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A refinement of quasilinearization method for Caputo's sense fractional-order differential equations - MaRDI portal

A refinement of quasilinearization method for Caputo's sense fractional-order differential equations (Q1957591)

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scientific article; zbMATH DE number 5791634
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A refinement of quasilinearization method for Caputo's sense fractional-order differential equations
scientific article; zbMATH DE number 5791634

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    A refinement of quasilinearization method for Caputo's sense fractional-order differential equations (English)
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    27 September 2010
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    Summary: The method of quasilinearization for fractional-order differential equationin Caputo's sense is applied to obtain lower and upper sequences in terms of the solutions of linear fractional-order differential equations in Caputo's sense. It is also shown that these sequences converge to the unique solution of the nonlinear fractional-order differential equation in Caputo's sense uniformly and semiquadratically with less restrictive assumptions.
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