Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations

• Autores: A. M. A. El-Sayed, I.L. El Kalla, E.A.A. Ziada
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 8, 2010, págs. 788-797
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.02.007
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• Resumen

  • We are concerned here with a multi-term nonlinear fractional differential equation (FDE). Two methods are used to solve this type of equations. The first is an analytical method; Adomian decomposition method (ADM). Convergence analysis of this method is discussed. This analysis is used to estimate the maximum absolute truncated error of Adomian's series solution. The second method is a proposed numerical method (PNM). A comparison between the results of the two methods is given. One of the important applications of these equations is Bagley�Torvik equation.