Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case (Q2016700)

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scientific article; zbMATH DE number 6306111
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Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case
scientific article; zbMATH DE number 6306111

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    Existence theory for \(n\)th order nonlocal integral boundary value problems and extension to fractional case (English)
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    20 June 2014
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    Summary: This paper is devoted to the study of the existence and uniqueness of solutions for \(n\)th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fractional analogue of the higher-order problem of ordinary differential equations.
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    fixed point theorems
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    Caputo type fractional
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