Existence of mild solutions to nonlocal fractional Cauchy problems via compactness
type: Item
instance of: scholarly article
title: Existence of mild solutions to nonlocal fractional Cauchy problems via compactness
zbMATH Open document ID: 1470.34025
DOI: 10.1155/2016/4567092
author: Rodrigo Ponce
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We obtain characterizations of compactness for resolvent families of operators and as applications we study the existence of mild solutions to nonlocal Cauchy problems for fractional derivatives in Banach spaces. We discuss here simultaneously the Caputo and Riemann-Liouville fractional derivatives in the cases \(0 < \alpha < 1\) and \(1 < \alpha < 2 \).
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 6929366
Wikidata QID: Q59121529
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/4567092
OpenAlex ID: W2518816204
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description: scientific article; zbMATH DE number 6929366