Fractional differential equations of Caputo-Katugampola type and numerical solutions

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 ( Δ T 1 − α ) . Numerical examples are given to test the accuracy.

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