Fractional Differential Equations of Caputo-Katugampola Type and Numerical Solutions
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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, Fractional Caputo–Katugampola Differential Equations, 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
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0101 mathematics, 01 natural sciences
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32
Volume
315
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Start Page
549
End Page
554
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