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