Mild and strong solutions for Hilfer evolution equation

2019/07/03 by J. Vanterler da C. Sousa, Sousa, J. Vanterler da C., Leandro S. Tavares +3 · 1 citation
Mathematics · #26A33 #34A12 #34G25 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1907.02019

openalex publication_date 2019/07/03 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed point theorem and the Gronwall inequality.

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• Mild and classical solutions for fractional evolution differential equation

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