On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces
Joint Authors
Salem, Hussein A. H.
Cichoń, Mieczysław
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The object 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.
American Psychological Association (APA)
Salem, Hussein A. H.& Cichoń, Mieczysław. 2013. On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-471438
Modern Language Association (MLA)
Salem, Hussein A. H.& Cichoń, Mieczysław. On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-471438
American Medical Association (AMA)
Salem, Hussein A. H.& Cichoń, Mieczysław. On Solutions of Fractional Order Boundary Value Problems with Integral Boundary Conditions in Banach Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-471438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471438