Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

Tohru Morita, Ken-ichi Sato

College of Engineering, Nihon University, Koriyama, Japan.
Tohoku University, Sendai, Japan.

DOI: 10.4236/am.2013.411A1003                

Abstract

We discuss the solution of Laplace’s differential equation by using operational calculus in the framework of distribution theory. We here study the solution of that differential Equation with an inhomogeneous term, and also a fractional differential equation of the type of Laplace’s differential equation.

Keywords

Laplace’s Differential Equation; Kummer’s Differential Equation; Fractional Differential Equation; Inhomogeneous Equation; Distribution Theory; Operational Calculus

Conflicts of Interest

The authors declare no conflicts of interest.

References

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