Application of Adomian Decomposition Method and Variational Iteration Method for the solution of a fractional (arbitrary) order differential equation

• Autorzy: Ray S. S. , Bera R. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the Adomian decomposition method (ADM) and variational iteration method (VIM) are implemented to obtain an approximate solution to a fractional differential equation with an arbitrary order […]. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions to different types of differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The approximate solution obtained using the VIM is exactly the same and in good agreement as that obtained by using the ADM.

Słowa kluczowe

EN

fractional differential equation; Caputo fractional derivative; Mittag-Leffler function; Adomian decomposition method; variational iteration method

PL

ułamkowe równanie różniczkowe; funkcja Mittag-Lefflera

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 4
• Strony: 1169--1173
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Ray S. S.

autor

Bera R. K.

• Heritage Institute of Technology Anandapur, P.O-East Kolkata Township, Kolkata-700107, INDIA,

Bibliografia

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