In this paper, a fractional dynamics approach is used to characterize the observed accelerating expansion of the universe. We claim that the evolution of accelerating expansion obeys an α-exponential function, which is the fundamental solution of linear fractional order dynamical equation. We find that the Hubble constant is 67.8807, 68.2546, and 67.9119 for all redshift z < 1.5, z < 1, and z < 0.1 based on the dataset collected by the Supernova Cosmology Project. Furthermore, we verify that the expansion rate of our universe is speeding up and actually obeys a Mittag-Leffler law.
- Design Engineering Division
- Computers and Information in Engineering Division
Is Our Universe Accelerating Dynamics Fractional Order?
- Views Icon Views
- Share Icon Share
- Search Site
Zeng, C, Chen, Y, & Podlubny, I. "Is Our Universe Accelerating Dynamics Fractional Order?." Proceedings of the ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications. Boston, Massachusetts, USA. August 2–5, 2015. V009T07A020. ASME. https://doi.org/10.1115/DETC2015-46216
Download citation file: