A New Transform Method in Nabla Discrete Fractional Calculus
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Date
2012
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Springer
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GOLD
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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.
Description
Keywords
Discrete Sumudu Transform, Fractional Sums, Fractional Differences, Convolution, Time Scale, Mathematical analysis, Quantum mechanics, Differential equation, Nabla symbol, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Omega, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Geometry and Topology, Analysis, Mathematics, Ordinary differential equation, Rogue Waves in Nonlinear Systems, Fractional derivatives and integrals, fractional sums, discrete Sumudu transform, convolution, time scale, Discrete operational calculus, fractional differences, Special integral transforms (Legendre, Hilbert, etc.)
Fields of Science
01 natural sciences, 0101 mathematics
Citation
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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Q1
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OpenCitations Citation Count
7
Source
Advances in Difference Equations
Volume
2012
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