THE POWERS OF THE DIRAC DELTA FUNCTION BY CAPUTO FRACTIONAL DERIVATIVES C. K. LI - Egyptian Knowledge Bank

308277

THE POWERS OF THE DIRAC DELTA FUNCTION BY CAPUTO FRACTIONAL DERIVATIVES C. K. LI

Article

Last updated: 18 Dec 2024

Subjects

Abstract

One of the problems in distribution theory is the lack of deﬁnitions of products and powers of distributions in general. In this paper, we choose a ﬁxed δ-sequence without compact support and the generalized Taylor's formula based on Caputo fractional derivatives to give meaning to the distributions δk(x) and (δ′)k(x) for some values of k. These can be regarded as powers of
Dirac delta functions.

DOI

10.21608/jfca.2023.308277

Volume

Article Issue

Related Issue

42474

Issue Date

2016-01-01

Receive Date

2023-07-17

Publish Date

2016-01-01

Page Start

Page End

Print ISSN

2090-584X

Online ISSN

2090-5858

Article File

JFCA_Volume 7_Issue 1_Pages 12-23.pdf

PDF . 112.3kB

Link

https://jfca.journals.ekb.eg/article_308277.html

Detail API

https://jfca.journals.ekb.eg/service?article_code=308277

Order

308,277

Publication Type

Journal

Publication Title

Journal of Fractional Calculus and Applications

Publication Link

https://jfca.journals.ekb.eg/

MainTitle