期刊
PRAMANA-JOURNAL OF PHYSICS
卷 94, 期 1, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-020-01951-8
关键词
Fractional derivative; Mittag-Leffler functions; Orthogonal transformation; Frenet apparatus; 05; 45; -a; 02; 40; -k; 45; 30; +s
资金
- Science and Engineering Research Board (SERB), New Delhi, India under Mathematical Research Impact Centric Support (MATRICS) Scheme [MTR/2017/000068]
- Department of Science and Technology (DST), New Delhi, India [IF170439]
The behavior of solution trajectories usually changes if we replace the classical derivative in a system with a fractional one. In this article, we throw light on the relation between two trajectories X(t) and Y(t) of such a system, where the initial point Y(0) is at some point X(t1) of the trajectory X(t). In contrast with classical systems, these trajectories X and Y do not follow the same path. Further, we provide a Frenet apparatus for both trajectories in various cases and discuss their effect.
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