Advances in Fractional Dynamical and Control Problems with Nonlocal Operators

Dear Colleagues,

The behavior of numerous dynamic systems, including diffusion processes, milling processes, data networks, transportation, plasma physics, Lévy processes, economics, flexible structures, and continuum robots, often exhibits nonlocal characteristics. Nonlocal operators are crucial for describing such behavior. In mathematics, an operator is local if its output at any point depends solely on nearby function values, whereas nonlocal operators depend on a wider range of function values, making them nonlocal. Examples include fractional derivatives, discrete delays, distributed delays, convolution integrals, integro-differential operators, Volterra integral equations, and stochastic processes. Systems governed by nonlocal operators often defy intuition, and their modeling and control become complex as they extend infinitely.

We are pleased to announce an upcoming Special Issue titled "Advances in Fractional Dynamical and Control Problems with Nonlocal Operators". This Special Issue provides a dedicated platform for researchers and practitioners to explore the latest developments, methodologies, and applications in the field of modeling and control theory of dynamical systems featuring nonlocal operators.

Within this Special Issue, we extend a warm invitation for original research articles and reviews that cover a wide range of topics related to fractional-order systems, time-delay systems, stochastic systems, and non-Markov processes. While the list is not exhaustive, some suggested themes for submissions include:

• Time-delay systems, encompassing theoretical foundations and practical applications.
• Control theory for continuum systems, addressing their unique challenges.
• Fractional-order systems, including modeling and control strategies.
• Fractals and chaos within nonlocal operators.
• Voltterra integrodifferential systems and their dynamics.
• Stochastic systems with nonlocal features.
• Analysis of diffusion and random walk processes with an emphasis on nonlocal aspects.
• Non-Markov processes and their implications.
• Computational methods for handling nonlocal operators.

We wholeheartedly invite your contributions, which promise to deepen our understanding and enhance the practical application of systems involving nonlocal operators in the context of modeling, control, and computation. Your valuable contributions will play a pivotal role in shaping the future of this dynamic and interdisciplinary field.

Dr. Arman Dabiri
Dr. Behrouz Parsa Moghaddam
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-anonymized 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.