A Tau-Like Numerical Method for Solving Fractional Delay Integro-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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No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
In this paper, an operational matrix formulation of the Tau method is herein discussed to solve a class of delay fractional integrodifferential equations. The approximate solution is sought by using a suitable matrix representation of fractional and delay integrals. An error bound is herein for the first time discussed. Numerical examples show the effectiveness of the method. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Description
Keywords
Tau Method, Operational Matrix, Delay Integro-Differential Equations, Fractional Integrals, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Fractional derivatives and integrals, operational matrix, fractional integrals, Numerical methods for integral equations, Tau method, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, delay integro-differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Shahmorad, S.; Ostadzad, M.H.; Baleanu, D., "A Tau–Like Numerical Method for Solving Fractional Delay Integro–Differential Equations", Vol. 151, pp. 322-336, (2020).
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
32
Source
Applied Numerical Mathematics
Volume
151
Issue
Start Page
322
End Page
336
PlumX Metrics
Citations
CrossRef : 32
Scopus : 35
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Mendeley Readers : 9
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36
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Web of Science™ Citations
29
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3
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