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

Tohru Morita; Ken-ichi Sato

doi:10.4236/am.2013.411A1003

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Applied Mathematics > Vol.4 No.11A, November 2013

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

Tohru Morita, Ken-ichi Sato

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

DOI: 10.4236/am.2013.411A1003 PDF HTML XML 4,553 Downloads 6,158 Views Citations

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

Share and Cite:

T. Morita and K. Sato, "Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type," Applied Mathematics, Vol. 4 No. 11A, 2013, pp. 13-21. doi: 10.4236/am.2013.411A1003.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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