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Localized fractional derivative of Djrbashian–Caputo type
Integral Transforms and Special Functions ( IF 1 ) Pub Date : 2021-02-08 , DOI: 10.1080/10652469.2021.1877288
A. P. Grinko 1
Affiliation  

ABSTRACT

Sufficient conditions are obtained for which localized fractional derivatives of the Riemann–Liouville and Marshaud type can be represented as localized fractional derivatives of Djrbashian–Caputo type. The compositional properties of localized fractional derivatives and ordinary derivatives are proved. The localized derivatives for the exponential, trigonometric, power and Weierstrass's functions are calculated.



中文翻译:

Djrbashian-Caputo 型局部分数阶导数

摘要

获得了足够的条件,对于这些条件,黎曼-刘维尔和马绍型的定域分数阶导数可以表示为 Djrbashian-Caputo 型的定域分数阶导数。证明了定域分数阶导数和普通导数的组成性质。计算指数函数、三角函数、幂函数和魏尔斯特拉斯函数的局部导数。

更新日期:2021-02-08
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