On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy. - Ahmed S. Hendy; Jorge Eduardo Macías-Díaz; Adán J. Serna-Reyes (J. Comput. Appl. Math., 2019)

Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system. - Adán J. Serna-Reyes; Jorge Eduardo Macías-Díaz (J. Comput. Appl. Math., 2022)

A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation. - Jorge Eduardo Macías-Díaz; Adán J. Serna-Reyes; Luis A. Flores-Oropeza (J. Comput. Appl. Math., 2024)

A convergent two-step method to solve a fractional extension of the Rosenau-Kawahara system. - Adán J. Serna-Reyes; Siegfried Macías; Armando Gallegos; Jorge Eduardo Macías-Díaz (J. Comput. Appl. Math., 2025)