Green's function for higher-order boundary value problems involving a nabla Caputo fractional operator

Kevin Ahrendt, Cameron Kissler

We consider the discrete, fractional operator $\left(L_a^{\nu }x\right)(t):=\nabla [p(t){\nabla }_{a^{\ast }}^{\nu }x(t)]+q(t)x(t-1)$ involving the nabla Caputo fractional difference, which ca…