Tohoku University, Sendai, Japan. College of Engineering, Nihon University, Koriyama, Japan.
In a preceding paper, we discussed the solution of Laplace’s differential equation by using operational calculus in the framework of distribution theory. We there studied the solution of that differential equation with an inhomogeneous term, and also a fractional differential equation of the type of Laplace’s differential equation. We there considered derivatives of a function
on 
, when 
is locally integrable on 
, and the integral 
converges. We now discard the last condition that 
should converge, and discuss the same problem. In Appendices, polynomial form of particular solutions are given for the differential equations studied and Hermite’s differential equation with special inhomogeneous terms.
T. Morita and K. Sato, "Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type," Applied Mathematics, Vol. 4 No. 11, 2013, pp. 26-36. doi: 10.4236/am.2013.411A1005.
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