Abstract
In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann - Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.12785/amis/080625
Recommended Citation
Kılıçman, Adem and Altun, Omer
(2014)
"Some Remarks on the Fractional Sumudu Transform and Applications,"
Applied Mathematics & Information Sciences: Vol. 08
:
Iss.
6
, Article 25.
DOI: http://dx.doi.org/10.12785/amis/080625
Available at:
https://dc.naturalspublishing.com/amis/vol08/iss6/25