Analysis of solution trajectories of fractional-order systems

被引：0

作者：

Patil, Madhuri ^{[1
]}

Bhalekar, Sachin ^{[1
,2
]}

机构：

[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India

[2] Univ Hyderabad, Sch Math & Stat, Hyderabad 500046, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2020年 / 94卷 / 01期

关键词：

Fractional derivative; Mittag-Leffler functions; Orthogonal transformation; Frenet apparatus; 05; 45; -a; 02; 40; -k; 30; +s;

D O I：

10.1007/s12043-020-01951-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：14

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