Advances in Fractional Dynamics and Their Applications in Seismology
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 32
Special Issue Editors
Interests: exploration seismology; earthquake seismology; computational seismology; fractional operator; fractional Laplacians
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Seismology is an interdisciplinary science of mathematics, physics, and computational methods, dedicated to probing the Earth's interior and locating subsurface resources such as hydrocarbons and minerals through the analysis of seismic wavefields. In recent years, fractional dynamics—governed by fractional differential equations—have shown great promise in modeling complex wave propagation phenomena that are difficult to capture with conventional wave equations. Applications of fractional models in seismology include seismic wave simulation and imaging in viscoacoustic and viscoelastic media, quasi-P and quasi-S wavefield decomposition and simulation in anisotropic formations, and one-way wavefield extrapolation and imaging. Efficient and robust numerical methods for solving fractional equations are crucial for advancing seismic modeling, imaging, and inversion in complex geological settings.
The aim of this Special Issue is to showcase recent advances in fractional dynamics and their applications in seismology. Topics of interest include, but are not limited to, the following:
- Seismic wave modeling in viscous and anisotropic media with fractional equations;
- Seismic data processing with fractional derivatives;
- High-performance computing methods for fractional wave equations;
- One-way wavefield approximations using fractional operators;
- Seismic imaging in viscoelastic and anisotropic media;
- Seismic tomography and full waveform inversion involving fractional calculations.
Prof. Dr. Jidong Yang
Dr. Bingluo Gu
Guest Editors
Manuscript Submission Information
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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
- fractional wave equation
- fractional laplacian
- time-/space-domain fractional derivatives
- seismic modeling, imaging, and inversion
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