Fractional differential equations of Caputo-Katugampola type and numerical solutions
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Date
2017
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Publisher
Elsevier Science INC
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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.
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Keywords
Numerical Method, Fractional Caputo-Katugampola Differential Equations, Caputo Derivative, Caputo-Hadamard Derivative
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Source
Applied Mathematics and Computation
Volume
315
Issue
Start Page
549
End Page
554