Fractional Allen Cahn Equations

Yücel, Hamdullah
Benner, Peter


Fractional statistics and superconductivity of anyons
Shikakhwa, Mohammad; Durgut, Metin; Department of Physics (1992)
Fractional boundaries for fluid spheres
Bayin, S; Glass, EN; Krisch, JP (AIP Publishing, 2006-01-01)
A single Israel layer can be created when two metrics adjoin with no continuous metric derivative across the boundary. The properties of the layer depend only on the two metrics it separates. By using a fractional derivative match, a family of Israel layers can be created between the same two metrics. The family is indexed by the order of the fractional derivative. The method is applied to Tolman IV and V interiors and a Schwarzschild vacuum exterior. The method creates new ranges of modeling parameters for...
Fractional incompressible stars
Bayin, Selcuk S.; Krisch, Jean P. (2015-10-01)
In this paper we investigate the fractional versions of the stellar structure equations for non radiating spherical objects. Using incompressible fluids as a comparison, we develop models for constant density Newtonian objects with fractional mass distributions and/or stress conditions. To better understand the fractional effects, we discuss effective values for the density and equation of state. The fractional objects are smaller and less massive than integer models. The fractional parameters are related t...
Fractional division-n frequency synthesizers
Çakmakçı, M. Engin; Altay, Bülent Kerim; Department of Electrical and Electronics Engineering (1989)
Fractional controller design for suppressing smart beam vibrations
ONAT, CEM; Şahin, Melin; Yaman, Yavuz (2012-01-01)
Purpose - The purpose of this paper is to detail the design of a fractional controller which was developed for the suppression of the flexural vibrations of the first mode of a smart beam.
Citation Formats
H. Yücel and P. Benner, “Fractional Allen Cahn Equations,” 2015, Accessed: 00, 2021. [Online]. Available: