On the approximation to fractional calculus operators with multivariate Mittag-Leffler function in the kernel (Q6593321)
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scientific article; zbMATH DE number 7901804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the approximation to fractional calculus operators with multivariate Mittag-Leffler function in the kernel |
scientific article; zbMATH DE number 7901804 |
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On the approximation to fractional calculus operators with multivariate Mittag-Leffler function in the kernel (English)
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26 August 2024
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The Caputo type fractional derivative operator containing the multivariate Mittag-Leffler function in the kernel is introduced, and its fractional calculus properties are investigated. Furthermore, the fractional integral and Caputo derivative operators containing multivariate Mittag-Leffler function in the kernel are approximated, the error of approximation in terms of modulus of continuity and Hölder continuous functions is obtained.
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fractional calculus
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multivariate Mittag-Leffler function
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Bernstein-Kantorovich operators
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Laplace transform
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modulus of continuity
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