(17) In the paper titled "A Compact Difference Scheme for Solving Fractional Neutral

Parabolic Differential Equation with Proportional Delay," a linearized compact finite difference scheme was constructed for solving the fractional neutral

parabolic differential equation with proportional delay.

Some oscillation results are also given for the delay

parabolic differential equation as follows:

Jones, "Determination of a coefficient in a

parabolic differential equation, I.

In this paper, we consider the following fractional neutral

parabolic differential equation with proportional delay:

Liu, "Inverse coefficient problems for nonlinear

parabolic differential equations," Acta Mathematica Sinica, vol.

Tian, "Asymptotic stability analysis of the linear [theta]-Method for linear

parabolic differential equations with delay," Journal of Difference Equations and Applications, vol.

Lin, "Determination of a parameter p(t) in some quasi-linear

parabolic differential equations," Inverse Problems, vol.

We notice that in all later published papers the theory of the finite difference method for the

parabolic differential equations with various types of nonlocal conditions was created as fully-implicit or explicit schemes theory.

Zhang, "A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay

parabolic differential equations," Applied Mathematics Letters, vol.

Sun, "A Crank-Nicolson scheme for a class of delay nonlinear

parabolic differential equations," Journal on Numerical Methods and Computer Applications, vol.

Simultaneous space-time adaptive wavelet solution of nonlinear

parabolic differential equations. J.

On nonexistence of global solutions of some semilinear

parabolic differential equations. Proceedings of the Japan Academy, 49(7):503-505, 1973.