## Abstract We study the existence of __W__^2,1^ solutions for singular and nonsmooth initial value problems of the type equation image where__T__ > 0 is a priori fixed, __x__~0~, __x__~1~ β β, and __F__: [0, __T__ ] Γ β β π«(β) \ {β οΈ} is a multivalued mapping. (Β© 2007 WILEYβVCH Verlag GmbH & Co.
On initial and boundary value problems for fractional order mixed type functional differential inclusions
β Scribed by Mohamed Abdalla Darwish; S.K. Ntouyas
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 722 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper we prove some existence results for initial and boundary value problems for functional differential inclusions of fractional order with both retarded and advanced arguments. The Banach fixed point theorem, the nonlinear alternative of the Leray-Schauder type and the Covitz-Nadler fixed point theorem are the main tools in deriving our proofs.
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