About Some Possible Implementations of the Fractional Calculus

Abstract

We present a partial panoramic view of possible contexts and applications of the fractional calculus. In this context, we show some different applications of fractional calculus to different models in ordinary differential equation (ODE) and partial differential equation (PDE) formulations ranging from the basic equations of mechanics to diffusion and Dirac equations.

Keywords

• fractional calculus
• fractional differential equations
• nonlocal effects