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2010 A Note on Fractional Sumudu Transform
V. G. Gupta, Bhavna Shrama, Adem Kiliçman
J. Appl. Math. 2010: 1-9 (2010). DOI: 10.1155/2010/154189


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.


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V. G. Gupta. Bhavna Shrama. Adem Kiliçman. "A Note on Fractional Sumudu Transform." J. Appl. Math. 2010 1 - 9, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1202.26014
MathSciNet: MR2660617
Digital Object Identifier: 10.1155/2010/154189

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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