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Advances in Fractional Kinetic Models and Their Practical Applications

This special issue belongs to the section “Mathematical Physics“.

Special Issue Information

Dear Colleagues,

Fractional kinetic models have emerged as powerful tools for describing complex dynamic behaviors that cannot be adequately captured by classical integer order approaches. Their ability to represent memory effects, nonlocal interactions, anomalous transport, and multiscale responses has led to significant progress across diverse scientific and engineering domains. This Special Issue, “Advances in Fractional Kinetic Models and Their Practical Applications”, aims to gather high-quality research that expands the theoretical foundations, numerical methods, and real-world implementations of fractional kinetics.

The scope of this issue includes novel formulations of fractional kinetic equations; analytical and semi-analytical solution techniques; advances in numerical algorithms and efficient computational strategies; parameter estimation and model validation; and the stability, control, and optimization of systems governed by fractional dynamics. Applications of interest range from chemical and physical processes to biological systems, materials science, environmental modeling, signal processing, and complex systems where nonlocality or memory plays a fundamental role. Both original research articles and comprehensive reviews are encouraged.

Dr. Ana Caroline Raimundini Aranha
Dr. Gioacchino Alotta
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractional calculus
  • fractional kinetics
  • anomalous diffusion
  • nonlocal models
  • memory effects
  • numerical methods
  • fractional dynamic systems
  • applied fractional modelling

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Fractal Fract. - ISSN 2504-3110