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On some explicit Adams multistep methods for fractional differential equations

โœ Scribed by Roberto Garrappa

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
781 KB
Volume
229
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper we present a family of explicit formulas for the numerical solution of differential equations of fractional order. The proposed methods are obtained by modifying, in a suitable way, Fractional-Adams-Moulton methods and they represent a way for extending classical Adams-Bashforth multistep methods to the fractional case. The attention is hence focused on the investigation of stability properties. Intervals of stability for k-step methods, k = 1, . . . , 5, are computed and plots of stability regions in the complex plane are presented.

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