Complex Backward–Forward Derivative Operator in Non-local-In-Time Lagrangians Mechanics

Rami Ahmad El-Nabulsi ^[1]
1. [1] Neijiang Normal University
  
  Neijiang Normal University
  
  China
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 2, 2017, págs. 223-234
Idioma: inglés
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Resumen
- 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.