Some Remarks on the Fractional Sumudu Transform and Applications

Authors

Adem Kılıçman, Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
Omer Altun

Author Country (or Countries)

Malaysia

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://digitalcommons.aaru.edu.jo/amis/vol08/iss6/25