Determination of the concentration and flow of impurities in a porous medium using the Caputto fractional-order derivative
DOI:
https://doi.org/10.15407/fmmit2026.42.064Keywords:
концентрація та потік речовин, похідні дробових порядків,математичне моделювання, методи розв´язування крайових задачAbstract
Using fractional Caputto derivatives with respect to time, a mathematical model for calculating the concentration and flux of impurities in aqueous solutions of complex porous media was constructed in the work. The problem was solved using the Laplace-Carson integral transform. Finding the original images using the Mittag-Leffler function and through exponential series expansion was analyzed. The behavior of the concentration for large and small times was found. A computational experiment was conducted.
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