Dr. Martín Patricio Árciga Alejandre

Productividad Académica



  • Peña-Pérez, Y., Abreu-Blaya, R., Árciga-Alejandre, M. P., and Bory-Reyes, J. (2020). Biquaternionic reformulation of a fractional monochromatic Maxwell system. Advances in High Energy Physics, 1-9. 10.1155/2020/6894580.

  • Ariza-Hernández, F. J., Árciga-Alejandre, M. P., Sánchez-Ortiz, J., and Fleitas-Imbert, A. (2020). Bayesian Derivative Order Estimation for a Fractional Logistic Model. Mathematics, 8(1), Paper No. 109, 1-9. 10.3390/math8010109.1.

  • Árciga-Alejandre, M. P., Sánchez-Ortiz, J., Ariza-Hernández, F. J., and Catalán-Ángeles, G. (2019). A Multi-Stage Homotopy Perturbation Method for the Fractional Lotka-Volterra Model.  Symmetry, 11(11), Paper No. 1330. https://doi.org/10.3390/sym11111330.

  • Árciga-Alejandre, M. P., and Kaikina, E. I. (2019). Multidimensional inhomogeneous mixed initial-boundary value problem for the nonlinear Schrödinger equation. Journal of Differential Equations, 267(10), 5736–5774. 
  • Sánchez-Ortiz, J., Ariza-Hernández, F. J., Árciga-Alejandre, M. P., and García-Murcia, E. A. (2019). Stochastic diffusion equation with fractional Laplacian on the first quadrant. Fractional Calculus and Applied Analysis, 22(3), 795–806.

  • Bory-Reyes, J., Abreu-Blaya, R., Árciga-Alejandre, M. P., and Peña-Pérez, Y. (2018). Riemann and Dirichlet type problems for hyperanalytic functions in fractal domains. Complex Analysis and Operator Theory, 12(5), 1369–1382.

  • Peña-Pérez, Y., Árciga-Alejandre, M. P., Abreu-Blaya, R., and Bory-Reyes, J. (2017).  Hölder norm estimate for the fractal Hilbert transform in Douglis analysis. Journal of Inequalities and Applications, Paper No. 213, 1-11.

  • Ariza-Hernández, F. J., Sánchez-Ortiz, J., Árciga-Alejandre, M. P., and Vivas-Cruz, L. X. (2017). Bayesian analysis for a fractional population growth model. Journal of Applied Mathematics, Art. ID 9654506, 9 pp.
  • Árciga-Alejandre, M. P., Ariza-Hernández, F. J., Sánchez-Ortiz, J., and Salmerón-Rodríguez, U. (2016). Fractional Stochastic Heat Equation on the Half-Line. Applied Mathematical Sciences, 10(62), 3095-3105. 10.12988/ams.2016.69243. 

  • Sánchez-Ortiz, J., Árciga-Alejandre, M. P., Ariza-Hernández, F. J., and Hernández-Pastrana, J. C. (2016). Stochastic Black-Scholes equation with time-fractional derivative on the half-line. International Journal of Pure and Applied Mathematics, 108(1), 159-168. 10.12732/ijpam.v108i1.14.

  • Árciga-Alejandre, M. P. (2015). Nonlinear initial boundary-value problems with Riesz fractional derivative. Electronic Journal of Differential Equations, 2015(281), 1-24.

  • Árciga-Alejandre, M. P., Ariza-Hernández, F. J., and Sánchez-Ortiz, J. (2015). Stochastic evolution equation with Riesz-fractional derivative and white noise on the half-line. Applied Numerical Mathematics, 104, 103-109.