• MADHURI PATIL

      Articles written in Pramana – Journal of Physics

    • Analysis of solution trajectories of fractional-order systems

      MADHURI PATIL SACHIN BHALEKAR

      More Details Abstract Fulltext PDF

      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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