Analytical Solutions of Some General Classes of Differential and Integral Equations by Using the Laplace and Fourier Transforms

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Srivastava H. M., Masjed-Jamei M., AKTAŞ R.

FILOMAT, vol.34, no.9, pp.2869-2876, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 9
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2009869s
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2869-2876
  • Keywords: Differential equations, Integral equations, Laplace transform, Fourier transform, Analytical solutions, Laguerre polynomials
  • Ankara University Affiliated: Yes

Abstract

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.