Applied Mathematics

Volume 4, Issue 11 (November 2013)

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

Google-based Impact Factor: 0.58  Citations  

Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

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DOI: 10.4236/am.2013.411A1005    4,973 Downloads   7,782 Views  Citations

ABSTRACT

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.

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T. Morita and K. Sato, "Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type," Applied Mathematics, Vol. 4 No. 11A, 2013, pp. 26-36. doi: 10.4236/am.2013.411A1005.

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