Abstract Differential Equations and Caputo Fractional Derivative

2021/07/27 by Paulo M. Carvalho-Neto, Carvalho-Neto, Paulo M. · 1 citation
Mathematics · #26A33 #33E12 #35R11 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2107.12528

openalex publication_date 2021/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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