Fractal and Fractional

Scope & Guideline

Innovative Research at the Intersection of Fractals and Calculus

Introduction

Welcome to your portal for understanding Fractal and Fractional, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN-
PublisherMDPI
Support Open AccessNo
Country-
Type-
Converge-
AbbreviationFRACTAL FRACT / Fractal Fract.
Frequency12 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND

Aims and Scopes

The journal "Fractal and Fractional" focuses on the intersection of fractals and fractional calculus, exploring their applications across various scientific disciplines. It aims to provide a platform for innovative research that incorporates theoretical advancements and practical implementations of fractal geometry and fractional derivatives.
  1. Fractional Calculus Applications:
    The journal emphasizes studies involving fractional calculus, which includes its applications in modeling dynamic systems across physics, engineering, and biology. This includes fractional differential equations and their solutions.
  2. Fractal Geometry and Its Applications:
    Research on fractal geometry is a core aspect of the journal, with papers discussing the mathematical properties of fractals and their applications in various fields such as materials science, ecology, and computer graphics.
  3. Modeling and Simulation:
    The journal publishes works that apply fractional and fractal models to real-world phenomena, including simulations of physical processes, financial modeling, and biological systems.
  4. Interdisciplinary Research:
    The journal encourages interdisciplinary studies that integrate concepts from mathematics, physics, engineering, and computer science, showcasing how fractal and fractional theories can solve complex problems in diverse fields.
  5. Numerical Methods and Computational Techniques:
    A significant focus is on the development and application of numerical methods for solving fractional and fractal problems, including innovative algorithms and computational techniques.
The journal has identified several emerging themes that reflect the current trends in research at the intersection of fractals and fractional calculus. These themes highlight the journal's adaptation to contemporary challenges and innovations in science and engineering.
  1. Integration of Machine Learning and AI:
    An increasing number of papers are exploring the application of machine learning and artificial intelligence in conjunction with fractal and fractional modeling, particularly for predictive analytics and optimization.
  2. Environmental and Ecological Applications:
    Research focusing on environmental modeling, including climate change effects and ecological dynamics using fractal and fractional approaches, has gained significant traction.
  3. Complex Systems and Network Theory:
    There is a growing interest in applying fractal and fractional concepts to complex systems and network theories, particularly in understanding phenomena in social sciences, economics, and biology.
  4. Advanced Numerical Techniques:
    Emerging methodologies in numerical analysis and computational techniques for solving complex fractional and fractal equations are becoming a focal point, emphasizing the importance of efficient algorithms.
  5. Hybrid Models:
    The development of hybrid models that combine fractional calculus with other mathematical frameworks, such as fuzzy logic or stochastic processes, is becoming increasingly popular.

Declining or Waning

While 'Fractal and Fractional' continues to explore a wide range of topics, certain areas of research have shown a decline in focus over recent years. This might reflect shifting interests within the community or advancements that have led to more established methodologies.
  1. Basic Theoretical Developments:
    There has been a noticeable shift away from purely theoretical discussions of fractals and fractional calculus towards more applied research and interdisciplinary applications.
  2. Traditional Applications of Fractals:
    Applications of fractals in traditional fields such as pure mathematics and theoretical physics have seen a decrease in favor of more practical applications in engineering and technology.
  3. Static Models:
    Research focusing on static models that do not consider dynamic interactions or time-dependent behaviors has become less prominent compared to studies involving dynamic systems and their complexities.

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