Changqing Yang, Jianhua Hou, "Numerical Solution of Integro-Differential Equations of Fractional Order by Laplace Decomposition Method," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Changqing Yang, Jianhua Hou. Numerical Solution of Integro-Differential Equations of Fractional Order by Laplace Decomposition Method.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Numerical Solution of Integro-Differential Equations of Fractional Order by Laplace Decomposition Method
Authors: ,
Abstract: In this paper, Laplace decomposition method is developed to solve linear and nonlinear fractional integro- differential equations. The proposed method is based on the application of Laplace transform to nonlinear frac- tional integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polyno- mials. The fractional derivative is described in the Caputo sense. The Laplace decomposition method is found to be fast and accurate. Illustrative examples are included to demonstrate the validity and applicability of presented technique and comparison is made with exacting results.
Keywords:
integro-differential equations, Laplace transform, fractional derivative, Adomian polynomials, Pade approximants
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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