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On the Hadamard and Marchaud–Hadamard-types mixed fractional integro-differentiation
M. U. Yakhshiboev Samarkand Branch,
Tashkent University of Information Technologies,
named after Muhammad al-Khwarizmi,
47a Shohruh Mirzo St, Samarkand, 140100, Uzbekistan
Аннотация:
The paper is devoted to the integral representations of the Marchaud-Hadamard and
Marchaud-Hadamard-type truncated mixed fractional derivatives in weighted mixed Lebesgue spaces.
Inversion theorems and characterization of tne Hadamard and Hadamard-type mixed fractional integrals of functions in weighted mixed Lebesgue spaces are proven.
Ключевые слова и фразы:
Hadamard-type fractional integration, mixed Lebesgue spaces, dilation operator, the Hadamard and Marchaud-Hadamard-type fractional derivatives.
Поступила в редакцию: 26.02.2020 Принята в печать: 09.09.2023
Образец цитирования:
M. U. Yakhshiboev, “On the Hadamard and Marchaud–Hadamard-types mixed fractional integro-differentiation”, Eurasian Math. J., 14:4 (2023), 69–91
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj485 https://www.mathnet.ru/rus/emj/v14/i4/p69
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