The Laplace transform in discrete fractional calculus

作者：Holm Michael T^*

来源：Computers & Mathematics with Applications, 2011, 62(3): 1591-1601.

DOI：10.1016/j.camwa.2011.04.019

• Discrete fractional calculus
• Laplace transform
• Fractional initial value problem
• Taylor monomial
• Convolution
• Exponential order

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.

• 出版日期2011-8