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Calcolo
Published in: Calcolo 2/2021

01-06-2021

Spectral collocation method for nonlinear Riemann–Liouville fractional differential system

Authors: Zhendong Gu, Yinying Kong

Published in: Calcolo | Issue 2/2021

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Abstract

The spectral collocation method is investigated for the system of nonlinear Riemann–Liouville fractional differential equations (FDEs). The main idea of the presented method is to solve the corresponding system of nonlinear weakly singular Volterra integral equations obtained from the system of FDEs. In order to carry out convergence analysis for the presented method, we investigate the regularity of the solution to the system of FDEs. The provided convergence analysis result shows that the presented method has spectral convergence. Theoretical results are confirmed by numerical experiments. The presented method is applied to solve multi-term nonlinear Riemann–Liouville fractional differential equations and multi-term nonlinear Riemann–Liouville fractional integro-differential equations.
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Metadata
Title
Spectral collocation method for nonlinear Riemann–Liouville fractional differential system
Authors
Zhendong Gu
Yinying Kong
Publication date
01-06-2021
Publisher
Springer International Publishing
Published in
Calcolo / Issue 2/2021
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-021-00403-y

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