Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method

Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method

We obtain the analytical general solution of the linear fractional differential equations with constant coefficients by Adomian decomposition method under nonhomogeneous initial value condition, which is in the sense of the Caputo fractional derivative.

Bibliographic Details
Main Authors: Jin-Fa Cheng, Yu-Ming Chu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/587068
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spelling doaj-257e95d0fb344b0bbbc0fb31fa35ff7f2020-11-25T00:26:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/587068587068Solution to the Linear Fractional Differential Equation Using Adomian Decomposition MethodJin-Fa Cheng0Yu-Ming Chu1Department of Mathematics, Xiamen University, Xiamen 361005, ChinaDepartment of Mathematics, Huzhou Teachers College, Huzhou 313000, ChinaWe obtain the analytical general solution of the linear fractional differential equations with constant coefficients by Adomian decomposition method under nonhomogeneous initial value condition, which is in the sense of the Caputo fractional derivative.http://dx.doi.org/10.1155/2011/587068
collection DOAJ
language English
format Article
sources DOAJ
author Jin-Fa Cheng
Yu-Ming Chu
spellingShingle Jin-Fa Cheng
Yu-Ming Chu
Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
Mathematical Problems in Engineering
author_facet Jin-Fa Cheng
Yu-Ming Chu
author_sort Jin-Fa Cheng
title Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
title_short Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
title_full Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
title_fullStr Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
title_full_unstemmed Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
title_sort solution to the linear fractional differential equation using adomian decomposition method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description We obtain the analytical general solution of the linear fractional differential equations with constant coefficients by Adomian decomposition method under nonhomogeneous initial value condition, which is in the sense of the Caputo fractional derivative.
url http://dx.doi.org/10.1155/2011/587068
work_keys_str_mv AT jinfacheng solutiontothelinearfractionaldifferentialequationusingadomiandecompositionmethod
AT yumingchu solutiontothelinearfractionaldifferentialequationusingadomiandecompositionmethod
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