Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions (Q2842008)

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scientific article; zbMATH DE number 6192863
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions
scientific article; zbMATH DE number 6192863

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    Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions (English)
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    30 July 2013
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    fractional differential equations
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    fractional differential inclusions
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    nonlocal conditions
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    fractional integral boundary conditions
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    existence
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    contraction principle
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    nonlinear contraction
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    The author studies boundary value problems for nonlinear fractional differential equations and inclusions of order \(q\in (1,2]\) with nonlocal and integral boundary conditions. Several existence and uniqueness theorems are proved by using different fixed point theorems. An example is provided.
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