Fractional Calculus: Advances and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 31 May 2024 | Viewed by 1360
Special Issue Editors
Interests: fractional calculus; fractional calculation; fractional differential equations; fractional derivative; supersymmetric cosmology
Interests: fractional calculus; fractional control; wave energy conversion; data mining
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
In recent years, fractional calculus (FC) has been shown to be more accurate for describing real processes than the ordinary calculus. FC is the natural generalization of the ordinary calculus, and fractional derivatives are defined by integrals, making them non-local. This means that the fractional time derivative simulates memory effects, and the spatial fractional derivative describes non-local spatial effects. There are several results demonstrating the remarkable advantages of fractional calculus over the ordinary calculus, e.g., the new theory of capacitors, anomalous diffusion, memory mechanisms, bioengineering, electromagnetism, fractional electrical circuits, fractional-order control, and nanotechnology, to mention a few.
The Special Issue “Fractional Calculus: Advances and Applications” aims to collate original articles with various contributions, such as new methods for solving fractional differential equations and applications in all areas of science and engineering, such as fractional control, electromagnetic theory, bioengineering, and mechanics. Studies on fractional cosmology are welcome.
Prof. Dr. Juan J. Rosales-García
Dr. Duarte Valério
Guest Editors
Manuscript Submission Information
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Keywords
- methods for solving fractional differential equations
- new theory of capacitors
- fractional electromagnetic theory
- fractional bioengineering
- fractional cosmology
- non-ordinary mechanics
- signal and image processing
- fractional biomedical signals and images
- fractional circuit theory
