Theory and Applications of Fractional Models
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 20 August 2025 | Viewed by 99
Special Issue Editors
Interests: fractional differential equations; functional-differential equations; impulsive differential equations; differential equations in Banach spaces; integral equations; integral inequalities; stability analysis; real and functional analysis; applied mathematics
Special Issues, Collections and Topics in MDPI journals
Interests: fractional differential equations; impulsive differential equations; functional-differential equations; differential equations in Banach spaces
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The present Special Issue is dedicated to new research in different aspects of fractional calculus, related to actual generalizations of the fractional integrals and derivatives. We encourage investigations of fractional differential equations or systems with different types of fractional orders: constant, distributed, or variable types. Furthermore, fractional equations or systems with delayed arguments (retarded or neutral types) or those without delay, as well as articles dedicated to partial fractional equations with fractional derivatives are also welcome. The works can contain results concerning fundamental theory, such as the existence and/or uniqueness of the solutions, different kinds of their qualitative properties, mainly various types of stability, etc.
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 of kernels give a more adequate description of the dynamics of the studied real-world phenomena. Qualitative results concerning the neural networks and/or fractional variants of well-known classical models in different scientific areas, such as physics, biology, economics, and so on, are also welcome, as well as articles containing new applications involving any kind of fractional models.
Prof. Dr. Andrey Zahariev
Prof. Dr. Hristo Kiskinov
Guest Editors
Manuscript Submission Information
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Keywords
- fractional calculus
- fractional integrals and derivatives
- fractional differential equations
- stability analysis
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