Aims & Scopes

The international journal of Applicable Nonlinear Analysis (APNA) is a leading peer-reviewed publication dedicated to the mathematical exploration, theoretical advancements, and practical applications of nonlinear analysis across diverse mathematical disciplines. APNA aims to serve as a open platform for researchers, mathematicians, and practitioners to disseminate original research, innovative methodologies, and rigorous mathematical analyses in nonlinear systems and phenomena.

Focused Areas

• Nonlinear Differential Equations
  APNA invites contributions that explore analytical and numerical methods for studying nonlinear differential equations, including ordinary and partial differential equations, stochastic differential equations, functional differential equations, and integral equations.
• Dynamical Systems Theory
  The journal welcomes research on dynamical systems theory, bifurcation analysis, stability theory, chaos theory, and related topics, investigating the behavior of nonlinear systems under various dynamics and perturbations.
• Mathematical Modeling of Nonlinear Phenomena
  APNA seeks submissions focusing on the development and analysis of mathematical models describing nonlinear phenomena in physics, biology, engineering, finance, and other scientific domains.
• Optimization in Nonlinear Analysis
  Contributions on optimization techniques, variational methods, convex and non-convex optimization problems, optimization algorithms for nonlinear systems, and their applications in mathematical modeling and analysis.
• Control Theory in Nonlinear Systems
  Emphasizing control aspects of nonlinear systems, including stability analysis, robust control, adaptive control, optimal control, and their applications in managing nonlinear dynamics
• Nonlinear Functional Analysis
  The journal invites research on nonlinear functional analysis, variational methods, fixed-point theory, coincidence point theory, operator theory, and related areas, emphasizing their applications in nonlinear problems
• Geometric and Topological Methods in Nonlinear Analysis
  APNA encourages research employing geometric and topological tools to study nonlinear systems, including applications of manifold theory, differential geometry, and topology in nonlinear analysis.

Publication Types

• Original Research Articles presenting significant mathematical contributions
• Review Articles offering comprehensive surveys of specific areas in nonlinear analysis
• Short Communications highlighting concise, impactful findings
• Perspectives and Opinions providing insights into emerging trends or critical debates
• Case Studies demonstrating the application of mathematical tools in solving nonlinear problems

Audience

APNA targets researchers, graduate students, and professionals interested in rigorous mathematical analysis, offering a specialized platform for sharing novel findings, methodologies, and theoretical developments in nonlinear analysis within a mathematical framework.