Abstract Differential Equations and Caputo Fractional Derivative

Paulo M. Carvalho-Neto

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arXiv · 2107.12528

Abstract Differential Equations and Caputo Fractional Derivative

Paulo M. Carvalho-Neto

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Abstract

In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $\alpha\in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $\alpha$. I also present a study about the continuity of the Mittag-Leffler families of operators (for $\alpha\in(0,1]$), induced by sectorial operators.

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Paulo M. Carvalho-Neto. 2021-07-27. Abstract Differential Equations and Caputo Fractional Derivative. https://arxiv.org/abs/2107.12528

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