Fractional differential equations of Caputo–Katugampola type and numerical solutions

Shengda Zeng, Dumitru Baleanu, Yunru Bai and Guocheng Wu

Applied Mathematics and Computation, 2017, vol. 315, issue C, 549-554

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(ΔT1−α). Numerical examples are given to test the accuracy.

Keywords: Numerical method; Fractional Caputo–Katugampola differential equations; Caputo derivative; Caputo–Hadamard derivative (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:315:y:2017:i:c:p:549-554

DOI: 10.1016/j.amc.2017.07.003

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