Journal of Applied Mathematics

A Note on Fractional Sumudu Transform

V. G. Gupta, Bhavna Shrama, and Adem Kiliçman

Full-text: Open access

Abstract

We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.

Article information

Source
J. Appl. Math., Volume 2010 (2010), Article ID 154189, 9 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.jam/1288619690

Digital Object Identifier
doi:10.1155/2010/154189

Mathematical Reviews number (MathSciNet)
MR2660617

Zentralblatt MATH identifier
1202.26014

Citation

Gupta, V. G.; Shrama, Bhavna; Kiliçman, Adem. A Note on Fractional Sumudu Transform. J. Appl. Math. 2010 (2010), Article ID 154189, 9 pages. doi:10.1155/2010/154189. https://projecteuclid.org/euclid.jam/1288619690


Export citation