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Difference method for the differential equation with fractional derivative - MaRDI portal

Difference method for the differential equation with fractional derivative (Q1305859)

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scientific article; zbMATH DE number 1343241
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Difference method for the differential equation with fractional derivative
scientific article; zbMATH DE number 1343241

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    Difference method for the differential equation with fractional derivative (English)
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    22 September 1999
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    This paper deals with a two-point boundary value problem for second-order ordinary differential equation which contains an \(\alpha\)-order Riemann-Liouville fractional derivative. The authors show stability and uniform convergence of the solution of the corresponding difference scheme. An iterative process for solving the obtained algebraic system is discussed.
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    two-point boundary value problem
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    Riemann-Liouville fractional derivative
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    stability
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    uniform convergence
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    difference scheme
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