Advances in Fractional Modeling and Computation, Second Edition

Dear Colleagues,

Fractional calculus is a branch of mathematics that deals with the study of fractional order derivatives. Today, fractional calculus has many applications in various fields, including physics, engineering, finance, and biology. It can be used to model complex systems that exhibit non-local or long-range interactions, as well as to solve differential equations involving fractional derivatives. Many models of complex systems that use ordinary and partial differential equations do not have analytic solutions. There is an urgent need to develop effective computational methods for the analysis of fractional models.

The focus of this Special Issue is the development and advancement of models using fractional differential equations and processes. We welcome original and review papers on theory, computational and Monte Carlo methods, and practical applications of fractional models in physics, chemistry, biology, engineering, economics, probability, and statistics. Topics that are invited for submission include (but are not limited to) the following:

• Fractional models in natural sciences;
• Fractional models in economics and engineering;
• Numerical algorithms and discretization;
• Fractional differential systems with control theory;
• Fractional dynamic systems;
• Analysis of fractional models;
• Stochastic methods for fractional models;
• Monte Carlo methods;
• Markov chains and processes;
• Stochastic modeling and simulation;
• Related fractional models.

Prof. Dr. Jordan Hristov
Dr. Slavi Georgiev
Dr. Yuri Mitkov Dimitrov
Dr. Venelin Todorov
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 100 words) can be sent to the Editorial Office for announcement on this website.

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.

• fractional models in natural sciences
• fractional models in economics and engineering
• numerical algorithms and discretization
• fractional differential systems with control theory
• fractional dynamic systems
• analysis of fractional models
• stochastic methods for fractional models
• Monte Carlo methods
• Markov chains and processes
• stochastic modeling and simulation
• related fractional models

• Advances in Fractional Modeling and Computation in Fractal and Fractional (21 articles)