FEATURES OF FRACTIONAL APPLICATION DERIVATIVES FOR MODELING TEMPERATURE AND MASS TRANSFER IN NON-EQUILIBRIUM CONDITIONS
DOI:
https://doi.org/10.34185/1991-7848.itmm.2022.01.033Ключові слова:
fractal environment, equations with fractional derivative, anomal diffusion (heat conductivity), thermoelasticity, laplace transform, function mittag - leflera, qualitative and quantitative regularitiesАнотація
A new class of problems on heat and mass transfer in fractal media, which is extremely topical for polymer structures, percolation clusters, amorphous semiconductors, porous materials, etc., is considered. The ideology of considering these problems stems from deep statistical, thermodynamic considerations and mathematically reduces to solving differential equations with fractional derivatives with respect to time and spatial variables.
Посилання
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