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

AM > Vol.4 No.11, November 2013

Applied Mathematics

Volume 4, Issue 11 (November 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

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

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Download as PDF (Size: 272KB) PP. 13-21

DOI: 10.4236/am.2013.411A1003 4,858 Downloads 7,112 Views Citations

Author(s)

Tohru Morita, Ken-ichi Sato

Affiliation(s)

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

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.

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