  This article presents the phase dynamics of an inline long Josephson junction
in voltage state under the influence of constant external magnetic field.
Fractional calculus approach is used to model the evolution of the phase
difference between the macroscopic wave functions of the two superconductors
across the junction. The governing non-linear partial differential equation is
then solved using finite difference-finite element schemes. Other quantities of
interest like Josephson current density and voltage across the junction are
also computed. The effects of various parameters in the model on phase
difference, Josephson current density and voltage are analyzed graphically with
the help of numerical simulations.

Numerical Analysis