SCIENTIFIC PRODUCTS
Selected journal articles, theses, and conference work in fractional calculus, reservoir modeling, growth models, and water infiltration.
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Publication records link to the publisher DOI or the institutional repository.
Energies, 15(13), 4837
A spatially fractional Darcy law is developed for anomalous flow in naturally fractured reservoirs and compared with fractal-geometry models.
Mathematics, 10(5), 825
A delayed fractional growth model is used to describe recurrent COVID-19 outbreaks in Mexico, the United States, and Russia.
Mathematics, 9(16), 1915
A generalized fractional growth model is applied to cumulative COVID-19 case data and multiple sigmoidal behaviors.
Mathematics, 9(4), 383
Fractional time derivatives are applied to horizontal and vertical infiltration, including asymptotic behavior in different soils.
Mathematical and Computational Applications, 25(4), 74
A quasi-analytical triple-porosity and triple-permeability reservoir model incorporates fractional-time flow behavior.
Doctorado en Ciencias Matemáticas, Universidad Nacional Autónoma de México
Doctoral thesis on coupled spatial and temporal fractional derivatives in triple-porosity, triple-permeability flow models.
Licenciatura en Matemáticas Aplicadas, Universidad Autónoma de Querétaro
Design and implementation of a mathematical library that uses a graphics processing unit for computation.
Sexto Congreso Nacional de Riego, Drenaje y Biosistemas, COMEII-21024
Analyzes water infiltration from a buried porous-wall pipe, including an analytical approximation applied to the Valle de Guadalupe.