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Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
Tohoku University, Sendai, Japan
College of Engineering, Nihon University, Koriyama, Japan
- 1 Tohoku University, Sendai, Japan
- 2 College of Engineering, Nihon University, Koriyama, Japan
Applied Mathematics·Volume 04 (2013)·Pages 13–21·Published 16 October 2013·DOI10.4236/am.2013.411A1003
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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.
KeywordsLaplace’s Differential EquationKummer’s Differential EquationFractional Differential EquationInhomogeneous EquationDistribution TheoryOperational Calculus
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