Refaad for Studies, Research and Developement
On Katugampola Laplace transform
2519-9269 (Print)
2519-9277 (Online)
Volume 9
Issue 2
2020
Dec
0
On Katugampola Laplace transform
93
100
English
Mohammed S. El-KhatibDepartment of Mathematics, Al-Azhar Universiry-Gaza, Palestine msmkhatib@yahoo.com
Tariq O. SalimDepartment of Mathematics, Al-Azhar Universiry-Gaza, Palestinetrsalim@yahoo.com
Atta A.K. Abu HanyDepartment of Mathematics, Al-Azhar Universiry-Gaza, Palestineattahany@gmail.com
https://doi.org/10.31559/glm2020.9.2.5
The aim of this article is to introduce a new form for the Laplace transform. This new definition will be considered as
one of the generalizations of the usual (classical) Laplace transform. We employ the new ā€¯Katugampola derivativeā€¯, which
obeys classical properties and define Katugampola Laplace transform. We obtain some properties of this transform and find the
relation between the Katugampola Laplace transform and the usual Laplace one.
Katugampola derivative; Katugampola Laplace transform
http://www.refaad.com/views/GLM/925.html
http://www.refaad.com/Files/GLM/GLM-9-2-5.pdf