Визначення концентрації та потоку домішкових речовин у пористому тілі з використанням похідної дробового порядку Капутто
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...
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| Date: | 2026 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2026
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/434 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
| Download file: |  |
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Physico-mathematical modeling and informational technologies| Summary: | 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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| DOI: | 10.15407/fmmit2026.42.064 |