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Reproducing Kernel Method for Fractional Riccati Differential Equations

Reproducing kernel method for fractional Riccati differential equations
Authors: Li, X. Y.; Wu, B. Y.; Wang, R. T.;

Reproducing Kernel Method for Fractional Riccati Differential Equations

Abstract

This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of the initial position. Numerical results are compared with some existing methods to show the accuracy and effectiveness of the present method.

Related Organizations
Keywords

QA1-939, Fractional ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations, Mathematics, Theoretical approximation of solutions to ordinary differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Average
gold