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The Laplace transform in discrete fractional calculus
Authors:Michael T Holm
Affiliation:
  • The University of Nebraska-Lincoln, 203 Avery Hall, Lincoln, NE 68588, United States
  • Abstract:We develop properties of the Laplace Transform in a discrete, fractional calculus setting, giving a precise treatment to convergence along the way. The end goal is to apply the Laplace Transform Method to solve a fractional initial value problem.
    Keywords:Discrete fractional calculus  Laplace transform  Fractional initial value problem  Taylor monomial  Convolution  Exponential order
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