On the Hadamard and Marchaud--Hadamard-types mixed fractional integro-differentiation
Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 69-91

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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.
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     title = {On the {Hadamard} and {Marchaud--Hadamard-types} mixed fractional integro-differentiation},
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M. U. Yakhshiboev. On the Hadamard and Marchaud--Hadamard-types mixed fractional integro-differentiation. Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 69-91. http://geodesic.mathdoc.fr/item/EMJ_2023_14_4_a6/