Advances in Analysis

Download PDF (470.8 KB) PP. 35 - 40 Pub. Date: January 15, 2017

DOI: 10.22606/aan.2017.11006

• Tinggang Zhao^*
  School of Mathematics, Lanzhou City University, Lanzhou, Gansu, China

In this paper, we consider some interpolations of Birkhoff-type with fractional-order derivative. The Birkhoff interpolations is related with collocation method for the corresponding initial or boundary value problems of differential equations of fractional-order. The solvability of the interpolation problems is studied. For Gauss-type interpolating points, error of interpolation approximation is deduced.

Birkhoff interpolation, collocation method, fractional calculus.

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