Fractional Systems, Integrals and Derivatives: Theory and Application

Dear Colleagues,

The present Special Issue is dedicated to new research in fractional calculus related to fractional integrals and derivatives. Our main interest is focused on works devoted to fractional differential equations or systems with different types of fractional orders: constant, variable or distributed types; as well as fractional equation or systems without delay; or those with delayed argument (retarded or neutral types). Articles devoted to partial fractional and stochastic differential equations with fractional derivatives are welcome too. The works can contain results concerning the existence and/or uniqueness of the solutions, different kinds of integral representations of these solutions, and their continuous dependence from the given data. Qualitative results concerning the asymptotic behaviour of solutions, and various types of stability properties, namely Lyapunov’s type, finite time stability, Mittag–Leffler stability, robust stability, Ulam–Hyers–Rassias stability, and so on, are also invited.

In addition, articles containing new applications, including fractional variants of well-known classical models in different scientific areas as economics, physics, engineering, and so on, are also welcome. We also encourage works that compare the advantages and disadvantages of fractional derivatives with integrable singular kernels, and those with regularized kernels calculating not only the mathematical (technical) convenience but also convenience from an applicability point of view, namely fractional models with which type kernels give a more adequate description of the dynamics of the studied physical or economical real-world phenomena.

Prof. Dr. Andrey Zahariev
Prof. Dr. Hristo Kiskinov
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 derivatives of constant order
• distributed order fractional derivative
• variable order fractional derivative
• fractional differential equations/systems
• functional-differential equations/systems
• stability analysis of fractional-order systems