Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Francisco J. Ariza-Hernández"'
Autor:
Ilse Domínguez-Alemán, Itzel Domínguez-Alemán, Juan Carlos Hernández-Gómez, Francisco J. Ariza-Hernández
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 3, Pp 3713-3741 (2024)
In this paper, we study a generalized eco-epidemiological model of fractional order for the predator-prey type in the presence of an infectious disease in the prey. The proposed model considers that the disease infects the prey, causing them to be di
Externí odkaz:
https://doaj.org/article/b7c64d3f3f18429485565d91c180191b
Autor:
Omar U. Lopez-Cresencio, Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre
Publikováno v:
Results in Applied Mathematics, Vol 16, Iss , Pp 100328- (2022)
In this paper, we define a new Riemann–Liouville fractional integral with random order, from this Caputo and Riemann–Liouville fractional derivatives are straightforward obtained, where the fractional order of these operators is a simple random v
Externí odkaz:
https://doaj.org/article/0ae5ce49cf62423f830cec23aa086421
Autor:
Martin P. Arciga-Alejandre, Jorge Sanchez-Ortiz, Francisco J. Ariza-Hernandez, Eduard Garcia-Murcia
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-10 (2021)
Abstract We study an initial-boundary value problem for a n-dimensional stochastic diffusion equation with fractional Laplacian on R + n $\mathbb{R}_{+}^{n}$ . In order to prove existence and uniqueness, we generalize the Fokas method to construct th
Externí odkaz:
https://doaj.org/article/a75e3728506743f1b178ac8fd1d45a35
Autor:
Jorge Sanchez-Ortiz, Omar U. Lopez-Cresencio, Francisco J. Ariza-Hernandez, Martin P. Arciga-Alejandre
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1479 (2021)
In this note, we define an operator on a space of Itô processes, which we call Caputo-Itô derivative, then we considerer a Cauchy problem for a stochastic fractional differential equation with this derivative. We demonstrate the existence and uniqu
Externí odkaz:
https://doaj.org/article/b41d03ce24d04b56b462de890bfd230d
Autor:
Francisco J. Ariza-Hernandez, Martin P. Arciga-Alejandre, Jorge Sanchez-Ortiz, Alberto Fleitas-Imbert
Publikováno v:
Mathematics, Vol 8, Iss 1, p 109 (2020)
In this paper, we consider the inverse problem of derivative order estimation in a fractional logistic model. In order to solve the direct problem, we use the Grünwald-Letnikov fractional derivative, then the inverse problem is tackled within a Baye
Externí odkaz:
https://doaj.org/article/524fe5e55f484f6ea10de82b2aa688bb
Autor:
Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre, Luis X. Vivas-Cruz
Publikováno v:
Journal of Applied Mathematics, Vol 2017 (2017)
We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and a
Externí odkaz:
https://doaj.org/article/89d2445ad1174842af59f0787bf5c7fb
Autor:
Martin P. Arciga-Alejandre, Jorge Sanchez-Ortiz, Francisco J. Ariza-Hernandez, Gabriel Catalan-Angeles
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1330 (2019)
In this work, we propose an efficient multi-stage homotopy perturbation method to find an analytic solution to the fractional Lotka-Volterra model. We obtain its order of accuracy, and we study the stability of the system. Moreover, we present severa
Externí odkaz:
https://doaj.org/article/4da5421dd8524f61bd73b74f59f6ec9e