Mathematical and Physical Analysis of Fractional Dynamical Systems, Second Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 30 April 2026 | Viewed by 229
Special Issue Editors
Interests: control theory; dynamical system; fractional order systems; delay systems; stochastic system; partial differential equation
Special Issues, Collections and Topics in MDPI journals
Interests: control theory; stochastic process; probability and statistics; fractional order systems; applications
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional dynamics is a field of study in mathematics and physics that investigates the behavior of objects and systems by using differentiations of fractional orders. This Special Issue, “Mathematical and Physical Analysis of Fractional Dynamical Systems, Second Edition”, will present a selection high-quality mathematical papers covering some recent developments in the theory and applications of fractional systems using fractional calculus. Emphasis will be placed on developments in the theory of delay differential, integrodifferential, impulsive differential, and difference equations and their applications. The following is a list of possible topics welcome in this Special Issue: various boundary value problems and the positivity/negativity of their solutions; Green’s functions and their properties; the existing and unique solutions of nonlinear boundary value problems; optimization and control theory; stability theory; oscillation and non-oscillation; variational problems; the use of functional differential equations in technology; and economics, biology, and medicine. Results on topics involving fundamental theory, qualitative theory, iterative methods, and numerous applications of fractional-order equations are welcome.
The scope includes (but is not limited to) original research works providing characterizations, explanations, predictions of systems, and phenomena supporting the emergence of potentially novel and useful applications, even those at the very early stages of conception. Papers based on the advances in the theory of stochastic processes and stochastic models are also welcome. Papers on the differential equations of heat and mass transfer, both local and non-local, will be considered in media that have memory and in media with a fractional structure. These papers shall investigate modified initial and mixed-boundary value problems for generalized transfer differential equations of integral and fractional orders and the fields of the qualitative and quantitative analysis of nonlinear evolution equations and their applications in image analysis. Both analytical studies, as well as simulation-based studies, will be considered. We will cover mathematical problems in materials science, mathematical approaches to image processing with applications, applications of partial differential equations, recent advances in delay differential and difference equations, nonlinear optimization, variational inequalities and equilibrium problems, computational methods in analysis and applications, and all applied mathematical fields.
Prof. Dr. Dimplekumar Chalishajar
Dr. Kasinathan Ravikumar
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.
Keywords
- functional differential and integral systems with applications
- fractional PDE with applications
- fractional numerical analysis and numerical simulations
- oscillation/nonoscillation
- feedback control and various stability analysis
- boundary value problems
- Markov chain process
- jump processes
- coupled dynamics
- fractional processes
- space–time fractional equations
- fractional Brownian motion and Rosenblatt process
- long-range dependence
- time–space fractional vibration equation
- convergence
- eigenvalue
- green function
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