Terminal Value Problems for the Nonlinear Systems of Fractional Differential Equations
Loading...
Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
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. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Terminal Value Problems, System Of Fractional Differential Equations, Discrete Collocation Methods, Piecewise Polynomials Spaces, system of fractional differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Volterra integral equations, discrete collocation methods, terminal value problems, Fractional ordinary differential equations, Numerical methods for integral equations, Numerical methods for initial value problems involving ordinary differential equations, piecewise polynomials spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2021). "Terminal value problems for the nonlinear systems of fractional differential equations", Applied Numerical Mathematics, Vol. 170, pp. 162-178.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
47
Source
Applied Numerical Mathematics
Volume
170
Issue
Start Page
162
End Page
178
PlumX Metrics
Citations
CrossRef : 50
Scopus : 53
Captures
Mendeley Readers : 1
Google Scholar™
