Analysis