Fractional differential equations of Caputo-Katugampola type and numerical solutions. (English) Zbl 1426.65097
Summary: 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 \(O(\mathop{\Delta} T^{1 - \alpha})\). Numerical examples are given to test the accuracy.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
Keywords:
numerical method; fractional Caputo-Katugampola differential equations; Caputo derivative; Caputo-Hadamard derivativeReferences:
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