On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces
type: Item
instance of: scholarly article
title: On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces
zbMATH Open document ID: 1272.34010
DOI: 10.1155/2013/428094
author: Hussein A. H. Salem
author: Mieczysław Cichoń
published in: Journal of Function Spaces and Applications
publication date: 2013-07-05T00:00:00Z
review text: Summary: The objective of this paper is to investigate the existence of a class of solutions for some boundary value problems of fractional order with integral boundary conditions. The considered problems are very interesting and important from an application point of view. They include two, three, multipoint, and nonlocal boundary value problems as special cases. We stress on single and multivalued problems for which the nonlinear term is assumed only to be Pettis integrable and depends on the fractional derivative of an unknown function. Some investigations on fractional Pettis integrability for functions and multifunctions are also presented. An example illustrating the main result is given.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34G20
zbMATH DE Number: 6184396
Wikidata QID: Q59014213
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/428094
OpenAlex ID: W2046710519
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description: scientific article; zbMATH DE number 6184396