Geodesic
Analytical solutions of some general classes of differential and integral equations by using the Laplace and Fourier transforms
Filomat, Tome 34 (2020) no. 9, p. 2869

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DOI

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.
DOI : 10.2298/FIL2009869S
Classification : 34D15, 42A38, 44A10, 33C45
Keywords: Differential equations, Integral equations, Laplace transform, Fourier transform, Analytical solutions, Laguerre polynomials 
H M Srivastava; Mohammad Masjed-Jamei; Rabia Aktaş. Analytical solutions of some general classes of differential and integral equations by using the Laplace and Fourier transforms. Filomat, Tome 34 (2020) no. 9, p. 2869 . doi: 10.2298/FIL2009869S
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     title = {Analytical solutions of some general classes of differential and integral equations by using the {Laplace} and {Fourier} transforms},
     journal = {Filomat},
     pages = {2869 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009869S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009869S/}
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