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Numerical method for a system of Caputo fractional differential equations with non-local boundary conditions

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초록

A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order $\kappa-1$, $1<\kappa<2$. Numerical examples are given which validate our theoretical results.

Abstract

A class of systems of Caputo fractional differential equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a uniform mesh is proposed. Supremum norm is used to derive an error estimate which is of order $\kappa-1$, $1<\kappa<2$. Numerical examples are given which validate our theoretical results.

참고문헌 (27)

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