A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative. Our approach is based on the -semigroups theory combined with some suitable fixed point t...

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Bibliographic Details
Published in:Advances in difference equations 2009-01, Vol.2009 (1), p.1-47
Main Authors: Agarwal, RaviP, Belmekki, Mohammed, Benchohra, Mouffak
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Research Article
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Summary:We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative. Our approach is based on the -semigroups theory combined with some suitable fixed point theorems.
ISSN:1687-1839
1687-1847
DOI:10.1155/2009/981728