TITLE:
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
AUTHORS:
Tohru Morita, Ken-ichi Sato
KEYWORDS:
Laplace’s Differential Equation; Kummer’s Differential Equation; Fractional Differential Equation; Inhomogeneous Equation; Distribution Theory; Operational Calculus
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.11A,
October
31,
2013
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.