A Note on Fractional Sumudu Transform

V. G. Gupta, Bhavna Shrama and Adem Kiliçman

Journal of Applied Mathematics, 2010, vol. 2010, 1-9

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:154189

DOI: 10.1155/2010/154189

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