Existence Results for a Riemann-Liouville-Type Fractional Multivalued Problem with Integral Boundary Conditions

We discuss the existence of solutions for a boundary value problem of Riemann-Liouville fractional differential inclusions of order α∈(2,3] with integral boundary conditions. We establish our results by applying the standard tools of fixed point theory for multivalued maps when the right-hand side o...

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Veröffentlicht in:Journal of function spaces 2013-01, Vol.2013 (2013), p.1-7
Hauptverfasser: Alsulami, Hamed H., Ntouyas, Sotiris. K., Ahmad, Bashir
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Sprache:eng
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Zusammenfassung:We discuss the existence of solutions for a boundary value problem of Riemann-Liouville fractional differential inclusions of order α∈(2,3] with integral boundary conditions. We establish our results by applying the standard tools of fixed point theory for multivalued maps when the right-hand side of the inclusion has convex as well as nonconvex values. An illustrative example is also presented.
ISSN:2314-8896
0972-6802
2314-8888
1758-4965
DOI:10.1155/2013/676045