We discuss the
solution of Laplace’s differential equation and a fractional differential
equation of that type, by using analytic continuations of Riemann-Liouville
fractional derivative and of Laplace transform. We show that the solutions,
which are obtained by using operational calculus in the framework of
distribution theory in our preceding papers, are obtained also by the present method.
Cite this paper
Morita, T. and Sato, K. (2014) Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform. Applied Mathematics
, 1229-1239. doi: 10.4236/am.2014.58115
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 Morita, T. and Sato, K. (2013) Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type. Applied Mathematics, 4, 1321. http://dx.doi.org/10.4236/am.2013.411A1003
 Morita, T. and Sato, K. (2013) Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type. Applied Mathematics, 4, 2636. http://dx.doi.org/10.4236/am.2013.411A1005
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