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Hyers-Ulam stability of a class of fractional linear differential equations

Hyers-Ulam stability of a class of fractional linear differential equations

In this paper, we investigate the Hyers-Ulam stability of a class of fractional linear differential equations. Applying the Laplace transform method, we prove that a class of fractional linear differential equations with Riemann-Liouville fractional derivatives is Hyers-Ulam stable. The results improve and extend some recent results.