Collocation Methods for Terminal Value Problems of Tempered Fractional Differential Equations
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
Green Open Access
No
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Top 1%
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Abstract
A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Terminal Value Problems, Tempered Fractional Differential Equations, Discrete Collocation Methods, Piecewise Polynomials Spaces, Fredholm-Volterra Integral Equations, Volterra integral equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Fredholm-Volterra integral equations, discrete collocation methods, terminal value problems, fractional differential equations, Fractional ordinary differential equations, Numerical methods for integral equations, piecewise polynomials spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2020). "Collocation methods for terminal value problems of tempered fractional differential equations", Applied Numerical Mathematics, Vol. 156, pp. 385-395.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
89
Source
Applied Numerical Mathematics
Volume
156
Issue
Start Page
385
End Page
395
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CrossRef : 91
Scopus : 107
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4
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