Solvability in Hölder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion Equation


  • M. V. Krasnoschok Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 1 Dobrovol'skogo Str., Slov'yansk 84100, Ukraine



Розглянуто початково-крайову задачу для рівняння дифузії  з дробовою  похідною за часом зі змішаними крайовими умовами. Доведено теорему існування та єдиності розв’язку цієї задачі в просторах Гьольдера.

Mathematics Subject Classification: 35B65, 26A33.

Ключові слова:

Дифузія дробового порядку, простір Гьольдера, похідна Капуто


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Як цитувати

Krasnoschok, M. V. Solvability in Hölder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion Equation. Журн. мат. фіз. анал. геом. 2016, 12, 48-77.





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