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Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations - MaRDI portal

Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations (Q1722341)

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scientific article; zbMATH DE number 7021928
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Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations
scientific article; zbMATH DE number 7021928

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    Existence theory for \(q\)-antiperiodic boundary value problems of sequential \(q\)-fractional integrodifferential equations (English)
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    14 February 2019
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    Summary: We discuss the existence and uniqueness of solutions for a new class of sequential \(q\)-fractional integrodifferential equations with \(q\)-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.
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