A new formula for Adomian polynomials and the analysis of its truncated series solution for fractional non-differentiable initial value problems (Q2874283)
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scientific article; zbMATH DE number 6251727
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new formula for Adomian polynomials and the analysis of its truncated series solution for fractional non-differentiable initial value problems |
scientific article; zbMATH DE number 6251727 |
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29 January 2014
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Adomian polynomials
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fractional differential equations
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truncated series solutions
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fractional initial value problems
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convergence
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error analysis
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numerical examples
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A new formula for Adomian polynomials and the analysis of its truncated series solution for fractional non-differentiable initial value problems (English)
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The author proposes a new formula for Adomian polynomials and applies it to obtain truncated series solutions for fractional initial value problems with nondifferentiable functions. Convergence and error analysis is carried out for the Adomian series solution and numerical examples show the accuracy and efficiency of this formula for solving initial value problems for high-order fractional differential equations.
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