Numerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition method

Khodabakhshi, NedaBaleanu, DumitruVaezpour, S. MansourBaleanu, DumitruMatematik2020-05-152020-05-152014Khodabakhshi, Neda; Vaezpour, SM; Baleanu, Dumitru, "Numerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition method" Fractional Calculus and Applied Analysis, Vol.17, No.2, pp.382-400, (2014).1311-04541314-2224https://doi.org/10.2478/s13540-014-0176-2Vaezpour, S. Mansour/0000-0003-3909-4203; Khodabakhshi, Neda/0000-0002-6455-7719In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations. In order to confirm the applicability and the advantages of our approach, we consider some illustrative examples.eninfo:eu-repo/semantics/openAccessFractional DerivativeModified Decomposition MethodAdomian PolynomialsNumerical solutions of the initial value problem for fractional differential equations by modification of the adomian decomposition methodNumerical Solutions of the Initial Value Problem for Fractional Differential Equations by Modification of the Adomian Decomposition MethodArticle17238240010.2478/s13540-014-0176-22-s2.0-84896913803WOS:000333204100009Q1Q1