On defining the distributions δr $\delta^{r}$ and (δ′)r $(\delta ^{\prime})^{r}$ by conformable derivatives
Abstract In this paper, starting from a fixed δ-sequence, we use the generalized Taylor’s formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function δr $\delta ^{r}$ and (δ′)r $(\delta^{\prime})^{r}$ for any r∈R $r\in \mathbb{R}$.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-11-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1865-7 |