On Sumudu Transform Method in Discrete Fractional Calculus
Copyright policy )On Sumudu Transform Method in Discrete Fractional Calculus
In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We apply this transform to solve some fractional difference initial value problems.
- Çankaya University Turkey
- Eskişehir City Hospital Turkey
Sumudu transform, Numerical Analysis, Applied Mathematics, Statistics, fractional difference initial value problems, Fractional calculus, Pure mathematics, Fractional ordinary differential equations, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Monomial, Dynamic equations on time scales or measure chains, generalized discrete Sumudu transform, Fractional Derivatives, Value (mathematics), Modeling and Simulation, Physical Sciences, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Mathematics
Sumudu transform, Numerical Analysis, Applied Mathematics, Statistics, fractional difference initial value problems, Fractional calculus, Pure mathematics, Fractional ordinary differential equations, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Monomial, Dynamic equations on time scales or measure chains, generalized discrete Sumudu transform, Fractional Derivatives, Value (mathematics), Modeling and Simulation, Physical Sciences, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Mathematics
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