Note on Elzaki Transform of Distributions and Certain Space of Boehmians

Dr. S.K.Q.AL-OMARI

Note on Elzaki Transform of Distributions and Certain Space of Boehmians

Dr. S.K.Q.AL-OMARI * §

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§ Al-balqa Applied University Jordan

Note on Elzaki Transform of Distributions and Certain Space of Boehmians

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Abstract

The Elzaki transform transform was discussed in [19] as a motivation of the classical Sumudu transform. In this article, we extend the Elzaki transform to a space of tempered distributions (distributions of slow growth) by known kernel method. Further, we establish two spaces of Boehmians so that the Elzaki transform is well de.ned. Certain theorems are established in some details.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. S.K.Q.AL-OMARI, Dr. S.K.Q.AL-OMARI. 2012. "Note on Elzaki Transform of Distributions and Certain Space of Boehmians". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F1).

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GJSFR Volume 12 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Boehmian Space Elzaki Transform Generalized function Sumudu transform Tempered Distribution

Classification

1991 Mathematics Subject ClassiÃ–cation. Primary 54C40

14E20; Secondary 46E25

20C20.

Submission ReceivedJanuary 12, 2012
Peer Review Double Blind
Handling Editor
Accepted February 1, 2012
Published February 12, 2012

Version of record

v1.2

Issue date

December 10, 2012

Language

English

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Article Matrices

Total Score: 150

Country: Jordan

Subject: Global Journal of Science Frontier Research

Authors: Dr. S.K.Q.AL-OMARI (PhD/Dr. count: 1)

View Count (all-time): 242

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Total Downloads (simulated): 69

Publish Date: 2012 02, Sun

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Total Views: 1.2K

Total Downloads: 69

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