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

Remi-Ahmad El-Nabulsi

• 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.