Numerical Solutions of the Initial Value Problem for Fractional Differential Equations by Modification of the Adomian Decomposition Method
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
de Gruyter Open Ltd
Open Access Color
Green Open Access
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Top 10%
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Abstract
In 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.
Description
Vaezpour, S. Mansour/0000-0003-3909-4203; Khodabakhshi, Neda/0000-0002-6455-7719
Keywords
Fractional Derivative, Modified Decomposition Method, Adomian Polynomials, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., modified decomposition method, fractional derivative, Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Adomian polynomials, Theoretical approximation of solutions to ordinary differential equations
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Khodabakhshi, 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).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
32
Source
Fractional Calculus and Applied Analysis
Volume
17
Issue
2
Start Page
382
End Page
400
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Citations
CrossRef : 17
Scopus : 32
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Mendeley Readers : 14
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