Analysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive grid

Analysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive grid

A nonlinear initial value problem whose differential operator is a Caputo derivative of order α with 0<α<1 is studied. By using the Riemann-Liouville fractional integral transformation, this problem is reformulated as a Volterra integral equation, which is discretized by using the right rectan...

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Bibliographic Details
Main Authors: Yong Zhang, Xiaobing Bao, Li-Bin Liu, Zhifang Liang
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
caputo fractional derivative
initial value problem
adaptive grid
mesh equidistribution
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021500?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021500?viewType=HTML

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