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Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions - MaRDI portal

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
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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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