66 citations · 108 across the 11 of their papers we have counts for
11 papers
Model-Driven Applications of Fractional Derivatives and Integrals
William A. Sethares, Selçuk Ş. Bayın
Fractional order derivatives and integrals (differintegrals) are viewed from a frequency-domain perspective using the formalism of Riesz, providing a computational tool as well as…
Is the Universe Flat?
Selcuk S. Bayin
Geometry of the universe has always intrigued mathematicians and cosmologists. Recent results from the Wilkinson Microwave Anisotropy Project (WMAP) indicate that the visible unive…
On the Consistency of the Solutions of the Space Fractional Schrödinger Equation
Selcuk S. Bayin
Recently it was pointed out that the solutions found in literature for the space fractional Schrödinger equation in a piecewise manner are wrong, except the case with the delta pot…
Friedmann Thermodynamics and the Geometry of the Universe
Selcuk S. Bayin
In a recent article we have introduced Friedmann thermodynamics, where certain geometric parameters in Friedmann models are treated like their thermodynamic counterparts (temperatu…
Fractional Boundaries for Fluid Spheres
Selcuk Bayin, E. N. Glass, Jean P. Krisch
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…
An Open Inflationary Model for Dimensional Reduction and its Effects on the Observable Parameters of the Universe
Koray Karaca, Selcuk Bayin
Assuming that higher dimensions existed in the early stages of the universe where the evolution was inflationary, we construct an open, singularity-free, spatially homogeneous and…