Sanchez-Ortiz, J., Lopez-Cresencio, O. U., Arciga-Alejandre, M. P., & Ariza-Hernandez, F. J. (2025). A Random Riemann–Liouville Integral Operator. Mathematics, 13(15), 2524. https://doi.org/10.3390/math13152524.
Arenas-Peñaloza, J. A., Silvera Sarmiento, A., Rodríguez-Vásquez, F. M., Ariza-Hernandez, F. J., Rodríguez-Nieto, C. A., & Iguarán Jiménez, A. M. (2025). Exploring in-service university teachers’ beliefs about the design of mathematical tasks. Eurasia Journal of Mathematics, Science and Technology Education, 21(8), em2673. https://doi.org/10.29333/ejmste/16641.
Eduard A. Garcia-Murcia. Martin P. Arciga-Alejandre. Jorge Sanchez-Ortiz. Francisco J. Ariza-Hernandez. "FRACTIONAL BENJAMIN–BONA–MAHONY–BURGES EQUATIONS ON BOUNDED DOMAINS." J. Integral Equations Applications 37 (1) 57 - 64, Spring 2025. https://doi.org/10.1216/jie.2025.37.57.
García-Salmerón, V. N., Rodríguez-Vásquez, F. M., & Ariza-Hernandez, F. J. (2025). Modeling the understanding of the vector concept by a Bayesian multidimensional item response model. Eurasia Journal of Mathematics, Science and Technology Education, 21(1), em2566. https://doi.org/10.29333/ejmste/15856.
Ariza-Hernandez, Francisco J.; Najera-Tinoco, Juan Carlos; Arciga-Alejandre, Martin Patricio; Castañeda-Saucedo, Eduardo; Sanchez-Ortiz, Jorge. (2024) Bayesian inverse problem for a fractional diffusion model of cell migration. Mathematical Biosciences and Engineering, 21(4): 5826-5837. doi: 10.3934/mbe.2024257.
Domínguez-Alemán, Ilse; Domínguez-Alemán, Itzel; Hernández-Gómez, Juan Carlos, Ariza-Hernández, Francisco J. (2024). A predator-prey fractional model with disease in the prey species[J]. Mathematical Biosciences and Engineering, 21(3): 3713-3741. doi: 10.3934/mbe.2024164.
Pérez Peña, Y; Ortíz Sánchez, J; Ariza Hernández, F J; Árciga Alejandre, M P. August 2023. Initial-boundary value problem for a fractional heat equation on an interval, IMA Journal of Applied Mathematics, Volume 88, Issue 4, Pages 632–643, https://doi.org/10.1093/imamat/hxad029.
Lopez-Cresencio, Omar U; Ariza-Hernandez, Francisco J.; Sanchez-Ortiz, Jorge; Arciga-Alejandre, Martin P. (2022). A boundary value problem for a random-order fractional differential equation. Results in Applied Mathematics, Volume 16,100328, ISSN 2590-0374, https://doi.org/10.1016/j.rinam.2022.100328.
Gálvez Marroquín, L A; Martinez Bolaños, M; Cruz Chávez, M A; Ariza Flores, R; Cruz López, J A; Magaña Lira, N; Cruz de la Cruz, L L; Ariza Hernandez, F J. (2022) Inhibition of mycelial growth and conidium germination of Colletotrichum sp. for organic and inorganic products. (2022). Agro Productividad, vol II. https://doi.org/10.32854/agrop.v15i2.2051.
Ariza-Hernandez, Francisco J.; Martin-Alvarez, Luis M.; Arciga-Alejandre, Martin P.; Sanchez-Ortiz, Jorge. (2021) Bayesian inversion for a fractional Lotka-Volterra model: An application of Canadian lynx vs. snowshoe hares. Chaos, Solitons & Fractals, Volume 151, 111278, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2021.111278.
Sanchez-Ortiz, J., Lopez-Cresencio, O. U., Ariza-Hernandez, F. J., & Arciga-Alejandre, M. P. (2021). Cauchy Problem for a Stochastic Fractional Differential Equation with Caputo-Itô Derivative. Mathematics, 9(13), 1479. https://doi.org/10.3390/math9131479.
Arciga-Alejandre, M.P., Sanchez-Ortiz, J., Ariza-Hernandez, F.J. . (2021). A Neumann problem for a diffusion equation with n-dimensional fractional Laplacian. Adv Differ Equ, 255 (2021). https://doi.org/10.1186/s13662-021-03413-w.
Ariza-Hernandez, Francisco J. & Gutiérrez-Peña, Eduardo (2021). Bayesian analysis of an item response model withan AEP-based link function. Vol. 12, No. 1, 103–12.
Rodríguez-Vásquez, F. M., & Ariza-Hernandez, F. J. (2021). Bayesian Assessment of Undergraduate Students About the Real Function Mathematical Concept. Eurasia Journal of Mathematics, Science and Technology Education, 17(3), em1949. https://doi.org/10.29333/ejmste/10776.
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.
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.
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.
Ariza-Hernández, F. J., Godínez-Jaimes, F., and Reyes-Carreto, R. (2016). Bayesian estimation of the log-linear exponential regression model with censorship and collinearity. Communications in Statistics-Simulation and Computation, 45 (2016), no. 1, 152–164.
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.
Capítulos de Libros
Vivas-Cruz, L. X., Ariza-Hernández, F. J., Árciga-Alejandre, M. P., y Sánchez-Ortiz, J. (2017). Análisis Bayesiano para una familia de modelos de crecimiento poblacional. En Rodríguez-Yam, G. A., et. al. (Eds.). Aportaciones Recientes a la Estadística en México, Capítulo 17, 142-149. ISBN 978-607-530-067-2.
