| Savitribai Phule Pune University |
| Title | Maxey-Riley equation: newer perspective |
| Author/s |
Abhiram Hegade
School of Mathematics and Statistics, University of Hyderabad, Hyderabad, Telangana, 500046, India Varsha Daftardar-Gejji Department of Scientific Computing, Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007, India Sachin Bhalekar School of Mathematics and Statistics, University of Hyderabad, Hyderabad, Telangana, 500046, India |
| Abstract | Non-integer-order derivatives have proven useful while modelling natural systems involving memory effects. In this article, we analyse the Maxey–Riley (M–R) equation that models the motion of a small particle in a non-uniform flow field. Fractional derivative arises naturally as a history term. We study the M–R equation in terms of fractional differential equations, a subject very well studied in recent times. This approach helps in gaining a deeper understanding of the underlying phenomenon. We observe solution curves having self-intersections, which is a novel feature of fractional-order dynamics. |
| Keywords | |
| Download | Journal |
| Citing This Document | Abhiram Hegade, Varsha Daftardar-Gejji, and Sachin Bhalekar , Maxey-Riley equation: newer perspective . Technical Report CMS-TR-20230727 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2023); available at http://scms.unipune.ac.in/reports/. |
| Notes, Published Reference, Etc. | Published as nternational Journal of Dynamics and Control, (Springer) 12 (1) 2024 |
| Contact | 17immm06 AT uohyd.ac.in |
| Supplementary Material |