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We solve the one-dimensional Dirac equation by taking into account thepossibility of position-dependence in the mass function. We also take the Fermivelocity to act as a local variable and examine the combined effects of the twoon the solvability of the Dirac equation with respect to the Morse potential.Our results for the wave functions and the energy levels corresponding to suchan extended scheme are furnished in closed forms.

Dirac equation with Morse potetnial under the influence of position-dependent mass and local Fermi velocity