Terminal value problems for the nonlinear systems of fractional differential equations

Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solution is obtained in the weighted spaces. Discretized piecewise polynomial collocation methods are proposed on the graded mesh. A convergence analysis a...

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Bibliographic Details
Published in:Applied numerical mathematics 2021-12, Vol.170, p.162-178
Main Authors: Shiri, Babak, Wu, Guo–Cheng, Baleanu, Dumitru
Format: Article
Language:English
Subjects:
Discrete collocation methods
Piecewise polynomials spaces
System of fractional differential equations
Terminal value problems
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Summary:Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solution is obtained in the weighted spaces. Discretized piecewise polynomial collocation methods are proposed on the graded mesh. A convergence analysis and the order are presented. Numerical examples for supporting theoretical results and applications for population models are illustrated.
ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2021.06.015