Podlubny, I., Chechkin, A., Skovranek, T., Chen, Y. and Jara, B.M.V. (2009) Matrix Approach to Discrete Fractional Calculus II: Partial Fractional Differential Equations. Journal of Computational Physics, 228, 3137-3153.
http://dx.doi.org/10.1016/j.jcp.2009.01.014

has been cited by the following article:

• TITLE: Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem

  AUTHORS: Samaneh Soradi Zeid, Mostafa Yousefi, Ali Vahidian Kamyad

  KEYWORDS: Riemann-Liouville Derivative, Fractional HIV Model, Optimization Linear Programming, Discritezation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.2, June 27, 2016

  ABSTRACT: In this paper, we provide a new approach to solve approximately a system of fractional differential equations (FDEs). We extend this approach for approximately solving a fractional-order differential equation model of HIV infection of CD4+T cells with therapy effect. The fractional derivative in our approach is in the sense of Riemann-Liouville. To solve the problem, we reduce the system of FDE to a discrete optimization problem. By obtaining the optimal solutions of new problem by minimization the total errors, we obtain the approximate solution of the original problem. The numerical solutions obtained from the proposed approach indicate that our approximation is easy to implement and accurate when it is applied to a systems of FDEs.