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Your search keyword '"Fractional integral"' showing total 2 results
Start Over Descriptor "Fractional integral" Topic adomian decomposition method Topic decomposition method
2 results on '"Fractional integral"'

1. Solving a multi-order fractional differential equation using adomian decomposition

Author

Daftardar-Gejji, Varsha and Jafari, Hossein

Subjects
*DIFFERENTIAL equations, *DECOMPOSITION method, *MATHEMATICAL programming, *ALGORITHMS
Abstract

Abstract: An algorithm has been developed to convert the multi-order fractional differential equation:where m < α ⩽ m +1, 0< β 1 < β 2 <⋯< β n < α and denotes Caputo fractional derivative of order α into a system of fractional differential equations. Further Adomian decomposition method has been employed to solve the system of fractional differential equations. Some illustrative examples are presented. [Copyright &y& Elsevier]

Published
2007
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2. An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

Author

Saha Ray, S. and Bera, R.K.

Subjects
*DECOMPOSITION method, *SYSTEM analysis, *DIFFERENTIAL equations, *FRACTIONAL integrals, *OPERATIONS research
Abstract

Abstract: The aim of the present analysis is to apply Adomian decomposition method for the solution of a nonlinear fractional differential equation. Finally, the solution obtained by the decomposition method has been numerically evaluated and presented in the form of tables and then compared with those obtained by truncated series method. A good agreement of the results is observed. [Copyright &y& Elsevier]

Published
2005
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