Advances in the Theory of Nonlinear Analysis and its Application is a premier, peer-reviewed journal dedicated to fostering the understanding and dissemination of cutting-edge research in the field of nonlinear analysis and its diverse applications. With a commitment to excellence, innovation, and scholarly rigor, our journal serves as a platform for researchers, academicians, and practitioners to explore, share, and advance their knowledge in this exciting and rapidly evolving discipline.

Our Mission: At “Advances in the Theory of Nonlinear Analysis and its Application,” our mission is to provide a distinguished outlet for high-quality research that deepens our insights into the intricate world of nonlinear phenomena. We aim to promote interdisciplinary collaboration, bridging the gap between theory and application, and to encourage the exploration of nonlinear concepts across various scientific, engineering, and mathematical domains.

Scope: Our journal covers a wide spectrum of topics within nonlinear analysis, encompassing both theoretical advancements and practical applications. Areas of interest include, but are not limited to:

  1. Nonlinear differential equations and systems
  2. Nonlinear functional analysis
  3. Nonlinear optimization and variational methods
  4. Chaos theory and complex dynamics
  5. Nonlinear waves and patterns
  6. Nonlinear phenomena in physics, engineering, and biology
  7. Nonlinear control and stability analysis
  8. Numerical methods for nonlinear problems
  9. Nonlinear modeling and simulation

Editorial Excellence: Our editorial team consists of internationally renowned experts in the field, ensuring that every submission undergoes a rigorous peer-review process. We uphold the highest standards of academic integrity, fairness, and transparency, while offering constructive feedback to authors to enhance the quality of their work.

Author Benefits: Authors who choose to publish with us benefit from:

  1. Global Visibility: Your research reaches a wide international audience of scholars, researchers, and practitioners.
  2. High Impact: Our journal’s reputation and rigorous selection process ensure the publication of influential and impactful research.
  3. Timely Publication: We are committed to prompt publication, ensuring that your work becomes available to the community without undue delay.
  4. Open Access: We offer open access options to increase the accessibility and visibility of your research.
  5. Collaborative Community: Join a vibrant community of nonlinear analysts and scholars, fostering networking and interdisciplinary collaborations.

Readership: “Advances in the Theory of Nonlinear Analysis and its Application” caters to a diverse readership including researchers, academics, graduate students, and professionals working across a broad spectrum of disciplines where nonlinear phenomena play a crucial role.

Get Involved: We encourage researchers to submit their original research articles, reviews, and insightful perspectives to contribute to the advancement of nonlinear analysis. Additionally, we welcome volunteer reviewers who wish to contribute their expertise to the peer-review process.

Recently Published Articles

Open Access

On the dendrite property of fractal cubes

Author(s): D. A. Drozdov, A. V. Tetenov

Open Access

Applications of α-φ Geraghty for the existence results in a boundary value problem with the Mittag-Leffler kernel

Author(s): R. Akbari, H. Afshari, A. Ahmadkhanlu

Open Access

The Impact of Frequency Modulated Signals on Vibrational Resonance in a Position Dependent Mass System

Author(s): K. S. Kannan, T. S. Joster, A. Z. Bazeera, V. Chinnathambi, S. Rajasekar

Open Access

Multiple Normalized Solutions to a Class of Modified Quasilinear Schrödinger Equations

Author(s): Li, Z., & Baig, A. (2024). Multiple normalized solutions to a class of modified quasilinear Schrödinger equations. Advances in the Theory of Nonlinear Analysis and Its Application, 8(1), 37–72.

Open Access

Numerical Analysis of Discrete Laplace Transform for Higher Order Cosine Function and Applications in Initial Value Problem

Author(s): B. Govindan, T. Sathinathan, S. J. Borg, Sandra Pinelas, M. Meganathan

Open Access

The asymptotic analysis of hepatitis B virus transmission using an epidemic model

Author(s): Muhammad Khan, Tahir Khan, Imtiaz Ahmad, Qasem Al Mdallal, Gul Zaman

Open Access

Periodic Solutions of Certain Higher Order Autonomous Differential Equations via Topological Degree Theory

Author(s): Morteza Bayat, Mehdi Asadi

Open Access

Existence and uniqueness result for fractional dynamic equations on metric-like spaces

Author(s): İnci M. Erhan, Najeh Redjel

Open Access

Direct method of solving nonlinear ordinary differential equations through known functions

Author(s): Vallipalayam Chandrasekar, Muthusamy Lakshmanan, Karlygash Dosmagulova, Zhanat Zhunussova

Open Access

Solutions of Mixed Integral Equations via Hybrid Contractions

Author(s): Mohammed Shehu Shagari, Paul Oloche, Maha Noorwali

Open Access

Reconstruct the unknown source for the fractional elliptic equations : Regularization method and error estimates

Author(s): Nguyen Hoang Tuan, Le Xuan Dai

Open Access

An open discussion: Interpolative Metric Spaces

Author(s): Erdal Karapınar