Fractional differential equations of Caputo–Katugampola type and numerical solutions

摘要

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.