Journal
FILOMAT
Volume 34, Issue 9, Pages 2869-2876Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2009869S
Keywords
Differential equations; Integral equations; Laplace transform; Fourier transform; Analytical solutions; Laguerre polynomials
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Funding
- Alexander von Humboldt Foundation [3.4-IRN-1128637-GF-E]
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This article deals with a general class of differential equations and two general classes of integral equations. By using the Laplace transform and the Fourier transform, analytical solutions are derived for each of these classes of differential and integral equations. Some illustrative examples and particular cases are also considered. The various analytical solutions presented in this article are potentially useful in solving the corresponding simpler differential and integral equations.
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