A Note on Fractional Sumudu Transform

V. G. Gupta, Bhavna Shrama and Adem Kiliçman

Journal of Applied Mathematics, 2010, vol. 2010, issue 1

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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https://doi.org/10.1155/2010/154189

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2010:y:2010:i:1:n:154189

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