The Abstract Cauchy Problem with Caputo–Fabrizio Fractional Derivative

The Abstract Cauchy Problem with Caputo–Fabrizio Fractional Derivative

J Bravo, C Lizama – Mathematics, 2022

Given an injective closed linear operator A defined in a Banach space X, and writing CFD t α the Caputo–Fabrizio fractional derivative of order α∈(0, 1), we show that the unique solution of the abstract Cauchy problem (∗) CFD t α u (t)= A u (t)+ f (t), t≥ 0 …