Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions (Q1951079)
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scientific article; zbMATH DE number 6167912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions |
scientific article; zbMATH DE number 6167912 |
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Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions (English)
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29 May 2013
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This paper deals with the existence of solutions for Riemann-Liouville fractional differential inclusions with integral boundary conditions. Different types of standard fixed point theorems like a nonlinear alternative for Kakutani maps, the nonlinear alternative of Leray-Schauder type with the selection theorem of Bressan and Colombo and Covitz and Nadler fixed point theorem are applied in establishing the existence and uniqueness of solutions.
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fractional differential inclusions
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boundary value problem
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integral boundary conditions
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multivalued maps
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convex values
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fixed point theorems
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