КРАЙОВІ ЗАДАЧІ ДРОБОВО-ДИФЕРЕНЦІЙНОЇ КОНСОЛІДАЦІЙНОЇ ДИНАМІКИ ДЛЯ МОДЕЛІ З ПОХІДНОЮ КАПУТО–ФАБРІЦІО.
| Autor: | БУЛАВАЦЬКИЙ, В. М. |
|---|---|
| Zdroj: | Cybernetics & Systems Analysis / Kibernetiki i Sistemnyj Analiz; 2023, Issue 4, p159-168, 10p |
| Abstrakt: | Closed-form solutions to some boundary-value problems of fractional-differential filtration-consolidation dynamics with respect to the non-classical mathematical model taking into account the space-time nonlocality of the process are obtained. This mathematical model is formulated using the Caputo–Fabrizio derivative for the time variable and the Riemann-Liouville derivative for the geometric variable. Along with the direct consolidation problem for an array of finite thickness, the inverse boundary-value problems are considered to determine the unknown source functions that only depend on the geometric or time variable. Conditions for the existence of regular solutions to the considered problems are given. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
| Externí odkaz: |
|