Harmonic and Geometric Analysis for Fractional Equations
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 25 February 2026 | Viewed by 55
Special Issue Editors
Interests: partial differential equations; mathematical analysis; equations with fractional operators
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
In recent years, fractional differential equations have gained significant attention due to their applicability in various scientific and technological domains. These equations can be applied to model several complex phenomena, such as anomalous diffusion, viscoelasticity, signal processing, etc.
The interplay between Harmonic Analysis, Geometric Analysis, and Fractional Equations has led to remarkable advancements in understanding the behavior of solutions of fractional models. For example, Harmonic Analysis is pivotal in studying Fractional Differential Equations involving operators that can be expressed as singular integrals. It enables the extraction of key properties of these operators, leading to a better understanding of the underlying problem. On the other hand, Geometric Analysis contributes to several relevant problems involving curvature- minimal surfaces and non-local geometric flows, providing essential tools for understanding their structural and analytical properties. These areas provide essential tools for studying the properties of fractional operators, regularity estimates, and relevant geometric information in fractional differential problems.
This Special Volume aims to present recent developments in harmonic and geometric analysis techniques applied to fractional equations, focusing on new approaches to addressing fundamental challenges in fractional problems. We welcome contributions that explore theoretical advances, novel analytical techniques, and applications that combine harmonic and geometric methods to study fractional differential equations.
Dr. Leandro Tavares
Dr. Alessio Fiscella
Guest Editors
Manuscript Submission Information
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Keywords
- fractional equations
- fractional operators
- fractional derivatives
- harmonic analysis
- geometric analysis
- regularity estimates
- fractional Laplacian
- geometric aspects of fractional equations
- variational methods
- existence of solutions
- multiplicity
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