On the Hadamard and Marchaud-Hadamard-Types Mixed Fractional Integro-Differentiation

Makhdior Yakhshiboev

On the Hadamard and Marchaud-Hadamard-Types Mixed Fractional Integro-Differentiation

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Authors

Makhdior Yakhshiboev

Keywords:

Hadamard-type fractional integration, mixed Lebesgue spaces, dilation operator, Hadamard and Marchaud-Hadamard-type fractional derivatives

Abstract

The paper is devoted to integral representations of Marchaud-Hadamard and Marchaud-Hadamard-type truncated mixed fractional derivatives in weighted mixed Lebesgue spaces. Inversion theorems and characterizations of the Hadamard and Hadamard-type mixed fractional integrals of functions in weighted mixed Lebesgue spaces are proven.

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Published

2023-01-01

How to Cite

Yakhshiboev, M. (2023). On the Hadamard and Marchaud-Hadamard-Types Mixed Fractional Integro-Differentiation. Eurasian Mathematical Journal, 14(4), 69–91. Retrieved from https://emj.enu.kz/index.php/main/article/view/299