A new transform method in nabla discrete fractional calculus
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Date
2012
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Springer
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Abstract
Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional sums, and differences. We apply this transform to solve some fractional difference equations with initial value problems. MSC: 44A15, 44A55.
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Discrete Sumudu Transform, Fractional Sums, Fractional Differences, Convolution, Time Scale
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Jarad, F., Kaymakçalan, B., Taş, K. (2012). A new transform method in nabla discrete fractional calculus. Advance in Difference Equations. http://dx.doi.org/10.1186/1687-1847-2012-190
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