Fractional Differential Equations of Caputo-Katugampola Type and Numerical Solutions
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
This paper is concerned with a numerical method for solving generalized fractional differential equation of Caputo-Katugampola derivative. A corresponding discretization technique is proposed. Numerical solutions are obtained and convergence of numerical formulae is discussed. The convergence speed arrives at O(Delta T1-alpha). Numerical examples are given to test the accuracy. (C) 2017 Elsevier Inc. All rights reserved.
Description
Wu, Guo-Cheng/0000-0002-1946-6770; Zeng, Shengda/0000-0003-1818-842X
Keywords
Numerical Method, Fractional Caputo-Katugampola Differential Equations, Caputo Derivative, Caputo-Hadamard Derivative, Caputo-Hadamard derivative, numerical method, Fractional ordinary differential equations, fractional Caputo-Katugampola differential equations, Numerical methods for initial value problems involving ordinary differential equations, Caputo derivative
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
32
Source
Applied Mathematics and Computation
Volume
315
Issue
Start Page
549
End Page
554
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CrossRef : 22
Scopus : 79
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Mendeley Readers : 14
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85
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82
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2
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