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On the Fractional Derivative of Dirac Delta Function and Its Application
Joint Authors
Feng, Zaiyong
Ye, Linghua
Zhang, Yi
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields.
On the other hand, the fractional-order system gets more and more attention.
This paper investigates the fractional derivative of the Dirac delta function and its Laplace transform to explore the solution for fractional-order system.
The paper presents the Riemann-Liouville and the Caputo fractional derivative of the Dirac delta function, and their analytic expression.
The Laplace transform of the fractional derivative of the Dirac delta function is given later.
The proposed fractional derivative of the Dirac delta function and its Laplace transform are effectively used to solve fractional-order integral equation and fractional-order system, the correctness of each solution is also verified.
American Psychological Association (APA)
Feng, Zaiyong& Ye, Linghua& Zhang, Yi. 2020. On the Fractional Derivative of Dirac Delta Function and Its Application. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127302
Modern Language Association (MLA)
Feng, Zaiyong…[et al.]. On the Fractional Derivative of Dirac Delta Function and Its Application. Advances in Mathematical Physics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1127302
American Medical Association (AMA)
Feng, Zaiyong& Ye, Linghua& Zhang, Yi. On the Fractional Derivative of Dirac Delta Function and Its Application. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127302
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127302