Photo by makcedward from unsplash
In this paper we introduce non-local-in-time complexified Lagrangians characterized by an expanded complex backward–forward derivative operator which generalize the classical complex derivative operator. We developed the Euler–Lagrange equations and solved… Click to show full abstract
In this paper we introduce non-local-in-time complexified Lagrangians characterized by an expanded complex backward–forward derivative operator which generalize the classical complex derivative operator. We developed the Euler–Lagrange equations and solved them for some special case. We discuss their implications in Newtonian mechanics where a number of applications were illustrated.
Keywords:
derivative operator;
non local;
mechanics;
local time;
complex backward
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!