engleski

On Composition Identities for the Caputo Fractional Derivatives with Applications to Opial-type Inequalities

Using the Laplace transform we prove that some conditions in composition identities for the left-sided and right-sided Caputo fractional derivatives can be relaxed. As an application, an Opial-type inequality involving the Caputo fractional derivatives is presented.

Caputo fractional derivative; Opial-type inequality; Laplace transform

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